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Guermond, J. L., Oden, J. T., & Prudhomme, S. (2003). An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization. Physica D: Nonlinear Phenomena, 177(1), 23-30. External link
Hawkins, A. J., Prudhomme, S., van der Zee, K. G., & Oden, J. T. (2013). Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth. Journal of Mathematical Biology, 67(6-7), 1457-1485. External link
Oden, J. T., Diller, K. R., Bajaj, C., Browne, J. C., Hazle, J., Babuska, I., Bass, J., Biduat, L., Demkowicz, L., Elliott, A., Feng, Y., Fuentes, D., Prudhomme, S., Rylander, M. N., Stafford, R. J., & Zhang, Y. (2007). Dynamic data-driven finite element models for laser treatment of cancer. Numerical Methods for Partial Differential Equations, 23(4), 904-922. External link
Oden, J. T., Prudhomme, S., & Bauman, P. (2005). On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models. Computer Methods in Applied Mechanics and Engineering, 194(34), 3668-3688. External link
Oden, J. T., & Prudhomme, S. (2001). Goal-oriented error estimation and adaptivity for the finite element method. Computers & Mathematics With Applications, 41(5-6), 735-756. External link
Prudhomme, S., Oden, J. T., Chamoin, L., & Ben Dhia, H. (2011, June). Adaptive modeling and simulation for coupling methods [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2011), Paris, France. Unavailable
Prudhomme, S., Chamoin, L., Ben Dhia, H., Bauman, P. T., & Oden, J. T. (2009, May). Adaptive multiscale simulations for complex molecular structures [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2009), Bruxelles, Belgium. Unavailable
Prudhomme, S., Bauman, P. T., Ben Dhia, H., Elkhodja, N., & Oden, J. T. (2007, October). On an adaptive approach for atomistic-to-continuum coupling methods [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2007), Göteborg, Sweden. Unavailable
Prudhomme, S., Bauman, P., & Oden, J. T. (2005, September). Control of molecular statics simulations based on goal-oriented adaptivity [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Unavailable
Prudhomme, S., Bauman, P., & Oden, J. T. (2005, September). Error control of finite element approximations of nonlinear problems in mechanics [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Unavailable
Prudhomme, S., Nobile, F., Chamoin, L., & Oden, J. T. (2004). Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems. Numerical Methods for Partial Differential Equations, 20(2), 165-192. External link
Prudhomme, S., Oden, J. T., Romkes, A., & Carey, G. F. (2002, July). Computable error estimators for discontinuous Galerkin methods [Paper]. SIAM 50th Anniversary and 2002 Annual Meeting (SIAM 50), Philadelphia, PA, USA. Unavailable
Prudhomme, S., & Oden, J. T. (2002). Numerical stability and error analysis for the incompressible Navier-Stokes equations. Communications in Numerical Methods in Engineering, 18(11), 779-787. External link
Prudhomme, S., & Oden, J. T. (2002, July). A posteriori estimation of modeling and approximation errors [Paper]. 5th World Congress on Computational Mechanics, Vienna, Austria. Unavailable
Prudhomme, S., & Oden, J. T. (1999). On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors. Computer Methods in Applied Mechanics and Engineering, 176(1-4), 313-331. External link
Prudhomme, S., & Oden, J. T. (1997, August). Adaptive control of the error in direct numerical approximations of the transient Navier-Stokes equations [Paper]. 1st AFOSR International Conference on DNS/LES, Ruston, Louisiana, USA. Unavailable
Romkes, A., Prudhomme, S., & Oden, J. T. (2003). A priori error analyses of a stabilized discontinuous Galerkin method. Computers & Mathematics With Applications, 46(8), 1289-1311. External link