THE UNIVERSITY OF TEXAS AT AUSTIN



Oden Publications

Starting in 2000

Refereed Journal Publications

1. 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.

2. Duarte, C.A.; Babuska, I.; and Oden, J.T. “Generalized Finite Element Methods for Three Dimensional Structural Mechanics Problems.” Computers and Structures, volume 77, pp. 215-232, 2000.

3. Oden, J.T. and Prudhomme, S. “Goal-Oriented Error Estimation and Adaptivity for the Finite Element Method.” Computers & Mathematics with Applications, volume 41, no. 5-6, pp. 735-756, 2001.

4. 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.

5. 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.

6. Oden, J.T. “What's New at TICAM?”, Expressions, No. 10, pp. 8-13, January 2001.

7. Oden, J.T.; Prudhomme, S.; Hammerand, D. C.; and Kuczma, Mieczyslaw S. “Modeling Error and Adaptivity in Nonlinear Continuum Mechanics, Computer Methods in Applied Mechanics and Engineering, v. 190, pp. 6663-6684, 2001.

8. 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.

9. Vemaganti, K. 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.

10. Deb, M.K.; Babuska, I. 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.

11. 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.

12. Oden, J.T. and Prudhomme, S. “Estimation of Modeling Error in Computational Mechanics,” Journal of Computational Physics, vol. 182, pp. 496-515, 2002.

13. 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.

14. 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, volume 43, pp. 399-421, 2002.

15. 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.

16. Oden, J.T.; Belytschko, T.; Babuska, I.; and Hughes, T.J.R. “Research Directions in Computational Mechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 192, pp. 913-922, 2003.

17. Prudhomme, S.; Oden, J.T.; Westermann, Tim; Bass, Jon; and Botkin, Mark E. “Practical Methods for a posteriori error estimation in engineering applications.” International Journal for Numerical Methods in Engineering, volume, volume 56, pp. 1193-1224, 2003.

18. 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.

19. 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.

20. Oden, J.T.; Prudhomme, S.; Westermann, Tim; Bass, Jon; and Botkin, Mark 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.

21. 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.

22. 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.

23. 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.

24. 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.

25. Babuska, I. and Oden, Tinsley, “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.

26. 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.

27. Oden, J.T.; Babuska, I.; Nobile, F.; Feng, Y.S.; 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.

28. 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.

29. 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.

30. 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, vol. 195, pp. 4659-4680, 2006.

31. 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.

32. 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.

33. 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.

34. 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.

35. Oden, J.T.; Diller, K.; Bajaj, C.; Browne, J.C.; Hazle, J.; Babuska, I.; Bass, J.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; 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.

36. Oden, J.T., “Historical Comments on Finite Elements”, originally published as “A History of Scientific Computing,” Edited by S.G. Nash, pp. 128-152,1990 by Association for Computing Machinery, Inc. reprinted by permission by Society for Industrial and Applied Mathematics, 2007.

37. Feng, Y.S., Oden, J.T., and Rylander, M. N., “A Statistical Thermodynamics Based Model for Cell Damage and its Validation in Vitro,” Journal of Biomedical Engineering, vol. 130, pp. 1-10, 2008.

38. Feng, Y.S.; 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

39. 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: ,.

40. 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 N. Zabaras, v. 197, issues 43-44, pages 3530-3546, 2008.

41. Feng, Y.S., 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.

42. 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.

43. Oden, J.T.; Fuentes, D.; Bass, Jon; and Feng, Y.S. “Dynamic-data-driven systems aid patient-specific cancer therapy”, published online: 6 October 2008, online , SPIE Newsroom 10.1117/2.1200810.1220, 2008.

44. 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.

45. Feng, Y., Fuentes, D., Hawkins, A., Bass, J., and Rylander, M. N. “Model-based optimization and real-time control for laser treatment of heterogeneous soft tissues,” Computer Methods in Applied Mechanics and Engineering, Special Issue: Advances in Simulation-Based Engineering Sciences, special issue honoring Prof. Oden, J.T., v.198, no. 21-26, pp. 1742-1750, 2009.

46. 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:

47. Feng, Y.S.; Fuentes, D.; Stafford, R. Jason; 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 .

48. 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.

49. 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, published online: , March 2010.

50. Oden, J.T. “Finite element methods. “ Scholarpedia, vol. 5 (5):9836, 2010. Also, online at: .

51. 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.

52. Almeida, Regina 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.

53. 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.

54. Oden, J.T.; Moser, R.; and Ghattas, O. “Computer Predictions with Quantification Uncertainty, Part I”, SIAM News, v. 43, no. 9-10, November, 2010.

55. Oden, J.T.; Moser, R.; and Ghattas, O. “Computer Predictions with Quantification Uncertainty, Part II”, SIAM News, v. 43, no. 9-10, December 14, 2010.

56. 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, January 2011.

57. Oden, J.T. and Prudhomme, S., “Control of Modeling Error in Calibration and Validation Processes for Predictive Stochastic Models”, International Journal for Numerical Methods in Engineering, 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, v. 87, Issue: 1-5, pp. 262-272, August 2011.

58. 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, v. 200, Issue: 37-40 pp. 2675-2696, September 2011.

59. Hawkins-Daarud, A.; Oden, J.T.; and van der Zee, K.G., "Numerical Simulation of a Thermodynamically-Consistent Four-Species Tumor Growth Model,” International Journal for Numerical Methods of Biomedical Engineering, v. 28, no. 1, pp 3-24, 2012.

60. 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, online: , (in press, 2012).

61. Oden, J.T., Prudencio, E.E., and Hawkins-Daarud, A., “Selection and Assessment of Phenomenological Models of Tumor Growth.” Mathematical Models and Methods in Applied Sciences, online: (in press, 2012).

Conference Proceedings

1. Oden, J.T. and Prudhomme, S. “A Goal-Oriented Adapted Approach to Enhance Local Structures in Numerical Flows.” Proceedings of the Finite Elements in Flow Problems 2000 Conference, held at The University of Texas at Austin, April 30 – May 4, 2000 in Austin, TX.

2. Prudhomme, S. and Oden, J.T. “A posteriori Error Estimation in Fluid Mechanics.” Proceedings of the Finite Elements in Flow Problems 2000 Conference, held at The University of Texas at Austin, April 30 – May 4, 2000 in Austin, TX.

3. McLay, R.; Prudhomme, S.; Carey, G.F.; and Oden, J.T. “A Platform for Testing Error Indicators in Hypervelocity Impact Problems.” Proceedings the Finite Elements in Flow Problems 2000 Conference, held at The University of Texas at Austin, April 30 – May 4, 2000 in Austin, TX.

4. Oden, J.T.; Rodin, G.; Vemaganti, K.; and Fu, Y.S., “Adaptive modeling of heterogeneous materials: Theory, fast summation methods and applications,” Proceedings of the ICTAM 2000 Conference, Chicago, IL, August 27 – September 2, 2000.

5. Oden, J.T.; Prudhomme, S.; and Littlefield, D., “A Posteriori Error Estimation for Highly Nonlinear Impact Problems,” Proceedings of the ICTAM 2000 Conference, Chicago, IL, August 27 – September 2, 2000.

6. Littlefield, D.; Oden, J.T., and Carey, G.F. “Adaptive Mesh Refinement in CTH: Implementation of Block-Adaptive Multi-Material Refinement and Advection Algorithms.” Presented DoD High Performance Computing Modernization Program Users Group Conference 2000 held June 5-8, 2000 in Albuquerque, NM.

7. Littlefield, D. L.; Oden, J.T.; Prudhomme, S., “A Posteriori Error Estimation in highly nonlinear Impact Problems”, Proceedings of the IUTAM Congress, Chicago, Illinois, August 27-September 2, 2000.

8. Oden, J.T.; Prudhomme, S.; Westermann, T.; and Bass, J., “Progress On Practical Methods Of Error Estimation For Engineering Calculations”, Proceedings of the ECCM 2001: Second European Conference on Computational Mechanics, Cracow, Poland, June 26-29, 2001.

9. Prudhomme, S. And Oden, J.T., “Simple Techniques To Improve The Reliability Of A Posteriori Error Estimates For Finite Element Approximations,” Proceedings of the ECCM 2001: Second European Conference on Computational Mechanics in Cracow, Poland, June 26-29, 2001.

10. Prudhomme, S.; Oden, J.T.; Romkes, A.; and Carey, G. F., “On A Posteriori Error Estimator for the Discontinuous Galerkin Methods,” Proceedings of the DOD HPCMP UGC2001 to be held in Biloxi, Mississippi, June 18-21, 2001 (to be published on the web).

11. Oden, J.T.; Prudhomme, S.; Botkin, M.E.; Bass, J.; and Westermann, T., “Goal-Oriented Error Estimation And Adaptation For Industrial Applications,” Proceedings of the Sixth U.S. National Congress on Computational Mechanics in Dearborn, Michigan August 1-3, 2001.

12. Oden, J.T.; Vemaganti, K. S.; and Romkes, A., “Adaptive modeling of Heterogeneous Materials: A Goal-Oriented Approach to the Problem of Model Selection.” Proceedings of the Sixth U.S. National Congress on Computational Mechanics in Dearborn, Michigan August 1-3, 2001.

13. Prudhomme, S.; Oden, J.T.; Romkes, A.; and Pascal, F., “A Priori And A Posteriori Error Estimation For A Discontinuous Galerkin Finite Element Approximations,” Proceedings of the Sixth U.S. National Congress on Computational Mechanics, Dearborn, MI, August 1-3, 2001.

14. Oden, J.T. and Prudhomme, S., “Verification Of Simulations Using A Posteriori Error Estimation,” Proceedings of the Sixth U.S. National Congress on Computational Mechanics, Dearborn, MI, August 1-3, 2001.

15. Oden, J.T. and Prudhomme, S. “Adaptive Modeling in Computational Solid Mechanics”, Proceedings of the Guanajuato 2002 II Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas, Edited by E. Oñate, F. Zarate, G. Ayala, S. Botello and M.A. Moreles, CIMNE, Barcelona, v. 1, pp. 1-7, 2002.

16. Oden, J.T. “A Posteriori Estimation of Modeling and Approximation Error in Computational Science and Engineering: New Tools for Verification and Validation of Computer Simulations,” in Proceedings of the WCCM V, Fifth World Congress on Computational Mechanics, held July 7–12, 2002 in Vienna, Austria. Eds.: H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner. (to appear)

17. Oden, J.T; Prudhomme, S.; and Romkes, A. “Recent Developments in a Posteriori Error Estimation for Discontinuous Galerkin Methods,” in Proceedings of the WCCM V, Fifth World Congress on Computational Mechanics, held July 7–12, 2002 in Vienna, Austria. Eds.: H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner. (to appear)

18. Nobile, F.; Babuska, I.; Feng, Y.; Oden, J.; Prudhomme, S,; Tempone, R. “Validation and Verification in Solid Mechanics,” presented at ADMOS 2003, Goteborg, Sweden, Sept. 29-Oct. 1, 2003.

19. Babuska, I.I.; Nobile, F.; Oden, J.T.; and Tempone, R. “Reliability, Uncertainty, Estimates, Validation and Verification” in the Proceedings of the workshop on Elements of Predictability, held at John Hopkins University, in Baltimore, MD, November 13-14, 2003

20. Oden, J.T.; Browne, J.C.; Babuska, I.; Bajaj, C.; Demkowicz, L.F.; Gray, L.; Bass, J.; Feng, Y.S.; Prudhomme, S.; Nobile, F.; and Tempone, R. “A Dynamic Data Driven Infrastructure for Reliable Computer Simulations”, Proceedings of the Computational Science - ICCS 2004 Conference, Marian Bubak, G. Dick Van Albada, Peter M.A. Sloot, and Jack Dongarra (Eds.), Springer-Verlag, 2004.

21. Oden, J.T. and Babuska, I. “A Computational Strategy for Verification and Validation in Computational Mechanics. Part 1: The Deterministic Case”, Proceedings of the Seventh U.S. National Congress on Computational Mechanics held July 27-31, 2003, published on CD, 2004.

22. Fuentes, D.; Littlefield, D.; Oden, J.T.; and Prudhomme, S. “Error Control in Finite Element Approximations of Nonlinear Problems in Mechanics.” Adaptive Modeling and Simulation 2005, P. Diez and N.-E. Wiberg, Proceedings of the Second International Conference on Adaptive Modeling and Simulation, Barcelona, Spain, 8-10 September 2005, pp. 157-160, 2005.

23. Prudhomme, S.; Bauman, P.; and Oden, J.T. “Control of Molecular Statics Simulations Based on Goal-Oriented Adaptivity.” Adaptive Modeling and Simulation 2005, P. Diez and N.-E. Wiberg, Proceedings of the Second International Conference on Adaptive Modeling and Simulation, Barcelona, Spain, 8-10 September 2005, pp. 115-118, 2005.

24. Feng, Y.; Rylander, M.N.; Bass, J.; Oden, J.T.; Diller, K. “Optimal Design of Laser Surgery for Cancer Treatment Through Nanoparticle-Mediated Hyperthermia Therapy.” Paper presented at BioNano 2005 Conference, held in Anaheim, CA, May 8-12, 2005, NSTI Nanotech 2006-Technical Proceedings, v. 1, pp. 39-42, 2006.

25. Oden, J.T.; Diller, K.R.; Bajaj, C.; Browne, J.C; Hazle, J.; Babuska, I.; Bass, J.; Demkowicz, L.; Feng, Y.S.; Fuentes, D.; Prudhomme, S.; Rylander, M.N.; Stafford, and Zhang, Y. “Development of a Computational Paradigm for Laser Treatment of Cancer,” Proceedings of the ICCS Conference on Advancing Science through Computation at the University of Reading, UK, May 28-31, 2006. Edited by V.N. Alexandrov, et.al., Lecture Notes in Computer Science, v. 3993, pp. 530-537, 2006.

26. Oden, J.T. “A Dynamic Data-Driven System for Laser Treatment of Cancer,” presentation given at the SC06 Conference, Tampa, Florida, November 11-17, 2006.

27. Oden, J.T.; Prudhomme, S.; Bauman, P.T.; and Bass, J.M., “Adaptive Multi-Scale Modeling: Goals Algorithms for Adaptive Error Control” 17th US Army Symposium on Solid Mechanics, April 3-5, 2007.

28. Prudhomme, S., Bauman, P., Ben Dhia, Hachmi; Elkhodja, Nadia; and Oden, J.T, “Adaptive Modeling for Atomistic-to-Continuum Coupling Methods, Invited presentation given at Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach-Walke, Germany, June 10-16, 2007, Report No. 29/2007 Adaptive Numerical Methods for PDEs, organized by Rolf Rannacher, Endre Suli, and Rudiger Verfurth.

29. Prudhomme, S., Bauman, P., Ben Dhia, Hachmi; Elkhodja, Nadia; and Oden, J.T. “On an Adaptive Approach for Atomistic-to Continuum Coupling Methods, presented at International Conference on Adaptive Modeling and Simulation (ADMOS) 2007, CIMNE, Barcelona, Spain.

30. Bauman, P.T.; Bass, J.; Oden, J.T.; and Prudhomme, S., “Adaptive multiscale modeling of polymers with Arlequin coupling,” Presented at the Ninth U.S. National Congress on Computational Mechanics, San Francisco, California, July 23-26, 2007.

31. Bajaj, C.; Oden, J.T.; Diller, K.; Browne, J.C.; Hazle, J.; Babuska, I.; Bass, J.; Bidaut, L.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; Kwon, B.; Prudhomme, S.; Stafford, R.J. and Zhang, Y. “Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer,” Proceedings of the 7th International Conference on Computational Science, held in Beijing, China, May 27-30, 2007, Lecture Notes in Computer Science, vol. 4487, pp. 972-979, 2007.

32. Feng, Y.S.; Fuentes, D.; Hawkins, A.; Oden, J.T., "MRTI-Based Optimization and Real-Time Laser Surgical Control for Cancer Treatment Using Fast Inverse Analysis Techniques," Proceedings of the 2008 International Conference on BioMedical Engineering and Informatics, BMEI, pp. 168-172, 2008.

33. Oden, J.T.; Hawkins, A.; and Prudhomme, S. “Mixed Finite Element Methods for Predictive Phase-Field Models of Tumor Growth,” Proceedings of MAFELAP 2009. 2009.

Books (Authored/Co-Authored)

1. Ainsworth, M. and Oden, J.T. A Posteriori Error Analysis in Finite Element Analysis, A Wiley InterScience Publication, John Wiley & Sons, Inc., 2000.

2. Oden, J.T. Finite Elements of Nonlinear Continua, reprint, Dover Publications, Inc. Mineola, NY, 2006.

3. Oden, J.T. and Demkowicz, L.F. Applied Functional Analysis, Second Edition. CRC Press, 2010.

4. Oden, J.T. and Reddy, J.N. An introduction to the Mathematical Theory of Finite Elements, reprint, Dover Press, 2011.

5. Oden, J.T., An Introduction to Mathematical Modeling: A Course in Mechanics. John Wiley and Sons, Hoboken, NY, November 2011.

Books (Edited, Co-Edited)

1. Prudhomme, S. and Oden, J.T., Special Issue on Modeling error estimation and adaptive modeling in computational mechanics, Computer Methods In Applied Mechanics And Engineering, v. 200, Issue: 37-40, September 2011.

Book Chapters

1. Oden, J.T. and Vemaganti, K. “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.

2. 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.

3. Oden, J.T. “A Posteriori Error Estimation”, in Verification and Validation in Computational Solid Mechanics, Edited by Hans Maier, ASME/USACM Standards, 2001.

4. Oden, J.T. “Benchmarks”, in Verification and Validation in Computational Solid Mechanics, Edited by Hans Maier, ASME/USACM Standards, 2001.

5. 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.

6. 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.

7. Oden, J.T.; Browne, J.C.; Babuska, I.; Bajaj, C.; Demkowicz, L.F.; Gray, L.; Bass, J.; Feng, Y.S.; Prudhomme, S.; Nobile, F.; and Tempone, R. “A Computational Infrastructure for Reliable Computer Simulations”, F. Darema (Ed.), Data Driven Application Systems, Kluwer Academic Publishers, Netherlands, 2004.

8. 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.

9. 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, vol. 3, pp. 308-344, 2009.

10. 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 J. Fish, Oxford University Press, Section 4, Chapter 10, 2009.

11. Prudhomme, Serge; 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, September 2011.

12. 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, edited by Bjorn Engquist, Olof Runborg, and Yen-His Richard Tsai, Lecture Notes in Computational Science and Engineering, v. 82, pp. 365-396, 2012.

Other Publications

1. “Applied Functional Analysis,” a book review in SIAM Review, Volume 43, No.2, pp. 398-399, 2001.

2. Oden, J.T. “Terascale Computing: the Nemesis or the Grail of Computational Engineering and Science?,” reprinted in Mathematics Today, v. 37, no. 6, pp. 164-166, December 2001 (Reprint of talk presented ECCOMAS CFD 2001 in Swansea September 4-7, 2001.)

3. Oden, J.T., “The Promise of Computational Sciences: Will it be kept?”, reprint of acceptance speech for the Honoris Causa degree presented in Cracow Poland, Expressions. Bulletin of the International Association of Computational Mechanics, number 12, pp. 12-14, 2002.

4. Oden, J.T., “ OCZ”, a poem honoring O.C. Zienkiewicz, which was presented at ECCOMAS CFD 2001 in Swansea September 4-7, 2001, quoted in article by K. Morgan and N.P. Weatherill, “Conference Debrief: ECCOMAS CFD 2001”, IACM Expressions, no. 12, pp. 36-37, 2002.

Technical Reports

1. Oden, J.T. and Vemaganti, K. “Adaptive Modeling of Composite Structures: Modeling Error Estimation (First Edition).” TICAM Report 2000-01. Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, January 2000.

2. Oden, J.T., “Lecture Notes: Advanced Theory of Finite Elements - An Introduction to the Mathematical Foundations of the Finite Element Method.” in TICAM Report 2000-012. The University of Texas at Austin. May 2000.

1. Oden, J.T. And M. S. Kuczma. “Estimation Of Modeling Error And Goal-Oriented Adaptive Modeling For Plastic Flow Problems.” TICAM Report 00-21, The University Of Texas At Austin, Austin, Texas, September 2000.

2. Deb, M.K.; Babuska, I.M.; And Oden, J.T. “Solution Of Stochastic Partial Differential Equations (Spdes) Using Galerkin Method And Finite Element Techniques.” TICAM Report 00-23, The University Of Texas At Austin, Austin, Texas, September 2000.

3. Oden, J.T.; Prudhomme, S.; Hammerand, D. C.; and Kuczma, Mieczyslaw S. “First Edition: Theory of Global Estimation of Modeling Error,” TICAM Report 2000-024. The University of Texas at Austin. October 2000.

4. Vemaganti, K. S. 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, in TICAM Report 2000-026. The University of Texas at Austin. October 2000.

5. Prudhomme, S.; Pascal, F.; Oden, J.T.; and Romkes, A. “Review of A Priori Error Estimation for Discontinuous Galerkin Methods,” in TICAM Report 2000-027. The University of Texas at Austin. October 2000.

6. Oden, J.T.; Prudhomme, S.; Hammerand, D.C.; and Kuczma, M.S. “Modeling Error and Adaptivity in Nonlinear Continuum Mechanics,” Sandia Technical Report, SAND2001-0132, Sandia National Laboratories, Albuquerque, NM, February 2001

7. Prudhomme, S.; Oden, J.T.; Westermann, T.; Bass, J.; And Botkin, M.E. “Practical Methods For A Posteriori Error Estimation In Engineering Applications.” TICAM Report 2001-13, The University Of Texas At Austin, Austin, Texas, May 2001.

8. Littlefield, D. L., Oden, J.T. and Carey, G. F., “Adaptive mesh refinement in CTH: Implementation of block-adaptive multi-material refinement and advection algorithms, ERDC MSRC Technical Report No. 01-24, 2001.

9. Hammerand, D.C.; Key, S.W.; Oden, J.T.; Babuska, I.; Rodin, I.; Bajaj, C.; Prudhomme, S.; and Vemaganti, K. “Structural Simulations Using Multi-resolution Material Models,” Sandia Technical Report, SAND2001- 3610, Sandia National Laboratories, Albuquerque, NM, November 2001.

10. Oden, J.T. and Prudhomme, S. “Adaptive Modeling in Computational Mechanics,” TICAM Report 02-05, The University of Texas at Austin, Austin, Texas, January 2002.

11. Prudhomme, S. and Oden, J.T. “Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems,” in TICAM Report 02-07, The University of Texas at Austin, Austin, Texas, January 2002.

12. Guermond, J.L; Oden, J.T.; and Prudhomme, S. “Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows,” TICAM Report 02-22, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, June 2002.

13. Romkes, A.; Prudhomme, S.; and Oden, J.T. “A Priori Error Analyses of a Stabilized Discontinuous Galerkin Method.” TICAM Report 02-28, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, July 2002.

14. Romkes, A.; Prudhomme, S.; and Oden, J.T. “A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method.” TICAM Report 02-31, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, August 2002.

15. Prudhomme, S.; Nobile, F.; Chamoin, L.; and Oden, J.T. “Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems.” TICAM Report 02-34, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, October 2002.

16. Romkes, A. and Oden, J.T. “Adaptive Modeling of Wave Propagation in Heterogeneous Elastic Solids.” TICAM Report 3-26, Institute for Computational Engineering and Sciences, The University of Texas at Austin, June 2003.

17. Babuska, I.; Oden, J.T.; Liechti, K.; Browne, K.; Demkowicz, L.; Feng, Y.; Nobile, F.; Tempone, R.; and Hosatte, P. “Reliability of Computer Predictions in Computational Solid Mechanics: Towards the Estimation and Control of Errors Due to Modeling, Discretization, and Uncertainty”, ICES Report 03-44, The University of Texas at Austin, Austin, Texas, September 2003.

18. Babuska, I. and Oden, J.T., “V & V in Computational Engineering and Science. Part I: Basic Concepts”, ICES Report 03-52, The University of Texas at Austin, Austin, Texas, December 2003.

19. Babuska, I.; Nobile, F.; Oden, J.T.; and Tempone, R. “Reliability, Uncertainty Estimates, Validation and Verification”, ICES Report04-05, The University of Texas at Austin, Austin, Texas, February 2004.

20. Oden, J.T.; Browne, J.C.; Babuska, I.M.; Liechti, K.; Feng, Y.S.; Bass, J.M.; Hosatte, P.; Mahmood, N.; Demkowicz, L.F.; Prudhomme, S.; Nobile, F.; and Tempone, R. “A Computational Infrastructure for Reliable Computer Simulations,” ICES Report 04-06, The University of Texas at Austin, Austin, Texas, February 2004.

21. Oden, J.T.; Prudhomme, S., and Demkowicz, L., “A Posteriori Error Estimation for Acoustic Wave Propagation Problems,” ICES Report 04-32, The University of Texas at Austin, Austin, Texas, June 2004.

22. Oden, J.T. and Littlefield, D., “New Tools for Verification of Computational Models for DoD CSM Applications”, Final Project Report, Contract no. N62306-01-D-7110, Task Order No. 0043, Project ID: CSM-03-003. PET Program, Department of Defense.

23. Oden, J.T., Prudhomme, S. and Bauman, P., "On the Extension of Goal-Oriented Error Estimation and Hierarchical Modeling to Discrete Lattice Models", ICES Report 04-37, The University of Texas at Austin, Austin, Texas, August 2004.

24. Chamoin, L.; Oden, J.T.; and Prudhomme, S. “A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations," ICES Report 08-02, The University of Texas at Austin, Institute for Computational Engineering and Sciences, Austin, Texas, February 2008.

25. Bauman, P. T.; Oden, J.T.; and Prudhomme, S. "Adaptive Multiscale Modeling of Polymeric Materials with Arlequin Coupling and Goals Algorithms," ICES Report 08-17, The University of Texas at Austin, Institute for Computational Engineering and Sciences, Austin, Texas, June 2008.

26. 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," ICES Report 08-18, The University of Texas at Austin, Institute for Computational Engineering and Sciences, Austin, Texas, June ‘08.

27. Hawkins, A. and Oden, J.T. “Toward a predictive model of tumor growth.” ICES Report 08-29, The University of Texas at Austin, Institute for Computational Engineering and Sciences, Austin, Texas, November 2008.

28. Oden, J.T.; Hawkins, A.; and Prudhomme, S. “Toward a predictive model of tumor growth: A General 10Diffuse-Interface Continuum Theory of Mixtures for Tumor Growth and a Bayesian Approach to Model Validation and Uncertainty Quantification. “ICES Report 09-18, The University of Texas at Austin, Institute for Computational Engineering and Sciences, Austin, Texas, August 2009.

29. Van der Zee, K. G.; Oden, J.T.; Prudhomme, S.; and Hawkins, Andrea J. “Goal-Oriented Error Estimation for Cahn-Hilliard Models of Binary Phase Transition,” ICES REPORT 10-19, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, May 2010.

30. Almeida, Regina C. and Oden, J.T. "Solution Verification, Goal-Oriented Adaptive Methods for Stochastic Advection-Diffusion Problems, “ ICES REPORT 10-22, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, June 2010.

31. Oden, Tinsley; Moser, Robert; and Ghattas, Omar. “Computer Predictions with Quantified Uncertainty”, ICES Report 10-39, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, October 2010.

32. 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”, ICES Report 10-44, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, November, 2010.

33. Ben Dhia, H.; Chamoin, L.; Oden, J.T.; and Prudhomme, S. “A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations”, ICES Report 10-49, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, November 2010.

34. Hawkins-Daarud, A.; van der Zee, K.G.; and Oden, J.T., "Numerical Simulation of a Thermodynamically-Consistent Four-Species Tumor Growth Model", ICES Report 11-26, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, July 2011.

35. Bauman, P.T.; Oden, J.T.; Prudencio, E. E.; Prudhomme, S.; and Ravi-Chandar, K. "Dynamic Data Driven Application Systems for Monitoring Damage in Composite Materials Under Dynamic Loads", ICES Report 12-37, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, August 2012.

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