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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
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., 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 (285-304). 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., 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., & 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
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. (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., & 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., 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. (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
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 Internation al 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