Book Chapters

1. Ravi-Chandar, K.; Faghihi, D.; and Oden, J.T. “A System for Monitoring Damage in Composite Materials Using Statistical Calibrations and Bayesian Model Selection,” Data Driven Application Systems, F. Darema (Ed.), Springer, (submitted, January 2014).
2. Fuentes, D.; Oden, J.T.; Diller, K. R.; Yung, J.; Feng, Y.; Hazle, J. D.; Shetty, A.;  and Stafford, R. J. Stafford, “Computational and MR-guided Patient-Specific Laser Induced Thermal Therapy of Cancer”, Data Driven Application Systems, F. Darema (Ed.), Springer, (accepted, December 2013).
3. Prudhomme, S.; Bouclier, R.; Chamoin, L.; Ben Dhia, H.; and Oden, J.T. “Analysis of an averaging operator for Atomic-to-Continuum Coupling Methods by the Arlequin Approach,” In Numerical Analysis and Multiscale Computations, Lecture Notes in Computational Science and Engineering, edited by Bjorn Egquist, Olof Runborg, and Yen-His Richard Tsai, v. 82, pp. 365-396, 2012.
4. Fuentes, D.; Oden, J.T.; Diller, K.R.; Elliott, A.; Feng, Y.; Hazle, J.D.; Shetty, A.; and Stafford, R.J., “Computational and MR-guided Patient-Specific Laser Induced Thermal Therapy of Cancer,”  in Dynamic Data Driven Application Systems. Springer, 2009.
5. Oden, J.T.; Prudhomme, S.; Bauman, P.; and Chamoin, Ludovic. “Estimation and Control of Modeling Error: A General Approach to Multiscale Modeling”, in Bridging the Scales in Science and Engineering, Edited by Jacob Fish, Oxford University Press, Section 4, Chapter 10, 2009.
6. Diller, K.; Oden, J. T.; Bajaj, C.; Browne, J.C; Hazle, J.; Babuska, I.; Bass, J; Bidaut, L.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; Goswami, S.; Hawkins, A.; Khoshnevis, S.; Kwon, B.; Prudhomme, S.; and Stafford, R.J. “Computational Infrastructure for the Real-Time Patient-Specific Treatment of Cancer,” Chapter 9, in Advances in Numerical Heat Transfer, W.J. Minkowycz and E.M. Sparrow (Eds.), Taylor and Francis, v. 3, pp. 308-344, 2009.
7. Bajaj, C.; Oden, J.T.; Diller, K.R.: Browne, J.C.; Hazle, J.; Babuska, I.; Bass, J.; Bidaut, L.; Demkowicz, L.; Staffon, R.J.; and Zhang, Y., Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer,” ICCS 2007, Part I, LNCS 4487, pp. 972–979, 2007. Editors: Y. Shi et al., Springer-Verlag Berlin Heidelberg, 2007.
8. Oden, J.T. and Prudhomme, S. “Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems.” Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics, Lecture Notes in Computational Science and Engineering, edited by T. Barth and H Deconinck. v. 25, pp. 207-268, 2002.
9. Babuska, I. and Oden, J.T. “Computational Mechanics: Where is it going?” Mathematics Unlimited – 2001 and Beyond, Part I, edited by B. Engquist and W. Schmid, Springer-Verlag, pp. 23-28, 2001.
10. Oden, J. T. “Benchmarks”, in Verification and Validation in Computational Solid Mechanics, Edited by Hans Maier, ASME/USACM Standards, 2001.
11. Oden, J. T. “A Posteriori Error Estimation”, in Verification and Validation in Computational Solid Mechanics, Edited by Hans Maier, ASME/USACM Standards, 2001.
12. Oden, J.T. “Discontinuous Galerkin Methods in the Solution of the Convection Diffusion Equation.” Appendix B, v.3, of Finite Elements in Engineering, by O.C. Zienkiewicz and R. Taylor, Fifth Edition, Butterworths Publishing, London 2000.
13. Oden, J.T. and Vemaganti, Kumar. “Recent Advances in Adaptive Modelling of Heterogeneous Media.” Mathematics of Finite Elements and Applications X. (MAFELAP 1999 held in England). Edited by John Whiteman. Elsevier Publications, pp. 47-62, 2000.
14. Oden, J.T. and Baumann, Carlos. “A Conservative DGM for Convection-Diffusion and Navier-Stokes Problems”, Discontinuous Galerkin Methods: Theory, Compilation and Applications. Lecture Notes in Computational Science and Engineering, edited by B. Cockburn, G.E. Karniadakis, C.W. Shu. v. 11, pp. 179-196, 1999.
15. Oden, J.T. and Prudhomme, S. “A Technique for A Posteriori Error Estimation of h-p Approximations of the Stokes Equations”. Advances in Adaptive Computational Methods. Edited by P. Ladeveze and J.T. Oden. A compilation of papers from the Workshop of New Advances in Adaptive Methods in Mechanics, Cachan, France, 17-19 September 1997. (Series: Studies in Applied Mechanics 47), Elsevier Publications, pp. 43-64, 1998.
16. Oden, J.T. and Duarte, C.A. “Solution of Singular Problems Using hp Clouds.” The Mathematics of Finite Elements and Applications, edited by J.R. Whiteman, pp. 35-54, 1997
17. Patra, Abani and Oden, J.T. “Parallel Adaptive hp Finite Element Approximations for Stokesian Flows: Adaptive Strategies, Load Balancing and Domain Decomposition Solvers.” Parallel Computational Fluid Dynamics: Implementation and Results Using Parallel Computers. Edited by A. Ecer, J. Periaux, N. Satofuka and S. Taylor, Elsevier Science B.V., pp 505-512, 1995.
18. Legat, Vincent and Oden, J. T. “An Adaptive h-p Finite Element Methods for Incompressible Free Surface Flows of Generalized Newtonian Fluids.” Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Edited by J. Casey and M. J. Crochet. Zeitschrift fur angewandte Mathematik und Physik, v. 46, (ZAMP Special Issue – Paul Naghdi Anniversary Volume), Berkhauser Verlag Basel/Switzerland, pp. S643-S678, 1995.
19. Demkowicz, L. and Oden, J.T. “New Developments in Application of hp-Adaptive BE/FE Methods to Elastic Scattering.” Mathematics of Finite Elements and Applications (MAFELAP) VII. Edited by John Whiteman. John Wiley & Sons, Strasbourg, pp. 137-149, 1994.
20. Oden, J.T. “Error Estimation and Control in Computational Fluid Dynamics.” The Mathematics of Finite Elements and Applications, Highlights 1993. Edited by J. Whiteman, John Wiley & Sons, Second Zienkiewicz Lecture, chapter 1, pp. 1-23, 1994.
21. Demkowicz, L. and Oden, J.T. “Elastic Scattering Problems in Linear Acoustics Using an h-p Boundary/Finite Element Method.” Adaptive Finite and Boundary Element Methods. Edited by C.A. Brebbia and M.H. Aliabadi, chapter 8, pp. 281-319, 1993.
22. Oden, J.T. “Theory and Implementation of High-Order Adaptive hp-methods for the Analysis of Incompressible Viscous Flows.” Computational Nonlinear Mechanics in Aerospace Engineering. Edited by S.N. Atluri, AIAA Progress in Aeronautics and Astronautics series, chapter 9, pp. 321-363, 1992.
23. Lee, C.Y.; Oden, J.T.; and Ainsworth, M. “Local A Posteriori Error Estimators and Numerical Results for Contact Problems and Problems of Flow Through Porous Media.” Nonlinear Computational Mechanics — State of the Art. Edited by P. Wriggers and W. Wagner. Springer-Verlag, pp. 23-33, 1992.
24. Safjan, A. and Oden, J.T. h-p Adaptive Finite Element Methods in Transient Acoustics, in NCA – v. 12, Structural Acoustics. Edited by R.F. Keltie, A.F. Seybert, D.S. Kang, L. Olson, and P. Pinsky. Book No. H00718, pp. 93-99, 1991.
25. Oden, J.T.; Liszka, T.; and Wu, W. “An h-p Adaptive Finite Element Method for Incompressible Viscous Flows.” Mathematics of Finite Elements and Applications VII. (MAFELAP 1991) Edited by J. Whiteman, Academic Press Limited, pp. 13-54, 1991.
26. Oden, J.T. “Smart Algorithms and Adaptive Methods for compressible and incompressible Flow: Optimization of the Computational process.” Computation in the 21st Century, SIAM Publications, Philadelphia, PA, chapter 7, pp. 87-99, 1989.
27. Oden J.T. “Progress in Adaptive Methods in Computational Fluid Dynamics.” Adaptive Methods for Partial Differential Equations. Edited by J. Flaherty, P. Paslow, M.S. Shephard, and J.D. Vasilakis. SIAM Publications, pp. 205-252, 1989.
28. Oden, J.T. “Finite Elements: An introduction.” Handbook of Numerical Analysis. Edited by J.L. Lions and P.G. Ciarlet. North-Holland Publishing Company, Amsterdam, v. II, part 1, 1989.
29. Oden, J.T. Adaptive Finite Element Methods for Problems in Solid and Fluid Mechanics, Finite Elements: Theory and Application Overview. Edited by R. Voigt, Springer-Verlag, NY, chapter 12, pp. 268-291, 1988.
30. Oden, J.T. “Historical Comments on Finite Elements.” A History of Scientific and Numeric Computation. Edited by S.G. Nash. Addison-Wesley, Reading, chapter 1, pp. 1-19, 1989.
31. Oden, J.T. and Carey, G.F. “Variational Inequalities.” New Concepts in Finite Element Analysis, ASME Monograph AMD-44, edited by T.J.R. Hughes, D. Gartling, and R.L. Spilker, pp. 133-145, 1988.
32. Oden, J.T. and Demkowicz, L. “Advances in Adaptive Improvements: A Survey of Adaptive Finite Element Methods in Computational Mechanics.” State of the Art Surveys in Computational Mechanics. Edited by A.K. Noor. ASME, NY, 1988.
33. Oden, J.T.; Strouboulis, T.; and Devloo P. “Adaptive Finite Element Methods for Compressible Flow Problems.” Numerical Methods for Compressible Flows-Finite Difference, Element and Volume Techniques. AMD v. 78. Edited by T.E. Tezduyar and T.J.R. Hughes, ASME, NY, pp. 115-126, 1987.
34. Oden, J.T.; Strouboulis, T.; Devloo, P.; and Howe, M. “Recent Advances in Error Estimation and Adaptive Improvement of Finite Element Calculations.” Computational Mechanics Advances and Trends. AMD v. 75. Edited by A.K. Noor. ASME Publishers, New York, pp. 369-410, 1986.
35. Oden, J.T.; Demkowicz, L.; Devloo, P.; and Strouboulis, T. “Adaptive Methods for problems in Solid and Fluid Mechanics, “Accuracy Estimates and Adaptive Refinement in Finite Element Computation. Edited by I. Babuska, O.C. Zienkiewicz, J. Gago, Oliveira, and E.R. de Arantes Oliveira. John Wiley & Sons, Ltd., chapter 14, pp. 249-280, 1986.
36. Martins, J.A.C. and Oden, J.T. “Interface Models, Variational Principles and Numerical Solutions for Dynamic Friction Problems.” Mechanics of Material Interfaces. Edited by A.P.S. Selvadurai and G.Z. Voyiadjis. Elsevier Science Publishers B.V., Amsterdam, pp. 3-23, 1986.
37. Demkowicz, L.; Oden, J.T.; Strouboulis, T.; and Campos, L. “Variational Principles and Adaptive Schemes for a Class of Flow Problems with Moving Boundaries.” Finite Elements in Flow Problems, v.VI, John Wiley & Sons, N.Y., 1985.
38. Demkowicz, L.; Oden, J.T.; and Strouboulis, T. “An Adaptive p-Version Finite Element Method for Transient Flow Problems with Moving Boundaries.” Finite Elements in Fluids. Volume VI. Edited by R.H. Gallagher, G.F. Carey, J.T. Oden and O.C. Zienkiewicz. John Wiley & Sons, Ltd., Chichester, chapter 15, pp. 291-305, 1985.
39. Oden, J.T.; Becker, Eric; Lin, T.L.; and Demkowicz, L. “Formulation and Finite Element Analysis of a General Class of Rolling Contact Problems with Finite Elastic Deformations.” Mathematics of Finite Elements with Applications, v. V, Academic Press, Ltd., 1984.
40. Oden, J.T.; Demkowicz, L.; and Strouboulis, T. “Adaptive Methods for Incompressible Viscous Flow Problems with Moving Boundaries.” Accuracy Estimates and Adaptivity for Finite Elements I, edited by I. Babuska, O.C. Zienkiewicz, and E. Arantes e Oliveira, University of Lisbon, 1984.
41. Oden, J.T. and Pires, E.B. “On the Signorini Problem with Non-local Friction.” Numerical Methods in Coupled Systems. Edited by R.W. Lewis, P. Bettess, and E. Hinton. John Wiley and Sons, Ltd., chapter 7, pp. 217-229, 1984.
42. Oden, J. T. and Jacquotte, O. “Stable and Unstable Rip/Perturbed Lagrangian Methods for Two-Dimensional Viscous Flow Problems.” Finite Elements in Fluids, v. 5. Edited by R.H. Gallagher, J.T. Oden, O.C. Zienkiewicz, T. Kawai, and M. Kawahara. John Wiley & Sons Limited, chapter 5, pp. 127-146, 1984.
43. Oden, J.T. “Mixed Finite Element Approximations via Interior and Exterior Penalties for Contact Problems in Elasticity.” Hybrid and Mixed Finite Element Methods. Edited by S.N. Atluri, R.H. Gallagher, and O.C. Zienkiewicz. John Wiley & Sons, Ltd., chapter 24, 1983.
44. Oden, J.T. “RIP – Methods for Stokesian Flows.” Finite Elements in Fluids, v. 4. Edited by R.H. Gallagher, N. Norrie, J.T. Oden and O.C. Zienkiewicz. John Wiley & Sons, Ltd., London, chapter 15, pp. 305-318, 1982.
45. Oden, J.T. “Penalty-Finite Element Approximations of Unilateral Problems in Elasticity.” Approximation Theory III. Edited by G. Lorenz. Academic Press, NY, v. III, pp. 693-697, 1980.
46. Oden, J.T. “The Classical Variational Principles of Mechanics.” Energy Methods in Finite Element Analysis. Chapter 1, pp. 1-31, 1979.
47. Oden, J.T. and Kikuchi, N. “Finite Element Methods for Certain Free Boundary-Problems in Mechanics.” Moving Boundary Problmes, Academic Press, pp. 147-164, 1978.
48. Oden, J.T. “Finite Element Methods for a Class of Nonlinear Boundary-Value Problems in Finite Elasticity.” Third Conference on the Mathematics of Finite Elements and Applications, (MAFELAP 1978), held in Brunel University, Uxbridge, UK on April 18-21, 1978, paper 27, pp. 327-339, 1978.
49. Oden, J.T. “On the Approximation of Problems in Nonlinear Elastostatics, Finite Elasticity — AMD, v.27, edited by R.S. Rivlin, ASME, pp. 65-75, 1977.
50. Oden, J.T. and Lee, J.K. “Theory and Application of Dual Mixed-Hybrid Finite Element Methods to Two-Dimensional Potential Flow Problems.” in Finite Elements in Flow Problems, v. 3, chapter 7, pp. 123-143, 1977.
51. Oden, J.T. “Hybrid Finite Element Methods”, Symposium on Approximation Theory, Edited by E. Lorenz, Academic Press, NY, v. 2, pp. 485-490, 1976.
52. Oden, J.T. and Wellford Jr., L.C. “Discontinuous Finite Element Approximations for the Analysis of Acceleration Waves in Elastic Solids”, Mathematics of Finite Elements with Applications, Edited by John Whiteman, Academic Press, Ltd., London, chapter 21, 1976.
53. Oden, J.T. and Lee, J.K. “Dual-Mixed Hybrid Finite Element Method for Second-Order Elliptic Problems”, Lecture Notes in Mathematics, Springer-Verlag, Berlin, pp. 275-291, 1975.
54. Oden, J.T. and Wellford Jr., L.C. “Discontinuous Finite Element Approximations for the Analysis of Acceleration Waves in Elastic Solids”, Mathematics of Finite Elements with Applications, (MAFELAP 75), Brunel University, Uxbridge, England, Academic Press, London, 1975.
55. Oden, J.T. and Lee, J.K. “Theory of Mixed and Hybrid Finite Element Approximations in Linear Elasticity.” Lecture Notes in Mathematics: Applications of Methods of Functional Analysis to Problems in Mathematics. Edited by A. Dold and B. Eckmann. Papers presented at the IUTAM/IUM Symposium on Applications of Methods of Functional Analysis to Problems of Mechanics held in Marseille, France, September 1975, v. 503, pp. 90-109, 1975.
56. Oden, J.T. “Mathematical Aspects of Finite-Element Approximations in Continuum Mechanics.” Mechanics Today, v. 2, chapter 3, pp. 159-250, 1974.
57. Wellford Jr., LC. and Oden, J.T. “Accuracy and Convergence of Finite Element/Galerkin Approximations of Time-Dependent Problems with Emphasis on Diffusion and Convection.” Finite Element Analysis of Flow Problems. Edited by O.C. Zienkiewicz, R.H. Gallagher, J.T. Oden and C. Taylor. Huntsville Press, Huntsville, 1974.
58. Oden, J.T. “Formulation and Application of Certain Primal and Mixed Finite Element Models of Finite Deformations of Elastic Bodies.” Computing Methods in Applied Sciences and Engineering, Part 1, ed. R. Glowinski and J.L. Lions, v. 19, Springer-Verlag, Heidelberg, pp. 334-365, 1974.
59. Oden, J.T. “Finite Element Applications in Mathematical Physics.” Mathematics of Finite Elements with Applications, edited by J.R. Whiteman, Academic Press, NY, pp. 239-282, 1973.
60. Chung, T.J.; Oden, J.T.; and Wu, S.T. “The Finite Element Analysis of Transient Rarefied Gas Flow.” The Finite Methods in Flow Problems, edited by J.T. Oden, O.C. Zienkiewicz, R.H. Gallagher, and C. Taylor, UAH Press, Huntsville, chapter 1, pp. 1-15, 1973.
61. Oden, J.T. “Some Contributions to the Mathematical Theory of Mixed Finite Element Approximations.” Theory and Practice in Finite Element Structural Analysis, Tokyo Press, Tokyo, pp. 3-23, 1973.
62. Oden, J.T. “Approximations and Numerical Analysis of Finite Deformations of Elastic Solids.” Nonlinear Elasticity. Edited by W. Dickey, Academic Press, NY, pp. 175-228, 1973.
63. Oden, J.T. “Generalized Conjugate Functions for Mixed Finite Element Approximations of Boundary Value Problems.” The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, pp. 629-669, 1972.
64. Oden, J.T. “The Finite Element Method in Fluid Mechanics.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 5, pp. 151-186, 1972.
65. Oden, J.T. “Finite Element Approximations in Nonlinear Elasticity.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 4, pp. 121-150, 1972.
66. Oden, J.T. “Finite Element Approximations in Nonlinear Thermoviscoelasticity.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 3, pp. 77-120, 1972.
67. Oden, J.T. “Theory of Conjugate Projections in Finite Element Analysis.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 2, pp. 41-76, 1972.
68. Oden, J.T. “Variational Principles in Nonlinear Continuum Mechanics.” Variational Methods in Engineering, v. II, Chapter 2, edited by C.A. Brebbia, Southampton University Press, Southampton, UK, pp. 2/1-2/21, 1972.
69. Oden, J.T. “Finite Element Formulation of Nonlinear Boundary-Value Problems.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 6, pp. 287-208, 1972.
70. Oden, J.T. “The Finite Element Method in Fluid Mechanics.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 5, pp. 151-186, 1972.
71. Oden, J.T. “Finite Element Approximations in Nonlinear Elasticity.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 4, pp. 121-150, 1972.
72. Oden, J.T. “Finite Element Approximations in Nonlinear Thermoviscoelasticity.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Introduction of an averaging operator for atomic-to-continuum coupling methods by the Arlequin approach Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 3, pp. 77-120, 1972.
73. Oden, J.T. “Theory of Conjugate Projections in Finite Element Analysis.” Finite Element Methods in Continuum Mechanics, A Collection of Lectures, delivered at the Advanced Study Institute held at Laboratorio Nacional de Engenharia Civil in Lisbon Portugal in September 1971, sponsored by the Scientific Affairs Division for the North Atlantic Treaty Organization. Edited by J.T. Oden and E.R.A. Oliveira, the University of Alabama at Huntsville Press, Huntsville AL, chapter 2, pp. 41-76, 1972.
74. Oden, J.T. “Variational Principles in Nonlinear Continuum Mechanics.” Variational Methods in Engineering, v. II, Chapter 2, edited by C.A. Brebbia, Southampton University Press, Southampton, UK, pp. 2/1-2/21, 1972.