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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
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., & 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., 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
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
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
