- Scarabosio, Laura; Faghihi, Danial; Wohlmuth, B.; Oden, J.T. “Goal-Oriented Adaptive Modeling of Random Heterogeneous Media and Model-Based Multilevel Monte Carlo Methods.”
*Computers & Mathematics with Applications,*arXiv preprint arXiv:1808.01923, 2018. - Lima, E. A. B. F.; Ghousifam, N.; Ozkan, A.; Oden, J. T.; Shahmoradi, A.; Rylander, M.N.; Wohlmuth, B.; and Yankeelov, T.E., “Calibration of Multi-Parameter Models of Avascular Tumor Growth Using Time Resolved Microscopy Data“.
*Scientific Reports,*8, article number: 14558, 2018. - Oden, J.T., “Adaptive multiscale predictive modeling”,
*Acta Numerica, v. 27*, pp. 353-450, 2018. - Farrell-Maupin, K. and Oden, J.T., “Adaptive Selection and Validation of Models of Complex Systems in the Presence of Uncertainty”,
*Research in Mathematical Sciences,*4:4, December 2017, published online https://doi.org/10.1186/s40687-017-0104-2. - Rocha, Heber; Almeida, Regina; Lima, Ernesto; Mello de Resende, Anna Claudia; Oden, J.T.; and Yankeelov, T.E. “A hybrid three-scale model of tumor growth”,
*Mathematical Models and Methods in Applied Sciences,*28 (1), October 2017. DOI:10.1142/S0218202518500021. - Lima, E.A.B.F.; Oden, J.T.; Wohlmuth, B.; Shahmoradi, A.; Hormuth, D.A.; Yankeelov, T.E.; Scarabosio, L.; and Horger, T., “Selection and Validation of Predictive Models on Tumor Growth based on Noninvasive Imaging Data”,
*Computer Methods in Applied Mechanics and Engineering*, Volume 327, Pages 277-305, December 2017, (online: DOI:10.1016/j.cma.2017.08.009). - Rahman, Mohammad Mamunur; Feng, Yusheng; Yankeelov, Thomas E.; and Oden, J. Tinsley. “A Fully Coupled Space-Time Multiscale Modeling Framework for Predicting Tumor Growth“,
*Computer Methods in Applied Mechanics and Engineering,*Volume 320, Pages 261-286, October 2017.

- Farrell-Maupin, K. and Oden, J.T., “Adaptive Selection and Validation of Models of Complex Systems in the Presence of Uncertainty“,
*Research in Mathematical Sciences,*4:14, August 2017. - Lima, E.A.B.F.; Oden, J.T.; Hormuth, D.A.; Yankeelov, T.E.; and Almeida, R.C.
Selection, calibration, and validation of models of tumor growth“,*“**Math. Models Methods Appl. Sci.***26**, 2341, 2016. - Oden,J.T.; Lima, E.A.B.F.; Almeida, R.C.; Feng, Y.S.; Rylander, M.N., Fuentes, D.; Faghihi, D.; Rahman, M.M.; DeWitt, M.; Gadde, M.; and Zhou, J.C. “Toward predictive multiscale modeling of vascular tumor growth,”
*Archives of Computational Methods in Engineering*, DOI10.1007/s 11831-015-9156-x, 2015. - Oden, J.T.; Farrell, K.; and Faghihi, D. “Estimation of error in observables of coarse-grained models of atomistic systems”,
*Advanced Modeling and Simulation in Engineering and Science*, 2:5, December, 2015 (DOI10.1.1186/s40323-015-0025-9). - Farrell, K.; Oden, J.T.; and Faghihi, D. “A Bayesian framework for adaptive selection, calibration, and validation of coarse-grained models of atomic systems,” Journal of Computational Physics, v. 295, pp. 181-208, 2015.
- Prudencio, E.E., Bauman, P. T.; Faghihi, D.; Ravi-Chandar, K.; and Oden, J.T. “A Computational Framework for Dynamic Data Driven Material Damage Control, Based on Bayesian Inference and Model Selection,”
*International Journal for Numerical Methods in Engineering,*v. 102, issue 3-4, pp. 379-403, 2015. Published online: DOI: 10.1002/nme.4669, April 2014. - Prudencio, E.E., Bauman, P. T.; Williams, Stephen V.; Faghihi, D.; Ravi-Chandar, K.; and Oden, J.T. “Real-Time Inference of Stochastic Damage in Composite Materials,”
*Journal of Composites B**Engineering*, v. 67, pp. 209-219, December 2014. Published online: doi:10.1016/j.compositesb.2014.07.004, July 2014. - Oden, J.T. Predictive Computational Science,”
*IACM Expressions, no.35, pp. 2-4, 2014*. - Farrell, Kathryn and Oden, J.T. “Calibration and Validation of Coarse-grained Models of Atomic Systems: Application to Semiconductor Manufacturing,”
*Journal of Computational Mechanics,*v54, issue 1, pp. 3-19, 2014. Published online: DOI 10.1007/s00466-014-1028y - Lima, E.A.B.F.; Almeida, Regina C.; and Oden, J.T. Analysis and Numerical Solution of Stochastic Phase-Field Models of Tumor Growth,”
*International Journal for Numerical Methods in Partial Differential Equations*, v.31, issue 2, pp. 552-574. - Oden, J.T., Prudencio, E.E., and Bauman, P., “Virtual Model Validation of Complex Multiscale Systems:Applications to Nonlinear Elastostatics,”
*Computer Methods in Applied Mechanics and Engineering*, v. 266, pp. 162–184, 2013.***** - Oden, J.T., Prudencio, E.E., and Hawkins-Daarud, A., “Selection and Assessment of Phenomenological Models of Tumor Growth.” online: http://www.worldscientific.com/doi/abs/10.1142/S0218202513500103,
*Mathematical Models and Methods in Applied Sciences*, v. 23, No. 7, pp. 1309-1338, 2013.*****cited 3 times - Hawkins-Daarud, A.; Prudhomme, S.; van der Zee, K.G.; and Oden, J.T. “Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth,” Journal of Mathematical Biology, printed online: DOI 10.1007/s00285-012-0595-9, 2012.
*****cited 6 times - Hawkins-Daruud, A.; Oden, J. T.; and Van der Zee, K. G. “Numerical Simulation of a Thermodynamically-Consistent Four-Species Tumor Growth Model“, in Special Issue devoted to AfriCOMP11,
*International Journal in Numerical Methods of Biomedical Engineering*, v. 28, Issue 1, pp. 3–24, 2012.*****cited 4 times - Prudhomme, S. and Oden J. T., “Preface to the special issue on modeling error estimation and adaptive modeling in computational mechanics,”
*Computer Methods in Applied Mechanics and Engineering*, v. 200, Issue: 37-40, p. 2625, 2011. - Ben Dhia, H; Chamoin, L.; Oden, J.T.; Prudhomme, S. “A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations,”
*Computer Methods in Applied Mechanics and Engineering*, doi:10.1016/j.cma.2010.12.011.*****cited 6 times - Van der Zee, K. G.; Oden, J.T.; Prudhomme, S.; and Hawkins, A. J. “Goal-Oriented Error Estimation for Cahn-Hilliard Models of Binary Phase Transition
*,” Numerical Methods in Partial Differential Equations*, v.27, pp. 160-196, 2011.*****cited 13 times - Oden, J.T. and Prudhomme, S. “Control of Modeling Error in Calibration and Validation Processes for Predictive Stochastic Models”
*, Special Issue in honor of Olek Zienkiewicz, edited by Edited By: Ted Belytschko, René de Borst, Charbel Farhat. International Journal for Numerical Methods in Engineering*, Volume 87, Issue 1-5, pages 262–272, 8 July – 5 August 2011. (Published online Sep 28, 2010: http://dx.doi.org/10.1002/nme.3038 in advance of print.)*****cited 7 times - Oden, J.T.; Moser, R.; and Ghattas, O. “Quantification of uncertainty in computer predictions, Part I”,
*SIAM News*, v. 43, no. 9-10, November, 2010. - Oden, J.T.; Moser, R.; and Ghattas, O. “Quantification of uncertainty in computer predictions, Part II”,
*SIAM News*, v. 43, no. 9-10, December 14, 2010. - Fuentes, D., Feng, Y., Elliott, A., Shetty, A., McNichols, R. J., Oden, J. T., and Stafford, R. J., “Adaptive real-time bioheat transfer models for computer driven MR-guided laser induced thermal therapy.”
*IEEE Trans. Biomed Engineering*, v.57, no. 5, pp. 1024-1030, 2010.*****cited 10 times - Almeida, R. C. and Oden, J.T., “Solution Verification, goal-oriented adaptive methods for stochastic advection-diffusion problems,
*Computer Methods in Applied Mechanics and Engineering*, v. 199, issues 37-40, pp. 2472-2486, August 2010.*****cited 13 times - Oden, J.T.; Hawkins, A.; and Prudhomme, S. “ General Diffuse-Interface Theories and an Approach to Predictive Tumor Growth Modeling”,
*Mathematical Models and Methods in Applied Sciences (M3AS)*, v. 20, no. 3, pp. 477-517, 2010.*****cited 28 times - Oden, J.T. “Finite element methods. “
*Scholarpedia*, v. 5 (5): 9836, 2010. Also, online at: http://www.scholarpedia.org/article/Finite_element_method. - Chamoin, L.; Prudhomme, S.; Ben Dhia, H.; Bauman, P.T.; and Oden, J. T. “Ghost forces and spurious effects in atomic-to-continuum coupling methods by the Arlequin approach
*,” Int. J. Numerical Methods in Engineering*, v. 83, pp. 1081-1112, 2010. (Published online: http://www3.interscience.wiley.com/journal/123337582/abstract?CRETRY=1&SRETRY=0, March 2010). - Fuentes, D.; Oden, J. T.; Diller, K. R.; Hazle, J.D.; Elliott, A.; Shetty, A.; and Stafford, R.J. “Computational Modeling and Real-Time Control of Patient-Specific Laser Treatment of Cancer”,
*Annals of Biomedical Engineering,*v.37, no. 4, pp. 763-782, 2009. - Feng, Y.; Fuentes, D.; Stafford, R. J.; and Oden, J.T. “Model-Based Real-Time Control for Laser Induced Thermal Therapy with Applications to Prostate Cancer Treatment”,
*SPIE,*Proc. SPIE 7175, 717515 (2009), DOI: 10.1117/12.816875.*SPIE, online http://spie.org/x648.html?product_id=816875.* - Feng, Y.; Fuentes, D.; Hawkins, A.; Bass, J.; Rylander, M. N.; Elliott, A.; Shetty, A.; Stafford, R. J.; and Oden, J. T. “Nanoshell-Mediated Laser Surgery Simulation for Prostate Cancer Treatment,”
*Engineering with Computers*, v. 25, pp. 3-13, 2009. Online version: http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00366-008-0109-y - Bauman, P. T.; Oden, J. T.; and Prudhomme, S. “Adaptive Multiscale Modeling of Polymeric Materials with Arlequin Coupling and Goals Algorithms,”
*Computer Methods in Applied Mechanics and Engineering,*v. 198, issues 5-8, pp. 799-818, 2009. - Prudhomme, S.; Chamoin, L.; Ben Dhia, H.; Bauman, P.T.; and Oden, J. T. “Introduction of an averaging operator for atomic-to-continuum coupling methods by the Arlequin approach,”
*Computer Methods in Applied Mechanics and Engineering*, (submitted 2008). - Oden, J.T.; Fuentes, David; Bass, Jon; and Feng, Yusheng. “Dynamic-data-driven systems aid patient-specific cancer therapy”, published online: 6 October 2008
*, online http://spie.org/x30406.xml,*SPIE Newsroom 10.1117/2.1200810.1220, 2008. - Prudhomme, S.; Ben Dhia, H.; Bauman, P. T.; Elkhodja, N.; and Oden, J.T..= “Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method”,
*Computer Methods in Applied Mechanics and Engineering*, Special Issue on Recent Advances in Computational Study of Nanostructures, v. 197, issues 41-42, pp. 3399-3409, 2008. - Feng, Y., Oden, J. T., and Rylander, M. N., “A Two-State Cell Damage Model Under Hyperthermic Conditions: Theory and In Vitro Experiments,”
*Journal of Biomedical Engineering*, v. 130, pp. (041016 )1-10, 2008. - Chamoin, L.; Oden, J.T.; and Prudhomme, S. “A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations”,
*Computer Methods in Applied Mechanics and Engineering*, Special Issue. Edited by Nicholas Zabaras, v. 197, issues 43-44, pages 3530-3546, 2008. - Bauman, P. T.; Ben Dhia, H.; Elkodja, N.; Oden, J.T.; and Prudhomme, S. “On the Application of the Arlequin Method to the Coupling of Particle and Continuum Models”,
*Computational Mechanics*, v. 42, no. 4, pp. 511-530, 2008.*Online version:*http://www.springerlink.com/content/p412jg5k462345n2/. - Feng, Y.; Fuentes, D.; Hawkins, A.; Oden, J.T., “MRTI-Based Optimization and Real-Time Laser Surgical Control for Cancer Treatment Using Fast Inverse Analysis Techniques,”
*BMEI*, pp. 168-172, 2008 International Conference on BioMedical Engineering and Informatics, 2008 - Feng, Y., Oden, J. T., and Rylander, M. N., “A Statistical Thermodynamics Based Model for Cell Damage and its Validation in Vitro,”
*Journal of Biomedical Engineering*, v. 130, pp. 1-10, 2008. - Oden, J.T., “Historical Comments on Finite Elements”, originally published as “A History of Scientific Computing,” Edited by Stephen G. Nash, pp. 128-152,1990 by Association for Computing Machinery, Inc. reprinted by permission by Society for Industrial and Applied Mathematics, 2007.
- Oden, J.T.; Diller, K.; Bajaj, C.; Browne, J.C.; Hazle, J.; Babuska, I.; Bass, J.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, David; Prudhomme, S.; Rylander, M.N.; Stafford, R.J.; Zhang, Y. “Dynamic Data-Driven Finite Element Models for Laser Treatment of Cancer”,
*Journal of Numerical Methods in Partial Differential Equations*, v. 23, Issue 4, pp. 904-922, 2007. - Oden, J.T.; Prudhomme, S.; and Bauman, P. “Error control for molecular statics problems,”
*International Journal for Multiscale Computational Engineering*, v. 4, No 5-6, pp. 647-662, 2007. - Oden, J.T.; Prudhomme, S.; Romkes, A.; and Bauman, P. “Multi-scale modeling of physical phenomena: Adaptive control of models,”
*SIAM Journal on Scientific Computing*, v.28, no. 6, pp. 2359-2389, 2006.**cited 84 times* - Romkes, A.; Prudhomme, S.; and Oden, J.T. “Convergence analysis of a discontinuous finite element formulation based on second order derivatives,
*Computer Methods in Applied Mechanics and Engineering*, v. 195, 3461-3482, 2006. - Romkes, A.; Oden, J.T.; and Vemaganti, K. “Multi-Scale Goal-Oriented Adaptive Modeling of Random Heterogeneous Materials,”
*Mechanics of Materials,*v. 38, pp. 859-872, 2006. - Fuentes, D.; Littlefield, D.; Oden, J.T.; and Prudhomme, S. “Extensions of goal-oriented error estimation methods to simulations of highly-nonlinear response of shock-loaded elastomer-reinforced structures,”
*Computer Methods in Applied Mechanics and Engineering*, v. 195, pp. 4659-4680, 2006. - Babuska, I. and Oden, J.T. “The Reliability of Computer Predictions: can they be trusted?”
*International Journal of Numerical Analysis and Modeling,*v.1, no. 1, pp. 1-18, 2005. - Oden, J.T.; Prudhomme, S.; and Demkowicz, L. “A Posteriori Error Estimation for Acoustic Wave Propagation Problems”, Archives of Computational Mechanics and Engineering, v. 12, no. 12, pp. 343-389, 2005.
- Oden, J.T.; Babuska, I.; Nobile, F.; Feng, Y.; and Tempone, R. “Theory and Methodology for estimation and control of errors due to modeling, approximation, and uncertainty.” MAFELAP 2003
*Special Issue of Computer Methods in Applied Mechanics and Engineering*, v. 194, issues 2-5, pp. 195-204, 2005. - Oden, J.T.; Prudhomme, S.; and Bauman, P. “On the Extension of Goal-Oriented Error Estimation and Hierarchical Modeling to Discrete Lattice Methods”,
*Computer Methods in Applied Mechanics and Engineering*, v.194, pp. 3668-3688, 2005. - Babuska, I. and Oden, J.T., “Verification and Validation in Computational Engineering and Science: Basic Concepts”,
*Computer Methods in Applied Mechanics and Engineering,*v. 193, issues 36-38, pp. 4057-4066, 2004. - Romkes, A. and Oden, J.T. “Adaptive Modeling of Wave propagation in Heterogeneous Elastic Solids,”
*Computer Methods in Applied Mechanics and Engineering*, v. 193, no. 6-8, pp. 539-559, 2004. - Prudhomme, S.; Nobile, F.; Chamoin, L.; and Oden, J.T. “Analysis of a Subdomain-Based Error Estimator for finite Element approximations of Elliptic Problems,”
*Numerical Methods for Partial Differential Equations*, v. 20, no. 2, pp. 165-192, 2004. - Guermond, J.L; Oden, J.T.; and Prudhomme, S. “Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows”,
*Journal of Mathematical Fluid Mechanics,*v. 6, pp. 194-248, 2004. - Prudhomme, S. and Oden, J.T. “Estimation des Erreurs de Discretisation pour les Problemes en Mechanique,”
*Revue Europeenne des Elements Finis*, Special Issue:*Estimateurs d’erreur pour les analyses elements finis*, Edited by Laurent Gallimard and Jean-Pierre Pelle, Hermes- Lavoisier, v. 12, no. 6, pp. 665-690, 2003. - Oden, J.T.; Prudhomme, S.; Westermann, T.; Bass, J.; and Botkin, M. E. “Error Estimation of Eigenfrequencies for Elasticity and Shell Problems,”
*Mathematical Models and Methods in Applied Sciences*v. 13, no. 3, pp. 323-344, 2003. - Guermond, J.L., Prudhomme, S.; and Oden, J.T. “An Interpretation of the Navier-Stokes-Alpha Model as a Frame-Indifferent Leray Regularization, in
*Physica D*, v. 177, pp. 23-30, 2003. - Romkes, A.; Prudhomme, S.; and Oden, J.T. “A Priori Error Analyses of a Stabilized Discontinuous Galerkin Method, in
*Computers & Mathematics with Applications*, v. 46, pp. 1289-1311, 2003. - Prudhomme, S.; Oden, J.T.; Westermann, T.; Bass, J.; and Botkin, M. E. “Practical Methods for a posteriori error estimation in engineering applications.”
*International Journal for Numerical Methods in Engineering*, v. 56, pp. 1193-1224, 2003. - Oden, J.T.; Belytschko, T.; Babuska, I.; and Hughes, T.J.R. “Research Directions in Computational Mechanics,”
*Computer Methods in Applied Mechanics and Engineering*, v. 192, pp. 913-922, 2003. - Romkes, A.; Prudhomme, S.; and Oden, J.T. “A Posteriori Error Estimation for a new Stabilized Discontinuous Galerkin Method,”
*Applied Mathematics Letters*, v. 16, pp. 447-452, 2003. - Guermond, J.L; Oden, J.T.; and Prudhomme, S. “Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows,”
*Journal of Mathematical Fluid Mechanics*, v. 5, pp. 1-55, 2003. - Korneev, V.; Flaherty, J.E.; Oden, J.T.; and Fish, J. “Additive Schwarz Algorithms for solving hp-Version Finite Element Systems on Triangular Meshes.” Applied Numerical Mathematics, v. 43, pp. 399-421, 2002.
- Prudhomme, S. and Oden, J.T. “Numerical Stability and Error Analysis for the Incompressible Navier-Stokes Equations,”
*Communications in Numerical Methods in Engineering*, v. 18(11), pp. 779-787, 2002. - Oden, J.T. and Prudhomme, S. “Estimation of Modeling Error in Computational Mechanics,”
*Journal of Computational Physics*, v. 182, pp. 396-515, 2002. *cited 156 times - Korneev, V.; Flaherty, J.E.; Oden, J.T.; and Fish, J. “Hp-Version Additive Schwarz Algorithms on Triangular Meshes,”
*Matematicheskoe Moshelirovanie*, v. 14, no. 2, pp. 61-94, 2002. - Deb, M. K.; Babuska, Ivo M.; and Oden, J.T. “Solution of Stochastic Partial Differential Equations (SPDEs) using Galerkin Method and Finite Element Techniques,” Computer Methods in Applied Mechanics and Engineering, v. 190, pp. 6359-6372, 2001.
**cited 296 times* - Vemaganti, Kumar and Oden, J.T. “Estimation of Local Modeling Error and Goal-Oriented Adaptive Modeling of Heterogeneous Materials. Part 2: A Computational Environment for Adaptive Modeling of Heterogeneous Elastic Solids,”
*Computer Methods in Applied Mechanics and Engineering*, v. 190, nos. 46-47, pp. 6089-6124, 2001. - Oden, J.T. “Terascale Computing: the Nemesis or the Grail of Computational Engineering and Science,” in
*Mathematics Today*, v. 37, no. 6, pp. 164-166, December 2001. - Oden, J.T.; Prudhomme, S.; Hammerand, D. C.; and Kuczma, M. S. “Modeling Error and Adaptivity in Nonlinear Continuum Mechanics,
*Computer Methods in Applied Mechanics and Engineering*, v. 190, pp. 6663-6684, 2001. - Oden, J.T. “What’s New at TICAM?”
*Expressions*, No. 10, pp. 8-13, January 2001. - Prudhomme, S.; Pascal, F.; Oden, J.T.; and Romkes, A. “A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method,” in
*C.R. Acad. Sci. Paris*, t.332, Série 1 Anaylyse Numérique, pp. 851-856, 2001. - Oden, J.T. and Vemaganti, K.S. “Estimation of Local Modeling Error and Goal-Oriented Adaptive Modeling of Heterogeneous Materials. Part 1: Error Estimates and Adaptive Algorithms.”
*Journal of Computational Physics*, v. 164, pp. 22-47, 2000. *cited 192 times - Oden, J.T., and Vemaganti, K. “Adaptive Modeling of Composite Structures: Modeling Error Estimation.”
*International Journal for Computational Civil and Structural Engineering,*v. 1, pp. 1-16, 2000. - Oden, J.T. and Prudhomme, S. “Goal-Oriented Error Estimation and Adaptivity for the Finite Element Method.”
*Computers & Mathematics with Applications*, v. 41, no. 5-6, pp. 735-756, 2001. - Duarte, C.A.; Babuska, I.; and Oden, J.T. “Generalized Finite Element Methods for Three Dimensional Structural Mechanics Problems.”
*Computers and Structures*, v. 77, pp. 215-232, 2000. - Oden, J.T. and Cho, J.R. “Functionally Graded Material: A Parametric Study on Thermal Stress Characteristics using the Crank-Nicolson-Galerkin Scheme.
*” Computer Methods in Applied Mechanics and Engineering*, v. 188, pp. 17-38, 2000. - Oden, J.T. and Vemaganti, Kumar. “Adaptive Hierarchical Modeling of Heterogeneous Structures”
*Physica D*, v. 133, pp. 404-415, 1999. - Prudhomme, S. and Oden, J.T. “On Goal-Oriented Error Estimation for Elliptical Problems: Application to the Control of Pointwise Errors.” Special Issue: New Advances in Adaptive Computational Methods, edited by Pierre Ladevez.
*Computer Methods in Applied Mechanics and Engineering*v. 176, pp. 313-331, 1999.**cited 276 times* - Baumann, C. E. and Oden, J.T. “An Adaptive-Order Discontinuous Galerkin Method for the Solution of the Euler Equations of Gas Dynamics.” Special Issue in memory of Dick Gallagher edited by Roland Lewis.
*International Journal for Numerical Methods in Engineering*, v. 47, pp. 61-73, 2000. - Oden, J.T.; Vemaganti, K.; and Moës, N., “Hierarchical Modeling of Heterogeneous Solids.” Special issue: Computational Advances in Modeling Composites and Heterogeneous Materials, edited by Jacob Fish.
*Computer Methods in Applied Mechanics and Engineering)*v. 172, pp. 3-25, 1999. - Oden, J.T. and Prudhomme, S. “New Approaches to Error Estimation and Adaptivity for the Stokes and Oseen Equations.”
*International Journal for Numerical Methods in Fluids*, v. 31, pp. 3-15, 1999. - Oden, J.T.; Babuska, I.; and Baumann, C.E. “A Discontinuous hp Finite Element Method for Diffusion Problems,”
*Journal of Computational Physics*, v. 146, pp. 491-519, 1998.**cited 434 times* - Moës, N.; Oden, J.T.; Vemaganti, K.; and Remacle, J.F. “Simplified Methods and a posteriori error Estimation for the Homogenization of Representative Volume Elements (RVE).” Special Issue: New Advances in Adaptive Computational Methods, edited by Pierre Ladevez.
*Computer Methods in Applied Mechanics and Engineering,*v. 176, pp. 265-278, 1999. - Baumann, C.E. and Oden, J.T. “A Discontinuous hp Finite Element Method for the Euler and Navier-Stokes Equations.”
*International Journal for Numerical Methods in Fluids,*v. 31, pp. 79-95, 1999. - Baumann, C. and Oden, J.T. “A Discontinuous hp Finite Element Method for Convection-Diffusion Problems.” Special Issue: Spectral, Spectral Element, and HP Methods in CFD, edited by George Karniadakis.
*Computer Methods in Applied Mechanics and Engineering*, v. 175, pp. 311-341, 1999. - Babuska, I.; Baumann, C. E.; and Oden, J.T. “A Discontinuous hp Finite Element Method for Diffusion Problems: 1-D Analysis”,
*Computers and Mathematics with Applications*, v. 37, pp. 103-122, 1999. - Prudhomme, S. and Oden, T. “A Posteriori Error Estimation and Error Control for Finite Element Approximations of the Time-Dependent Navier-Stokes Equations.”
*Finite Elements in Analysis and Design*, v. 33, pp. 247-262, 1999. - Messina, P.; Culler, D.; Pfieffer, W.; Martin, W.; Oden, J.T.; and Smith, G. “Architecture.”
*Communications of the ACM*, v. 41, no. 11, pp. 26-44, November 1998. - Tworzydlo, W.W.; Cecot, W.; Oden, J.T.; and Yew, C.H. “Computational Micro- and Macroscopic Models of Contact and Friction: Formulation, Approach, and Applications.”
*Wear*, v. 220, pp. 113-140, 1998. - Oden, J.T.; Feng, Y.; and Prudhomme, S. “Local and Pollution Error Estimation for Stokesian Flows.”
*International**Journal for Numerical Methods in Fluids*, v. 27, pp. 33-39, 1998. - Oden, J.T.; Duarte, C.A.M.; and Zienkiewicz, O.C. “A New Cloud-Based hp Finite Element Method
*”, Computational Methods and Applied Mechanical Engineering*, v. 153, no. 1-2, pp. 117-126, 1998. - Moës, N.; Oden, J.T.; and Zohdi, T. “Investigation of the Interaction between the Numerical and the Modeling Errors in the Homogenized Dirichlet Projection Method
*”, Computer Methods in Applied Mechanics and Engineering*, v. 159, no. 1-2, pp. 79-102, 1998. - Cho, J.R. and Oden, J.T.. “Locking and Boundary Layer in Hierarchical Models for Thin Elastic Structures”,
*Computer Methods in Applied Mechanics and Engineering*, v. 149, pp. 33-48, 1997. - Ainsworth, M. and Oden, J.T., “A Posteriori Error Estimation for the Stokes and Oseen Equations”,
*SIAM Journal of Numerical Analysis*, v. 34, no. 1, pp. 228-245, 1997. - Geng, P.; Oden, J.T.; and van de Geijn, R.A. “A Parallel Multifrontal Algorithm and Its Implementation.”
*Computer Methods in Applied Mechanics and Engineering*, v. 149, pp. 289-301, 1997. - Franco, J.R.Q.; Oden, J.T.; Ponter, A.R.S.; and Barros, F.B. “A Posteriori Error Estimator and Adaptive Procedures for Computation of Shakedown and Limit Loads on Pressure Vessels.” special issue
*Computer Methods in Applied**Mechanics and Engineering*, Symposium on Advances in Computational Mechanics, January 13-15, 1997, v. 150, no. 1-4, pp. 155-171, 1997. - Patra, A. and Oden, J.T., “Computational Techniques for Adaptive hp-Finite Element Methods”,
*Finite Elements in Analysis and Design,*v. 25, pp. 27-29, 1997. - Patra, A. and Oden, J.T. “Computational Techniques for Adaptive hp-Finite Element Methods.”
*Adaptive Meshing, Part 1.*Special Issue of*Finite Elements in Analysis and Design*, v. 25, no. 1-2, pp. 27-39, March 20, 1997. - Oden, J.T. and Zohdi, T. I. “Analysis and Adaptive Modeling of Highly Heterogeneous Elastic Structures.”
*Computer Methods in Applied Mechanics and Engineering,*v. 148, pp. 367-391, 1997. - Ainsworth, M. and Oden, J.T. “A Posteriori Error Estimations in Finite Element Analysis,”
*Computational Mechanics Advances*,*Computer Methods in Applied Mechanics and Engineering*, v. 142, no. 1-2, pp. 1-88, 1997.**cited 547 times* - Duarte, C. A. and Oden, J.T., “An h-p Adaptive Method Using Clouds.”
*Computer Methods in Applied Mechanics and Engineering*, v. 139, pp. 237-262, 1996. - Oden, J.T. and Cho, J.R. “Adaptive hpq-Finite Element Methods of Hierarchical Models for Plate-and Shell-Like Structures”,
*Computer Methods in Applied Mechanics and Engineering*, v. 136, no. 3-4, pp. 317-346, 1996. - Patra, A. and Oden, J.T. “Computational Techniques for Adaptive hp-Finite Element Methods”, Computer Methods in Applied Mechanics and Engineering, v. 133, Nos. 3-4, July 1996, pp. 287-317, 1996.
- Zohdi, T.I.; Oden, J.T.; and Rodin, G.J. “Hierarchical Modeling of Heterogeneous Bodies.”
*Computer Methods in Applied Mechanics and Engineering*, v. 138, pp. 273-298, 1996. - Oden, J.T.; Patra, A.; and Feng, Y. “Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods.”
*SIAM Journal of Numerical Analysis*, v. 34, no. 5, pp. 1-29, December 1997. - Bey, K.S. and Oden, J.T.
*“*hp*–*Version Discontinuous Galerkin Methods for Hyperbolic Conservation Laws”.*Computer Methods in Applied Mechanics and Engineering*, v. 133, no. 3-4, pp. 259-286, 1996. - Duarte, C. A. and Oden, J.T. “Hp Clouds – A Meshless Method to Solve Boundary-Value Problems.”
*Numerical Methods for Partial Differential Equations*, v. 12, pp. 1-33, 1996. - Cho, J.R. and Oden, J.T. “Local A Posteriori Error Estimation of Hierarchical Models for Plate- and Shell-Like Structures.”
*Computers in Mathematics with Applications,*v. 149, pp. 33-48, 1997. - Oden, J.T. and Cho, J.R. “A Priori Error Estimations of hp-Finite Element Approximation for Hierarchical Models of Plate- and Shell- Like Structures.” Computer Methods in Applied Mechanics and Engineering, v. 132, pp. 135-177, 1996.
- Geng, P.; Oden, J.T.; and Demkowicz, L. “Numerical Solution and A Posteriori Error Estimation of Exterior Problems by a Boundary Element Method at High Wave Numbers.”
*Journal of Acoustical Society of America v.*100, no. 1, pp. 335-345, July 1996. - Geng, P.; Oden, J.T.; and van de Geijn, R. “Massively Parallel Computation for Acoustical Scattering Problems using Boundary Element Methods.”
*Journal of Sound and Vibrations*, v. 191, no. 1, pp. 145-165, 1996. - Geng, P.; Oden, J.T.; and Demkowicz, L. “Solution of Exterior Acoustic Problems by the Boundary Element Method at High Wave numbers, Error Estimation and Parallel Computation.”
*Journal of Acoustical Society of America v.*100, no. 1, pp. 335-345, July 1996. - Liu, W. K.; Belytschko, T.; and Oden, J.T. “Preface to Special Issue on Meshless Methods.” Computer Methods in Applied Mechanics and Engineering, Special Issue on Meshless Methods. Edited by J.A. Argyris, T.J.R. Hughes, and J.T. Oden, v. 139, pp. 1-2, 1996.
- Cho, J.R. and Oden, J.T. “
*A Priori*Modeling Error Estimates of Hierarchical Models for Elasticity Problems for Plate- and Shell-Like Structures.”*Mathematics of Computer Modeling,*v. 23, no. 10, pp. 117-133, 1996. - Oden, J.T.; Feng, Y.; and Prudhomme, S. “Local and Pollution Error Estimation for Finite Element Approximations of Elliptic Boundary Value Problems.”
*Journal of Computational and Applied Mathematics*, v. 74, pp. 245-293, November 1996. - Franco, J. R.Q.; Ponter, A. R.S.; and Oden, J. T. “Metodo Adaptativo de Elementos Finitos Na Computacao De Carga Limite E De Shakedown Em Cascas Finas Axi-Simetricas.” Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria, v. 11, no. 4, pp. 683-693, 1995.
- Bey, K.S.; Patra, A.; and Oden, J.T. “
*hp-*Version Discontinuous Galerkin Methods for Hyperbolic Conservation Laws: A Parallel Adaptive Strategy.”*International Journal for Numerical in Engineering*, v. 38, pp. 3889-3908, 1995. - Patra, A. and Oden, J.T. “Problem Decomposition for Adaptive
*hp*Finite Element Methods.”*Computing Systems in Engineering*, v. 6, no. 2, pp. 97-109, 1995. - Safjan, A. and Oden, J.T. “High-Order Taylor-Galerkin and Adaptive
*hp*-Methods for Linear Hyperbolic Systems.”*Journal of Computational Physics,*v. 120, p. 206-230, 1995. - Tworzydlo, W.; and Oden, J.T. “Knowledge-Based Methods and Smart Algorithms in Computational Mechanics.”
*Engineering Fracture Mechanics*, v. 50, no. 5/6, pp. 759-800, 1995. - Oden, J.T.; Wu, W.; and Legat, V. “An hp Adaptive Strategy for Finite Element Approximations of the Navier-Stokes Equations.”
*International Journal for Numerical Methods in Fluids*, v. 20, no. 8-9, pp. 831-852,1995. - Babuska, I. and Oden, J.T. “Benchmark Computations II: Further Comments.”
*International**Association for Computational Mechanics (IACM) Bulletin*, v. 10, no. 1, pp. 4-7, 1995. - Oden, J.T. and Patra, A. “A Parallel Adaptive Strategy for hp Finite Element Computations.”
*Computer Methods in Applied Mechanics and Engineering,*v. 121, pp. 449-470, 1995. - Legat, V. and Oden, J.T. “An Adaptive h-p Finite Element Method for incompressible free surface Flows of Generalized Newtonian Fluids.”
*ZAMP*, v. 46, special issue, S643-S678, 1995. - Oden, J.T.; Tworzydlo, W.W.; and Becker, E.B. “Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities.” Friction-induced Vibration, Special Issue of Applied Mechanical Reviews, v. 47, no. 7, pp. 255-274, July 1994.
- Huang, C.Y. and Oden, J.T. “GAMMA2D: A Multiregion/Multiblock, Structured/Unstructured Grid Generation Package for Computational Mechanics.”
*Computers and Structures,*v. 53, no. 2, pp. 375-410, 1994. - Oden, J.T. “Optimal hp-Finite Element Methods.”
*Computer Methods in Applied Mechanics and Engineering, v.*112, pp. 309-331, 1994. - Ainsworth, M.; Oden, J.T.; and Wu, W. “A Posteriori Error Estimation for hp-Approximations in Elastostatics.”
*Applied Numerical Mathematics*, v. 14, pp. 23-54, 1994. - Lee, C.Y. and Oden, J.T. “A Posteriori Error Estimation of h-p Finite Element Approximations of Frictional Contact Problems
*.” Computer Methods in Applied Mechanics and Engineering*, v. 113, pp. 11-45, 1994. - Demkowicz, L. and Oden, J.T. “Recent Progress on Application of
*hp*-Adaptive BE/FE Methods to Elastic Scattering.”*International Journal for Numerical Methods in Engineering*, v. 37, pp. 2893-2910, 1994. - Oden, J.T.; Patra, A.; and Feng, Y. “Domain Decomposition for Adaptive
*hp*Finite Element Methods.”*American Mathematical Society series**Contemporary Mathematics*, American Mathematical Society, v. 180, pp. 295-301, 1994. - Oden, J.T.; Patra, A.; and Feng, Y. “Parallel Adaptive hp-Finite Element Methods for Problems in Fluid and Solid Mechanics”,
*Recent Developments in Finite Element Analysis, a book dedicated to Robert L. Taylor*, edited by T.J.R. Hughes, E. Oñate and O.C. Zienkiewicz, CIMNE, Barcelona, pp. 29-36, 1994. - Oden, J.T.; Wu, W.; and Ainsworth, M. “An A Posteriori Error Estimate for Finite Element Approximations of the Navier Stokes Equations.”
*Computer Methods in Applied Mechanics and Engineering*, v. 111, pp. 185-202, 1994. - Ainsworth, M.; Oden, J.T.; and Lee C.Y. “Local A Posteriori Error Estimators for Variational Inequalities.”
*International Journal for Numerical Methods in Partial Differential Equations,*v. 9, pp. 23-33, 1993. - Tworzydlo, W.W. and Oden, J.T. “Towards an Automated Environment in Computational Mechanics.”
*Computer Methods in Applied Mechanics and Engineering*, v. 104, pp. 87-143, 1993. - Lee, C.Y. and Oden, J.T. “A Priori Error Estimation of
*hp*-Finite Element Approximations of Frictional Contact Problems with Normal Compliance.”*International Journal of Engineering Science*, v. 31, no. 6, pp. 927-952, 1993. - Edwards, M.G.; Oden, J.T.; and Demkowicz, L. “An h-r Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions.”
*Journal of Scientific Computing-SIAM,*v. 14, no. 1, pp. 185-217, 1993. - Safjan, A. and Oden, J.T. “High-Order Taylor-Galerkin and Adaptive
*h-p*-Methods for Second-Order Hyperbolic Systems: Application to Elastodynamics.”*Computer Methods in Applied Mechanics and Engineering*, v. 103, Nos. 1-2, pp. 187-230, 1993. - Ainsworth, M. and Oden J.T. “A
*Posteriori*Error Estimators for Second Order Elliptic Systems. Part II. An Optimal Order Process for Calculating Self Equilibrating Fluxes from h-p Finite Element Approximation.”*Computers and Mathematics with Applications*, v. 26, no. 9, pp. 75-88, 1993. - Ainsworth, M. and Oden, J.T. “A
*Posteriori*Error Estimators for Second Order Elliptic Systems. Part I: Theoretical Foundations and A*Posteriori*Error Analysis.”*Computers and Mathematics with Applications*, v. 25, no. 2, pp. 101-113, 1993. - Karafiat, A.; Oden, J.T.; and Geng, P. “Variational Formulations and hp-Boundary Element Approximations for Hypersingular Integral Equations for Helmholtz Exterior Boundary Value Problems in Two Dimensions.”
*International Journal of Engineering Science*, v. 31, no. 4, pp. 649-672, 1993. - Oden, J.T.; Kennon, S.R.; Tworzydlo, W.W.; Bass, J.M.; and Berry, C. “Progress on Adaptive
*hp*-Finite Element Methods for the Incompressible Navier-Stokes Equations.”*Journal of Computational Mechanics*, v. 11, pp. 421-432, 1993. - Lee, C.Y. and Oden, J.T. “Theory and Approximation of Quasistatic Frictional Contact Problems.”
*Computer Methods in Applied Mechanics and Engineering*, v. 106, no. 3, pp. 407-429, 1993. - Ainsworth, M. and Oden, J.T. “A Unified Approach to A
*Posteriori*Error Estimation Using Element Residual Methods.”*Numerische Mathematik,*v. 65, pp. 23-50, 1993. - Ainsworth, M. and Oden, J.T. “A Procedure for a
*Posteriori*Error Estimation for*h-p*Finite Element Methods.”*Computer Methods in Applied Mechanics and Engineering*, v. 101, pp. 73-96, 1992. - Oden, J.T. “Adaptive Methods in Computational Fluid Dynamics.”
*Finite Elements in Fluids,*edited b*y*T.J. Chung, Hemisphere Publishers, N.Y., v. 7, pp. 3-30, 1992. - Tworzydlo, W.W.; Oden, J.T.; and Thornton, E.A. “Adaptive Implicit/Explicit Finite Element Method for Compressible Viscous Flows.”
*Computer Methods in Applied Mechanics and Engineering,*v. - Babuska, I. and Oden, J.T. “Benchmark Computations: What Is the Purpose and Meaning?”
*IACM Bulletin*, v. 7, no. 4, 1992. - Faria, L.O.; Oden, J.T.; Yavari, B.; Tworzydlo, W.W.; Bass, J.M.; and Becker, E.B. “Tire Modeling by Finite Elements.”
*TIRE Science and Technology,*v. 20, no. 1, pp. 33-56, 1992. - Tworzydlo, W.; and Huang, C.Y.; and Oden, J.T. “Adaptive Implicit/Explicit Finite Element Methods for Axisymmetric Viscous Turbulent Flows with Moving Boundaries.”
*Computer Methods in Applied Mechanics and Engineering*, v. 97, pp. 245-288, 1992. - Oden, J.T.; Demkowicz, L.; and Karafiat, A. “Solution of Elastic Scattering Problems in Linear Acoustics Using
*h-p*Boundary Element Method.”*Computer Methods in Applied Mechanics and Engineering,*v. - Safjan, A.; Demkowicz, L.; and Oden, J.T. “Adaptive Finite Element Methods for Hyperbolic Systems with Application to Transient Acoustics.”
*International Journal for Numerical Methods in Engineering,*v. - Oden, J.T. and Demkowicz, L. “
*h-p*Adaptive Finite Element Methods in Computational Fluid Dynamics.”*Computer Methods in Applied Mechanics and Engineering*, v. 89, pp. 11-40, 1991. - Demkowicz, L.; Oden, J.T.; Ainsworth, M.; and Geng, P. “Solution of Elastic Scattering Problems in Linear Acoustics Using
*h-p*Boundary Element Methods.”*Journal of Computational and Applied Mathematics, v.*36, pp. 29-63, 1991. - Demkowicz, L.; Oden, J.T.; Rachowicz W.; and Hardy, O. “An
*h-p*Taylor-Galerkin Finite Element Method for Compressible Euler Equations.”*Computer Methods in Applied Mechanics and Engineering*, v. 88, no. 3, pp. 363-396, 1991. - Safjan, A. and Oden, J.T. “
*h-p*Adaptive Finite Elements Methods in Transient Acoustics.”*Structural Acoustics,*ASME, NCA, v. 12, pp. 93-99, 1991. - Strouboulis, T. and Oden, J.T. “A
*Posteriori*Error Estimation of Finite Element Approximations in Fluid Mechanics.”*Computer Methods in Applied Mechanics and Engineering, v.*78, pp. 201-242, 1990. - Martins, J.; Oden, J.T; and Simoes, F. “Recent Advances in Engineering Science: A Study of Static and Kinetic Friction.”
*International Journal of Engineering Science,*v. 28, no. 1, pp. 29-92, 1990. - Oden, J.T. “The Best FEM.”
*Finite Element in Analysis and Design,*v. 7, pp. 103-114, 1990. - Demkowicz, L.; Oden, J.T.; and Rachowicz, W. “A New Finite Element Method for Solving Compressible Navier-Stokes Equations Based on an Operator Splitting Method and
*h-p*Adaptivity.”*Computer Methods in Applied Mechanics and Engineering*, v. 84, pp. 275-326, 1990. - Oden, J.T.; Demkowicz, L.; and Benninghof, J. “Fluid-Structure Interaction in Underwater Acoustics.” The
*Applied Mechanics Review*, v. 43, no. 5, Part 2, May, S374-S380, 1990. - Oden, J.T.; Bass, J.M.; Huang, C.Y.; and Berry C.W. “Recent Results on Smart Algorithms and Adaptive Methods for Two- and Three- Dimensional Problems in Computational Fluid Mechanics.”
*Computers and Structures, v.*35, no. 4, pp. 381-396, 1990. - Oden, J.T.; Demkowicz, L.; Liszka, T.; and Rachowicz W. “
*h-p*Adaptive Finite Element Methods for Compressible and Incompressible Flows.”*Computing Systems in Engineering,*v. - Oden, J.T.; Demkowicz, L.; Rachowicz, W.; and Westermann, T.A. “A
*Posteriori*Error Analysis in Finite Elements: The Element Residual Method for Symmetrizable Problems with Applications to Compressible Euler and Navier-Stokes Equations.”*Computer Methods in Applied Mechanics and Engineering,*v. - Thornton, E.A.; Oden, J.T.; Tworzydlo, W.W.; and Youn, S.K. “Thermo-viscoplastic Analysis of Hypersonic Structures Subjected to Severe Aerodynamic Heating.”
*Journal of Aircraft*, v. 27, no. 9, pp. 826-835, 1990. - Oden, J.T.; Faria, L.O.; Bass, J.M.; and Becker, E.B. “A Three-Dimensional Rolling Contact Model for a Reinforced Rubber Tire.” Tire Science and Technology, TSTCA, v. 17, no. 3, pp. 217-233, July-September, 1989.
- Rachowicz, W.; Oden, J.T.; and Demkowicz, L. “Toward A Universal
*h-p*Adaptive Finite Element Strategy. Part III: Design of*h-p*Meshes.”*Computer Methods in Applied Mechanics and Engineering*, v. 77, pp. 181-212, 1989. - Oden, J.T.; Demkowicz, L.; Rachowicz, L.; and Hardy, O. “Toward a Universal
*h-p*Adaptive Finite Element Strategy. Part I: Constrained Approximation and Data Structure.”*Computer Methods in Applied Mechanics and Engineering,*v. 77, pp. 79-112, 1989. - Oden, J.T.; Demkowicz, L.; Rachowicz, L.; and Hardy, O. “Toward a Universal
*h-p*Adaptive Finite Element Strategy. Part I: Constrained Approximation and Data Structure.”*Computer Methods in Applied Mechanics and Engineering,*v. 77, pp. 79-112, 1989. - Rachowicz, W. and Oden, J.T. “On the Accuracy and Convergence of Conjugate Flux Approximations.”
*Numerical Methods for Partial Differential Equations*, v. 124, pp. 44-55, 1989. - Rachowicz, W. and Oden, J.T. “On the Accuracy and Convergence of Conjugate Flux Approximations.”
*Numerical Methods for Partial Differential Equations*, v. 5, pp. 143-156, 1989. (Also appeared in v. 124, pp. 44-55, 1989.) - White, L. and Oden, J.T. “Dynamics and Control of Viscoelastic Solids with Contact and Friction Effects.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 13, no. 4, pp. 459-474, 1989. - Rabier, P and Oden, J.T. “Solution to Signorini-Like Contact Problems through Interface Models—Part II: Existence and Uniqueness Theorems.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 12, no. 1, pp. 1-17, 1988. - Oden, J.T. and Bass, J. “Numerical Solution of the Evolution Equations of Damage and Rate-Dependent Plasticity.”
*International Journal of Engineering Science,*v. - Devloo, P.; Oden, J.T.; and Pattani, P. “An
*h-p*Adaptive Finite Element Method for the Numerical Simulation of Compressible Flow.”*Computer Methods in Applied Mechanics and Engineering*, v. 70, pp. 203-235, 1988. - Kim, S.J. and Oden, J.T. “A Note on the Numerical Analysis of Material Damage Based on the Theory of Materials of Type N.”
*Computers and Mathematics with Applications,*v. - Oden, J.T.; Lin, T.L.; and Bass, J. “A Finite Element Analysis of the General Rolling Contact Problem for a Viscoelastic Rubber Cylinder.”
*Tire Science and Technology*, v. 16, no. 1, pp. 18-43, 1988. - Oden, J.T. “New Models of Friction Nonlinear Elastodynamics Problems.”
*Journal de Mecanique Theorique et Appliquee*, Special Issue, Supplement v. 7, no. 1, pp. 47-54, 1988. - Bass, J. and Oden, J.T. “Adaptive Computational Methods for Chemically-Reacting Radioactive Flows.”
*International Journal of Engineering Science,*v. - Oden, J.T. and Rabier, P. “Solution to Signorini-Like Contact Problems Through interface Models—Part I: Preliminaries and Formulation of a Variational Equality.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 11, no. 12, pp. 1325-1350, 1987. - Devloo, P.; Oden, J.T.; and Strouboulis T. “Implementation of an Adaptive Refinement Technique for the SUPG Algorithm.”
*Computer Methods in Applied Mechanics and Engineering*, v. 61, pp. 339-358,1987. - Martins, J. and Oden, J.T. “Existence and Uniqueness Results for Dynamic Contact Problems with Nonlinear Normal and Friction Interface Laws.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 11, no. 3, pp. 407-428, 1987. - Wu, S.R. and Oden, J.T. “Convergence and Error Estimates for Finite Element Solutions of Elastohydrodynamic Lubrication.”
*Computers and Mathematics with Applications*, v. 13, no. 7, pp. 583-593, 1987. - Oden, J.T.; Strouboulis, T.; and Devloo, P. “Adaptive Finite Element Methods for High-Speed Compressible Flows.”
*International Journal for Numerical Methods in Fluids,*R. Glowinski, Guest Editor. v. 7, no. 11, pp. 1211-1228, 1987. - Bass, J. and Oden J.T. “Adaptive Finite Element Methods for a Class of Evolution Problems in Viscoplasticity.”
*International Journal of Engineering Science*, v. 25, no. 6, pp. 623-653, 1987. - Oden, J.T. and Wu, S. “A Note on Some Mathematical Studies on Elastohydrodynamic Lubrication.”
*International Journal of Engineering Science*, v. 25, no. 6, pp. 681-690, 1987. - Wu, S.R. and Oden, J.T. “A Note on Applications of Adaptive Finite Elements to Elastohydrodynamic Lubrication Problems.”
*Communications in Applied Numerical Methods*, v. 3, pp. 485-494, 1987. - Oden, J.T. and Lin, T. L. “On the General Rolling Contact Problem for Finite Deformations of a Viscoelastic Cylinder.”
*Computer Methods in Applied Mechanics and Engineering*, v. 57, pp. 297-367, 1986. - Demkowicz, L. and Oden, J.T. “On a Mesh Optimization Method Based on a Minimization of Interpolation Error.”
*International Journal of Engineering Science*, v. 24, no. 1, pp. 55-68, 1986. - Jacquotte, O.P.; Oden, J.T; and Becker, E. “Numerical Control of the Hourglass Instability.”
*International Journal for Numerical Methods in Engineering*, v. 22, pp. 219-228, 1986. - Rabier, J.; Martins, J.; Oden, J.T; and Campos, L. “Existence and Local Uniqueness of Solutions to Contact Problems in Elasticity with Nonlinear Friction Laws.”
*International Journal of Engineering Science*, v. 24, no. 11, pp. 1755-1768, 1986. - Demkowicz, L. and Oden J.T. “An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in Two Space Variables.”
*Computer Methods in Applied Mechanics and Engineering*, v. 55, Nos. 1-2, pp. 63-87, 1986. - Demkowicz, L. and Oden J.T. “An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in One Space Variable.”
*Journal of Computational Physics*, v. 67, no. 1, pp. 188-213, 1986. - Jacquotte, O. and Oden J.T. “An Accurate and Efficient A-
*Posteriori*Control of Hourglass Instabilities in Underintegrated Linear and Nonlinear Elasticity.”*Computer Methods in Applied Mechanics and Engineering*, v. 55, Nos. 1-2, pp. 105-128, 1986. - Oden, J.T.; Strouboulis T.; and Devloo, P. “Adaptive Finite Element Methods for the Analysis of Inviscid Compressible Flow. Part I: Fast Refinement/Unrefinement and Moving Mesh Methods for Unstructured Meshes.”
*Computer Methods in Applied Mechanics and Engineering*, v. 59, no. 3, pp. 327-362, 1986. - Strouboulis, T.; Devloo, P.; and Oden, J.T. “A Moving-Grid Finite Element Algorithm for Supersonic Flow Interaction between Moving Bodies.”
*Computer Methods in Applied Mechanics and Engineering*, v. 59, no. 2, pp. 235-255, 1986. - Wu, S.R. and Oden, J.T. “Studies in Convergence of Stochastic Models in Rough-Surface Hydrodynamic Lubrication Theory.”
*International Journal of Engineering Science, v.*23, pp. 207-215, 1985. - Campos, L. and Oden, J.T. “On the Principle of Stationary Complementary Energy in Finite Elastostatics.”
*International Journal of Engineering Science*, v. 23, no. 1, pp. 57-63, 1985. - Demkowicz, L.; Devloo, P.; and Oden, J.T. “On an
*h-*Type Mesh Refinement Strategy based on a Minimization of Interpolation Errors.”*Computer Methods in Applied Mechanics and Engineering*, v. 53, no. 3, pp. 67-89, 1985. - Oden, J.T. and Martins, J. “Models and Computational Methods for Dynamic Friction Phenomena.”
*Computer Methods in Applied Mechanics and Engineering*, v. 52, Nos. 1-3, pp. 527-634, 1985.**cited 642 times* - Kim, S.J. and Oden, J.T. “Generalized Flow Potentials in Finite Elastoplasticity, II. Examples.”
*International Journal of Engineering Science*, v. 23, no. 5, pp. 515-530, 1985. - Kim, S.J. and Oden, J.T. “Finite Element Analysis of a Class of Problems in Finite Elastoplasticity Based on the Thermodynamical Theory of Materials of Type N.”
*Computer Methods in Applied Mechanics and Engineering*, v. 53, pp. 277-302, 1985. - Demkowicz, L. and Oden, J.T. “Extraction Methods for Second Derivatives in Finite Element Approximations of Linear Elasticity Problems.”
*Communications in Applied Numerical Methods*, v. 1, pp. 137-139, 1985. - Oden, J.T. and Wu, S.R. “Existence of Solutions to the Reynolds’ Equation of Elastohydrodynamic Lubrication.”
*International Journal of Engineering Science*, v. 23, no. 2, pp. 235-240, 1985. - Oden, J.T. and Jacquotte, O. P. “Stability of Some Mixed Finite Element Methods for Stokesian Flows.”
*Computer Methods in Applied Mechanics and Engineering*, v. 43, pp. 231-248, 1984. - Kim, S.J. and Oden, J.T. “Generalized Potentials in Finite Elastoplasticity.”
*International Journal of Engineering Science*, v. 22, no. 11-12, pp. 1235-1257, 1984. - Jacquotte, O.P. and Oden, J.T. “Analysis of Hourglass Instabilities and Control in Underintegrated Finite Element Methods.”
*Computer Methods in Applied Mechanics and Engineering*, v. 44, pp. 339-363, 1984. - Oden, J.T. and Pires, E.B. “Algorithms and Numerical Results for Finite Element Approximations of Contact Problems, with Non-Classical Friction Laws.”
*Computers and Structures*, v. 19, no. 1-2, pp. 137-147, 1984. - Demkowicz, L.; Oden, J.T.; and Strouboulis T. “Adaptive Finite Element Methods for Flow Problems with Moving Boundaries. Part I: Variational Principles and A-
*Posteriori*Estimates.”*Computer Methods in Applied Mechanics and Engineering*, v. 46, pp. 217-251, 1984. - Endo, T.; Oden, J.T.; Becker, E.B.; and Miller, T. “ A Numerical Analysis of Contact and Limit Point Behavior in a Class of Problems of Finite Element Deformations.”
*Computers and Structures*, v. 18, no. 5, pp. 899-910, 1984. - Oden, J.T.; Becker, E.B.; Miller, T.H.; Endo, T.; and Pires, E.B. “Finite Element Methods for Nonlinear Elastostatic Problems in Rubber Elasticity.” NASA. Langley Researdh Center Tire Modeling, pp. 39-70, 1983.
- Oden, J.T. and Pires, E.B. “Numerical Analysis of Certain Contact Problems in Elasticity with Non-Classical Friction Laws.”
*Computers and Structures*, v. 18, Nos. 1-4, pp. 481-485, 1983. - Campos, L. and Oden, J.T. “Non-quasi-convex Problems in Nonlinear Elastostatics.”
*Advances in Applied Mathematics*, v. 4, pp. 380-401, 1983. - Oden, J.T. and Pires, E.B. “Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity.”
*Journal of Applied Mechanics*, v. 105, pp. 67-76,1983. - Pires, E.B. and Oden, J.T. “Analysis of Contact Problems with Friction under Oscillating Loads.”
*Computer Methods in Applied Mechanics and Engineering*, v. 39, pp. 337-362, 1983. - Martins, J.A.C. and Oden, J.T. “A Numerical Analysis of a Class of Problems in Elastodynamics with Friction.”
*Computer Methods in Applied Mechanics and Engineering*, v. 40, pp. 329-360, 1983. - Oden, J.T.; Kikuchi, N.; and Song, Y.J. “Penalty-Finite Element Methods for the Analysis of Stokesian Flows.”
*Computer Methods in Applied Mechanics and Engineering*, v. 31, pp. 297-329, 1982. - Demkowicz, L. and Oden, J.T. “On Some Existence and Uniqueness Results in Contact Problems with Non Local Friction.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 6, no. 10, pp. 1075-1093, 1982. - Oden, J.T. and Kim, S. J. “Interior Penalty Methods for Finite Element Approximation of the Signorini Problem in Elastostatics.”
*Computers and Mathematics with Applications*, v. 8, no. 1, pp. 35-56, 1982. - Oden, J.T. and Kikuchi, N. “Finite Element Methods for Constrained Problems in Elasticity.”
*International Journal for Numerical Methods in Engineering*, v. 18, pp. 701-725, 1982. - Pires, E.B. and Oden, J.T. “Error Estimates for the Approximation of a Class of Variational Inequalities Arising in Unilateral Problems with Friction.”
*Numerical Functional Analysis and Optimization*, v. 4, no. 4, pp. 397-412, 1982. - Oden, J.T. and Whiteman, J.R. “Analysis of Some Finite Element Methods for a Class of Problems in Elasto-Plasticity.”
*International Journal of Engineering Science*, v. 39, no. 9, pp. 977-988, 1982. - Campos, L.; Oden, J.T.; and Kikuchi, N. “A Numerical Analysis of a Class of Contact Problems with Friction in Elastostatics.”
*Computer Methods in Applied Mechanics and Engineering*, v. 34, pp. 821-845, 1982. - Oden, J.T. and Campos, L. “Some New Results on Finite Elment Methods for Contact Problems with Friction.” New Concepts in Finite Element Analysis. AMD v. 44. Edited by T.J.R. Hughes, D. Gartling, and R.L. Spilker. ASME, NY, pp. 1-7, 1981.
- Kubrusly, R. and Oden, J.T. “Nonlinear Eigenvalue Problems Characterized by Variational Inequalities with Applications to the Postbuckling Analysis of Unilaterally Supported Plates.”
*Nonlinear Analysis, Theory, Methods & Applications*, v. 5, no. 12, pp. 1265-1284, 1981. - LeTallec, P. and Oden, J.T. “Existence and Characterization of Hydrostatic Pressure in Finite Deformations of Incompressible Elastic Bodies.”
*Journal of Elasticity*, v. 11, no. 4, pp. 341-357, 1981. - Bernadou, M. and Oden, J.T. “An Existence Theorem for a Class of Nonlinear Shallow Shell Problems.”
*Journal de Mathematiques Pures et Appliquees*, v. 60, no. 3, pp. 285-308, 1981. - Alduncin, G. and Oden, J.T. “Analysis of Galerkin Approximations of a Class of Pseudomonotone Diffusion Problems.”
*SIAM Journal of Mathematical Analysis*, v. 12, no. 6 pp. 917-930, 1981. - Oden, J.T. and Kikuchi, N. “Theory of Variational Inequalities with Applications to Problems of Flow through Porous Media.”
*International Journal of Engineering Science*, v. 18, no. 10, (1980), pp. 1173-1284, 1980. - Bernadou, M. and Oden, J.T. “Theoreme d’Existence Pour Une Classe de Problemes Nonlineaires de Coques Peu Profondes.”
*Analyse Numerique*, CR Academe de Science, Paris, Serie A, pp. 1025-1028, 1980. - LeTallec, P. and Oden, J.T. “On the Existence of Hydrostatic Pressure in Regular Finite Deformations of incompressible Hyperelastic Solids.”
*Nonlinear Partial Differential Equations in Engineering and Applied Science*, pp. 1-13, 1980. - Ohtake, K.; Oden, J.T.; and Kikuchi, N. “Analysis of Certain Unilateral Problems in Von Karman Plate Theory by a Penalty Method–Part II: Approximation and Numerical Analysis.”
*Computer Methods in Applied Mechanics and Engineering*, v. 24, pp. 317-337, 1980. - Ohtake, K.; Oden, J.T.; and Kikuchi, N. “Analysis of Certain Unilateral Problems in Von Karman Plate Theory by a Penalty Method–Part I: A Variational Principle with Penalty.”
*Computer Methods in Applied Mechanics and Engineering*, v. 24, pp. 187-213, 1980. - Oden, J.T. “Existence Theorems for a Class of Problems in Nonlinear Elasticity.”
*Journal of Mathematical Analysis and Applications*, v. 69, no. 1, pp. 51-83, 1979. - Oden, J.T. “Recent Developments in the Theory of Finite Element Approximations of Boundary-Value Problems in Nonlinear Elasticity.”
*Computer Methods in Applied Mechanics and Engineering*, v. 17/18, pp. 183-202, 1979. Also appeared in FENOMECH 78, Proceedings of the International Conference on Finite Elements in Nonlinear Mechanics, ed. K.S. Pister, R.R. Reynolds and K.J. William. Amsterdam: North Holland Publishing Company, pp. 183-202, 1979. - Oden, J.T. and Reddy, C.T. “Finite Element Approximations of a Class of Highly Nonlinear Boundary-Value Problems in Finite Elasticity.”
*Journal of Numerical Functional Analysis and Optimization*, v. 1, no. 1, pp. 1-55, 1979. - Oden, J.T. “Existence Theorems and Approximations in Nonlinear Elasticity.” Nonlinear Equations in Abstract Spaces. Academic Press, Inc., pp. 265-274, 1978.
- Oden, J.T. and O’Leary, J. “Some Remarks on Finite Element Approximations of Crack Problems and an Analysis of a Hybrid Method.”
*Journal of Structural Mechanics*, v. 6, no. 4, pp. 415-436, 1978. - Babuska, I.; Oden, J.T.; and Lee, J.K. “Mixed-Hybrid Finite Element Approximations of Second-Order Elliptic Boundary-Value Problems, Part 2 – Weak-Hybrid Methods.”
*Computer Methods in Applied Mechanics and Engineering*, v. 14, pp. 1-22, 1978. - Oden, J.T. “A Theory of Penalty Methods for Finite Element Approximations of Highly Nonlinear Problems in Continuum Mechanics.”
*Computers and Structures*, v. 8, pp. 445-449, 1978. - Oden, J.T. and Bathe, K.J. “A Commentary on Computational Mechanics.”
*Applied Mechanics Review*, v. 31, no. 8, pp. 641-647, 1978. - Oden, J.T. and Nicolau del Roure, R. “Analysis of Finite Element Approximations of a Boundary-Value Problem in Nonlinear Elasticity.” Formulation and Computation Algorithms in Finite Element Analysis, 1977.
- Oden, J.T. and Kikuchi, N. “Variational inequalities: A New Approach to Complex Problems in Mechanics.”
*Engineering Science Perspective*, v. 2, no. 1, pp. 5-20, 1977. - Babuska, I.; Oden, J.T.; and Lee, J.K. “Mixed-Hybrid Finite Element Approximations of Second-Order Elliptic Boundary-Value Problems.”
*Computer Methods in Applied Mechanics and Engineering*, v. 11, pp. 175-206, 1977. - Oden, J.T. and Reddy, C.T. “Finite Element Approximation of a Two-Point Boundary-Value Problem in Nonlinear Elasticity.”
*Journal of Elasticity*, v. 7, no. 3, pp. 243-263, 1977. - Oden, J.T. and Reddy, C.T. “Existence Theorems for a Class of Problems in Nonlinear Elasticity II. Analysis of a Model Problem of Finite Strain.”
*International**Journal of Numerical Functional Analysis and Optimization*, v. 1, no. 1, pp. 1-62, 1977. - Oden, J.T. and Del Roure, N. “A Theory of Finite Element Approximations for a Class of Nonlinear Two-Point Boundary-Value Problems in Finite Elasticity.”
*International Journal of Engineering Science*, v. 15, no. 12, pp. 671-692, 1977. - Reddy, C.T. and Oden, J.T. “A Note on Optimal Error Estimates for Finite Element Approximations of a Nonlinear Two-Point Boundary-Value Problems.”
*Computers and Mathematics with Applications*, v. 3, pp. 117-123, 1977. - Oden, J.T. “A Mathematical Theory of Hybrid Finite Element Methods: Accuracy, Rates of Convergence, and Criteria for Their Successful Use.”
*Journal of the Franklin Institute*, v. 302, no. 5/6, pp. 413-427, 1976. - Oden, J.T. and Wellford Jr., L.C. “A Theory of Discontinuous Finite Element Galerkin Approximations of Shock Waves in Nonlinear Elastic Solids, I: Variational Theory.”
*Computer Methods in Applied Mechanics and Engineering*, v. 8, no. 1, pp. 1-16, 1976. - Oden, J.T. and Reddy, J.N. “On Mixed Finite Element Approximations.”
*SIAM Journal of Numerical Analysis*, v. 13, no. 3, pp. 393-404, 1976. - Wellford Jr., L.C. and Oden, J.T. “A Theory of Discontinuous Finite Element Galerkin Approximations of Shock Waves in Nonlinear Elastic Solids, II: Accuracy and Convergency.”
*Computer Methods in Applied Mechanics and Engineering*, v. 8, no. 1, pp. 17-36, 1976. - Bhandari, D.R.; Oden, J.T.; and Kubitza, W.K. “A Large Deformation Analysis of Crystalline Elasto-Viscoplastic Materials.”
*Journal of Nuclear Engineering and Design*, v. 29, pp. 360-369, 1975. - Oden, J.T. and Wellford Jr., L.C. “The Finite Element Analysis of Shocks and Acceleration Waves in Nonlinearly Elastic Solids.”
*Shock and Vibration Digest,*v. 7, no. 2, pp. 2-11, 1975. - Oden, J.T. and Reddy, J.N. “Some Observations on Properties of Certain Mixed Finite Element Approximations.” “Short Communications”,
*International Journal for Numerical Methods in Engineering*, v. 9, pp. 933-943, 1975. - Oden, J.T. and Wellford Jr., L.C. “Some New Finite Element Methods for the Analysis of Shock and Acceleration Waves in Nonlinear Materials.”
*Finite Element Analysis of Transient Nonlinear Structural Behavior*. New York: American Society of Mechanical Engineers, AMD v. 14, pp. 25-34, 1975. - Reddy J.N. and Oden, J.T. “Mixed Finite Element Approximations of Linear Boundary-Value Problems.”
*Quarterly of Applied Mathematics*, pp. 255-280, 1975. - Oden, J.T. and Lee. J.K. “Dual-Mixed Hybrid Finite Element Method for Second-Order Elliptic Problems.”
*Lecture Notes in Mathematics*, pp. 275-291, 1975. - Oden, J.T. and Wellford Jr., L.C. “Discontinuous Finite Element Approximations for the Analysis of Shock Waves in Nonlinearly Elastic Materials.”
*Journal of Computational Physics*, v. 19, no. 2, pp. 179-210, 1975. - Oden, J.T. and Wellford Jr., L.C. “Continuous and Discontinuous Finite Element Approximations of Shock Waves in Nonlinear Elastic Solids.”
*Computer Methods in Nonlinear Mechanics*, pp. 149-168, 1975. - Oden, J.T. “Galerkin Approximations of a Class of Nonlinear Boundary-Value Problems and Evolution Problems in Elasticity.”
*Lecture Notes in Mathematics*, v. 58, pp. 175-192, 1975. - Wellford Jr., L.C. and Oden, J.T. “A Note on the Accuracy and Convergence of Finite Element Approximations of the Convection Equation.”
*Computer Methods in Applied Mechanics and Engineering*, v. 5, pp. 83-96, 1975. - Fost, R.B.; Oden, J.T.; and Wellford Jr., L.C. “A Finite Element Analysis of Shock and Finite-Amplitude Waves in One-Dimensional Hyperelastic Bodies at Finite Strain.”
*International Journal**of Solids and Structures*, v. 11, no. 4, pp. 377-401, 1975. - Oden, J.T. and Bhandari, D.R. “Thermo-plastic Materials with Memory.” Journal of the Engineering Mechanics Division, Proceedings of the American Society of Civil Engineering, 1974.
- Oden, J.T. and Bhandari, D.R. “Some Amendments and Corrections to Variational Principles in Nonlinear Viscoelasticity.”
*International Journal**of Solids and Structures*, v. 10, pp. 469-472, 1974. - Oden, J.T. and Reddy, J.N. “On Dual-Complementary Variational Principles in Mathematical Physics.”
*International Journal**of Engineering Science*, v. 12, pp. 1-29, 1974. - Oden, J.T.; Key, J.E; and Fost, R.B. “A Note on the Analysis of Nonlinear Dynamics of Elastic Membranes by the Finite Element Method.”
*Computers & Structures*, v. 4, pp. 445-452, 1974. - Oden, J.T. and Bhandari, Dev R. “Thermo-Plastic Materials With Memory.”
*Journal of the Engineering Mechanics Division, Proceedings of the American Society of Civil Engineering*, v. 99, no. EM1, paper 9554, pp. 131-155, February 1973. - Oden, J.T.; Akay, H.U.; and Johnson, C.P. “Effect of Higher Order Terms in Certain Nonlinear Finite Element Models.”
*AIAA Journal*, v. 11, no. 11, pp. 1589-1590, 1973. - Sandidge, D. W. and Oden, J.T. “Stability and Post-Buckling Behavior of Hyperelastic Bodies at Finite Strain by the Finite Element Method.”
*Developments in Mechanics*, v. 7, pp. 305-320, 1973. - Oden, J.T. “Some Results of Finite Element Applications in Finite Elasticity.”
*Computers and Structures*, v. 3, pp. 175-194, 1973. - Oden, J.T. and Reddy, J.N. “Note on an Approximate Method for Computing Consistent Conjugate Stresses in Elastic Finite Elements.”
*International Journal for Numerical Methods in Engineering*, v. 6, no. 1, pp. 55-61, 1973. - Bhandari, D.R and Oden, J.T. “General Mixed Finite Element Methods of Nonlinear Continua.”
*ZAMM*, v. 53, pp. 441-451, 1973. - Oden, J.T. “Formulations and Application of Certain Primal and Mixed Finite Element Models of Finite Deformations of Elastic Bodies.”
*Notes in Computer Science*, v. 10, pp. 334-365, 1973. - Aquirre-Ramirez, G. and Oden, J.T. “Finite Element Technique Applied to Heat Conduction in Solids with Temperature-Dependent Thermal Conductivity.”
*International Journal**for Numerical Methods in Engineering*, v. 7, pp. 345-355, 1973. - Reddy, J.N. and Oden, J.T. “Convergence of Mixed Finite Element Approximations of a Class of Linear Boundary-Value Problems.”
*Journal of Structures and Mechanics*, v. 2, no. 2, pp. 83-108, 1973. - Oden, J.T. and Fost, R.B. “Convergence, Accuracy and Stability of Finite Element Approximations of a Class of Non-linear Hyperbolic Equations.”
*International Journal of Numerical Methods in Engineering*, v. 6, pp. 357-365, 1973. - Oden, J.T. and Key, J.E. “Analysis of Static Nonlinear Response by Explicit Time Integration.” “Short Communications.”
*International Journal of Numerical Methods in Engineering*, v. 7, pp. 225-227, 1973. - Bhandari, D.R. and Oden, J.T. “A Unified Theory of Thermoviscoplasticity of Crystalline Solids.”
*International Journal of Nonlinear Mechanics*, v. 8 pp. 261-277, 1973. - Oden, J.T.; Bhandari, D.R.; Yagawa, G.; and Chung, T.J. “A New Approach to the Finite-Element Formulation and Solution of a Class of Problems in Coupled Thermo-Elastoviscoplasticity of Crystalline Solids.”
*Nuclear Engineering and Design*, v. 24, pp. 420-430, 1973. - Oden, J.T. and Bhandari, D.R. “Variational Principles in Nonlinear Viscoelasticity.”
*International Journal of Solids and Structures*, v. 8, pp. 1017-1026, 1972. - Oden, J.T. and Key, J.E. “On the Effect of the Form of the Strain Energy Function on the Solution of a Boundary-Value Problem in Finite Elasticity.”
*Computers and Structures*, v. 2, no. 3, pp. 585-592, 1972. - Oden, J.T. and Reddy, J.N. “Mixed Conjugate Finite Element Approximations of Linear Operators.”
*Journal of Structural Mechanics*, v. 1, no. 1, pp. 113-131, 1972. - Oden, J.T. “An Imbedding Technique for Weak-Weak Finite Element Approximations of Linear and Nonlinear Operators.”
*Journal of the Structural Division*, ASCE, v. 98, no. EM5, paper 9228, pp. 1315-1330, 1972. - Oden, J.T. and Wellford Jr., L.C. “Analysis of Flow of Viscous Fluids by the Finite Element Method.”
*AIAA Journal*, v. 10, no. 12, pp. 1590-1599, 1972. *cited 69 times - Bhandari, D.R. and Oden, J.T. “A Variational Principle for Nonlinear Thermoviscoplasticity.”
*International Journal of Nonlinear Mechanics*, v. 7, pp. 489-501, 1972. - Oden, J.T. “A Generalization of the Finite Element Concept and its Application to a Class of Problems in Nonlinear Viscoelasticity.”
*Developments in Theoretical and Applied Mechanics*, v. 8, pp. 581-593, 1971. - Oden, J.T. and Brauchli, H.J. “On the Calculation of Consistent Stress Distributions in Finite Element Approximations.”
*International Journal for Numerical Methods in Engineering*, v. 3, pp. 317-325, 1971. - Oden, J.T. and Key, J.E. “On Some Generalizations of the Incremental Stiffness Relations for Finite Deformations of Compressible and Incompressible Finite Elements.”
*Nuclear Engineering and Design*, v. 15, pp. 121-134, 1971. - Oden, J.T. and Kelley, B.E. “Finite Element Formulation of General Electrothermoelasticity Problems.”
*International Journal for Numerical Methods in Engineering*, v. 3, pp. 161-179, 1971. - Brauchli, H.J. and Oden, J.T. “Conjugate Approximation Functions in Finite-Element Analysis.”
*Quarterly of Applied Mathematics*, v. 29, no. 3, pp. 65-90, 1971. - Oden, J.T. and Armstrong, W.H. “Analysis of Nonlinear, Dynamic Coupled Thermoviscoelasticity Problems by the Finite Element Method.”
*Computers and Structures*, v. 1, pp. 603-621, 1971. - Oden, J.T. and Brauchli, H.J. “Short Communications: a Note on Accuracy and Convergence of Finite Element Approximations.”
*International Journal of Numerical Methods in Engineering*, v. 3, pp. 291-294, 1971. - Oden, J.T. “A Finite-Element Analogue of the Navier-Stokes Equations.”
*Journal of the EM Division,*ASCE, v. 96, no. EM4, 1970. - Oden, J.T.; Rigsby, D.M.; and Cornett, D. “On the Numerical Solution of a Class of Problems in a Linear First Strain-Gradient Theory of Elasticity.”
*International Journal of Numerical Methods in Engineering*, v. II, pp. 159-174, 1970. - Oden, J.T. and Key, J.E. “Numerical Analysis of Finite Axisymmetric Deformations of Incompressible Elastic Solids of Revolutions.”
*International Journal of Solids and Structures*, v. 6, pp. 497-518, 1970. - Oden, J.T. “Note on an Approximate Method for Computing Nonconservative Generalized Forces on Finitely Deformed Finite Elements.”
*AIAA Journal*, v. 8, no. 11, pp. 2088-2090, 1970. - Oden, J.T. “Finite Element Approximations of a Class of Nonlinear Operators.”
*International Journal for Numerical Methods in Engineering*, v. 2, pp. 301-303, 1970. - Oden, J.T. and Childs, S.B. “Finite Deflections of a Nonlinearly Elastic Bar.”
*Journal of Applied Mechanics*, ASME, v. 1, 36, series E, no. 4, pp. 48-52, 1970. - Chung, T.J.; Oden, J.T.; Eidson, R.L.; Jenkins, J.F.; and Masters, AE. “Dynamic Elastoplastic Response of Geometrically Nonlinear Arbitrary Shells of Revolution Under Impulsive Mechanical and Thermal Loadings.”
*The**Shock and Vibration Bulletin*, no. 41, part 7, Naval Research Laboratory, Washington D.C., Office of the Director of Defense, Research and Engineering, pp. 81-88, 1970. - Oden, J.T. and Aguirre-Ramirez, G. “Formulation of General Discrete Models of Thermo-Mechanical Behavior of Materials with Memory.”
*International Journal of Solids and Structures*, v. 5, no. 10, pp. 1077-1093, 1969. - Oden, J.T. and Somogyi, D. “Finite-Element Applications in Fluid Dynamics.”
*Journal of the Engineering Mechanics Division*, ASCE, v. 95, no. EM3, pp. 821-826, June 1969. - Oden, J.T. “Finite-Element Analysis of Nonlinear Problems in the Dynamical Theory of Coupled Thermoelasticity.”
*Nuclear Engineering and Design*, North Holland Publishing Company, Amsterdam, The Netherlands, v. 10, pp. 465-475, 1969. - Oden, J.T. “A General Theory of Finite Elements, II: Applications.”
*International Journal for Numerical Methods in Engineering*, v. 1, pp. 247-259, 1969. - Oden, J.T. ‘’Finite Element Analysis of Nonlinear Structures’ by Mallett and Marcal. A Discussion.”
*Journal of Structural Division*, ASCE, v. 95, June 1969. - Oden, J.T. “A General Theory of Finite Elements, I: Topological Considerations.”
*International Journal for Numerical Methods in Engineering*, v. 1, pp. 205-221, 1969. - Oden, J.T. “Calculation of Stiffness Matrices for Finite Elements of Thin Shells of Arbitrary Shape.”
*AIAA Journal*, v. 6, no. 5, pp. 969-972, 1968. - Oden, J.T. “Finite Plane Strain of Incompressible Elastic Solids by the Finite Element Method.” the
*Aeronautical Quarterly*, v. XIX, pp. 254-264, August 1968. - Wempner, G. A.; Oden, J.T.; and Kross, D. A. “Finite Element Analysis of Thin Shells.”
*Journal of the Structural Division*, ASCE, v. 94, no. EM6, paper 6259, pp. 1273-1294, December 1968. - Oden, J.T. and Sato, T. “Structural Analysis of Aerodynamic Deceleration Systems by the Finite Element Method.”
*Advances in the Astronautical Sciences*, v. 24, Part III, 1967. - Oden, J.T. “Numerical Formulation of Nonlinear Elasticity Problems.”
*Journal of the Structural Division*, ASCE, v. 93, no. ST3, pp. 235-255, June 1967. - Oden, J.T. “Numerical Formulation of a Class of Problems in Nonlinear Viscoelasticity.”
*Advances in the Astronautical Sciences*, papers presented at the American Astronautical Society 1967 National Symposium, v. 24, Part III, June 1967. - Oden, J.T. “Linear and Nonlinear Analysis by Conjugate Analogy.”
*Journal of the Structural Division*, ASCE, no. ST4, pp. 27-45, 1967. - Oden, J.T. and Sato, T. “Finite Strains and Displacements of Elastic Membranes by the Finite Element Method.”
*International**Journal of Solids and Structures*, v. 3, pp. 471-488, 1967. - Oden, J.T. “Calculation of Geometric Stiffness Matrices for Complex Structures.”
*AIAA Journal*, v. 4, no. 8, pp. 1480-1482, August 1966. - Oden, J.T. “Bending of Corner-Supported Plates with Arbitrary Edge Conditions.”
*Recent Developments in Theoretical and Applied Mechanics*, McMillan Publisher, v. II, pp. 23-34, 1964. - Oden, J.T. “Matrix Division by George Kostro, a discussion.”
*Journal of the Engineering Mechanics Division*, ASCE, v. 89, no. EM5, pp. 107-108, October 1963. - Oden, J.T. “Deflection and Slope of Beams with Varying ‘I’ by Otakar Ondra, a discussion.”
*Journal of the Structural Division*, ASCE, v. 89, no. ST3, pp. 217-222, June 1963. - Oden, J.T. “Analysis of Plate Beam Structures.” Dissertation, University Microfilms, Ann Arbor, Michigan, 1963.
- Oden, J.T. “Structural Analysis by the String Polygon Method.” The
*Oklahoma State Engineer*, v. XXVII, no. 4, pp. 12-24, February 1962. - Tuma, J.J. and Oden, J.T. “String Polygon Analysis of Frames with Straight Members.”
*Journal of the Structural Division,*ASCE, v. 67, no. ST7, pp. 63, 1962. Also, in*Engineering Research Bulletin*, Oklahoma State University, Publication no. 123, March 1962.

*Citation data taken from Google Scholar, 2013.