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Ben Dhia, H., Chamoin, L., Oden, J. T., & Prudhomme, S. (2011). A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations. Computer Methods in Applied Mechanics and Engineering, 200(37), 2675-2696. External link
Bauman, P. T., Oden, J. T., & Prudhomme, S. (2009). Adaptive multiscale modeling of polymeric materials with Arlequin coupling and goals algorithms. Computer Methods in Applied Mechanics and Engineering, 198(5), 799-818. External link
Bauman, P. T., Ben Dhia, H., Elkhodja, N., Oden, J. T., & Prudhomme, S. (2008). On the application of the Arlequin method to the coupling of particle and continuum models. Computational Mechanics, 42(4), 511-530. External link
Bajaj, C., Oden, J. T., Diller, K. R., Browne, J. C., Hazle, J., Babuška, I., Bass, J., Bidaut, L., Demkowicz, L., Elliott, A., Feng, Y., Fuentes, D., Kwon, B., Prudhomme, S., Stafford, R. J., & Zhang, Y. (2007, May). Using cyber-infrastructure for dynamic data driven laser treatment of cancer [Paper]. 7th International conference on Computational Science (ICCS 2007), Beijing, China. External link
Chamoin, L., Oden, J. T., & Prudhomme, S. (2008). A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations. Computer Methods in Applied Mechanics and Engineering, 197(43), 3530-3546. External link
Fuentes, D., Littlefield, D., Oden, J. T., & Prudhomme, S. (2006). 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, 195(37-40), 4659-4680. External link
Fuentes, D., Littlefield, D., Oden, J. T., & Prudhomme, S. (2005, September). Error control in finite element approximations of nonlinear problems in mechanics [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Unavailable
Guermond, J.-L., Oden, J. T., & Prudhomme, S. (2004). Mathematical perspectives on large eddy simulation models for turbulent flows. Journal of Mathematical Fluid Mechanics, 6(2), 194-248. External link
Oden, J. T., & Prudhomme, S. (2011). Control of modeling error in calibration and validation processes for predictive stochastic models. International Journal for Numerical Methods in Engineering, 87(1‐5), 262-272. External link
Oden, J. T., Prudhomme, S., & Seleson, P. (2011, October). Coupling methods for multiscale simulations and adaptive modeling [Paper]. Applied Mathematics Program Meeting 2011, Washington, D.C.. External link
Oden, J. T., Hawkins, A., & Prudhomme, S. (2010). General diffuse-interface theories and an approach to predictive tumor growth modeling. Mathematical Models and Methods in Applied Sciences, 20(03), 477-517. External link
Oden, J. T., Prudhomme, S., Bauman, P. T., & Chamoin, L. (2009). Estimation and control of modeling error: A general approach to multi-scale modeling. In Bridging the Scales in Science and Engineering (pp. 285-304). External link
Oden, J. T., Diller, K. R., Bajaj, C., Browne, J. C., Hazle, J., Babuška, I., Bass, J., Demkowicz, L., Feng, Y., Fuentes, D., Prudhomme, S., Rylander, M. N., Stafford, R. J., & Zhang, Y. (2006, May). Development of a computational paradigm for laser treatment of cancer [Paper]. 6th International Conference on Computational Science (ICCS 2006), Reading, UK. External link
Oden, J. T., Prudhomme, S., & Demkowicz, L. (2005). A posteriori error estimation for acoustic wave propagation problems. Archives of Computational Methods in Engineering, 12(4), 343-389. External link
Oden, J. T., Browne, J. C., Babuška, I., Bajaj, C., Demkowicz, L. F., Gray, L., Bass, J., Feng, Y., Prudhomme, S., & Nobile, F. (2004, June). A dynamic data driven computational infrastructure for reliable computer simulations [Paper]. 4th International Conference on Computational Science (ICCS 2004), Krakow, Poland. External link
Oden, J. T., Prudhomme, S., Westermann, T., Bass, J., & Botkin, M. E. (2003). Error estimation of Eigenfrequencies for elasticity and shell problems. Mathematical Models and Methods in Applied Sciences, 13(03), 323-344. External link
Oden, J. T., & Prudhomme, S. (2002). Estimation of modeling error in computational mechanics. Journal of Computational Physics, 182(2), 496-515. External link
Oden, J. T., Prudhomme, S., Hammerand, D. C., & Kuczma, M. S. (2001). Modeling error and adaptivity in nonlinear continuum mechanics. Computer Methods in Applied Mechanics and Engineering, 190(49-50), 6663-6684. External link
Oden, J. T., & Prudhomme, S. (2001, June). Progress on practical methods of error estimation for engineering calculations [Paper]. European Conference on Computational Mechanics (ECCM 2001), Cracow, Poland (11 pages). Unavailable
Oden, J. T., & Prudhomme, S. (1998, January). New approaches to error estimation and adaptivity for the Stokes and Oseen equations [Paper]. 10th International Conference on Finite Elements in Fluids, Tucson, Arizona. Published in International Journal for Numerical Methods in Fluids, 31(1). External link
Oden, J. T., Feng, Y., & Prudhomme, S. (1998). Local and pollution error estimation for Stokesian flows. International Journal for Numerical Methods in Fluids, 27(1-4), 33-39. External link
Oden, J. T., & Prudhomme, S. (1997, September). A technique for a posteriori error estimation of h-p approximations of the Stokes equations [Paper]. 3rd Workshop on Advances in Adaptive Computational Methods in Mechanics, Cachan, France. External link
Prudhomme, S., Bouclier, R., Chamoin, L., Dhia, H. B., & Oden, J. T. (2009, December). Analysis of an averaging operator for atomic-to-continuum coupling methods by the Arlequin approach [Paper]. Workshop on Numerical Analysis and Multiscale Computations, Banff, Alberta. External link
Prudhomme, S., Dhia, H. B., Bauman, P. T., Elkhodja, N., & Oden, J. T. (2008). Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method. Computer Methods in Applied Mechanics and Engineering, 197(41), 3399-3409. External link
Prudhomme, S., Oden, J. T., Bauman, P. T., Chamoin, L., & Ben Dhia, H. (2008, June). Estimation of modeling errors for a coupling method [Paper]. 8th World Congress on Computational Mechanics (WCCM8), Venice, Italy. Unavailable
Prudhomme, S., Bauman, P. T., & Oden, J. T. (2006). Error control for molecular statics problems. International Journal for Multiscale Computational Engineering, 4(5-6), 647-662. External link
Prudhomme, S., Oden, J. T., & Romkes, A. (2004, September). Modeling error estimation and adaptivity for multi-scale problems [Paper]. 6th World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, Beijing, China. Unavailable
Prudhomme, S., & Oden, J. T. (2003). Computable error estimators and adaptive techniques for fluid flow problems. In Barth, T. J., & Deconinck, H. (eds.), Error estimation and adaptive discretization methods in computational fluid dynamics (Vol. 25, pp. 207-268). External link
Prudhomme, S., & Oden, J. T. (2003). Estimation des erreurs de discrétisation pour des problèmes de mécanique. Revue Européenne des Éléments Finis, 12(6), 665-689. External link
Prudhomme, S., Oden, J. T., Westermann, T., Bass, J., & Botkin, M. E. (2003). Practical methods for a posteriori error estimation in engineering applications. International Journal for Numerical Methods in Engineering, 56(8), 1193-1224. External link
Prudhomme, S., Pascal, F., Oden, J. T., & Romkes, A. (2001). A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method. [Estimation d'erreur a priori pour la version Baumann-Oden de la méthode Galerkin discontinue]. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 332(9), 851-856. External link
Prudhomme, S., & Oden, J. T. (2001, June). Simple techniques to improve the reliability of a posteriori error estimates for finite element approximations [Paper]. European Conference on Computational Mechanics (ECCM 2001), Cracow, Poland (15 pages). Unavailable
Prudhomme, S., & Oden, J. T. (1999). A posteriori error estimation and error control for finite element approximations of the time-dependent Navier-Stokes equations. Finite Elements in Analysis and Design, 33(4), 247-262. External link
Romkes, A., Prudhomme, S., & Oden, J. T. (2006). Convergence analysis of a discontinuous finite element formulation based on second order derivatives. Computer Methods in Applied Mechanics and Engineering, 195(25-28), 3461-3482. External link
Romkes, A., Prudhomme, S., & Oden, J. T. (2003). A posteriori error estimation for a new stabilized discontinuous Galerkin method. Applied Mathematics Letters, 16(4), 447-452. External link
