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Serge PrudhommeDépartement de mathématiques et de génie industriel
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Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Multi-level neural networks for accurate solutions of boundary-value problems. Computer Methods in Applied Mechanics and Engineering, 419, 116666 (23 pages). Lien externe
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Operator approximation of the wave equation based on deep learning of Green's function. Computers & Mathematics with Applications, 159, 21-30. Lien externe
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2022). Optimal error analysis of the spectral element method for the 2D homogeneous wave equation. Computers & Mathematics With Applications, 119, 241-256. Lien externe
Boone, E., Hannig, J., Ghanam, R., Ghosh, S., Ruggeri, F., & Prudhomme, S. (2022). Model Validation of a Single Degree-of-Freedom Oscillator: A Case Study. Stats, 5(4), 1195-1211. Lien externe
Bryant, C. M., Prudhomme, S., & Wildey, T. (2015). Error decomposition and adaptivity for response surface approximations from PDEs with parametric uncertainty. SIAM/ASA Journal on Uncertainty Quantification, 3(1), 1020-1045. Lien externe
Brummelen, E. H., van der Zee, K. G., Garg, V. V., & Prudhomme, S. (2012). Flux evaluation in primal and dual boundary coupled problems. Journal of Applied Mechanics, 79(1). Lien externe
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. Lien externe
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. Lien externe
Babuška, I., Stafford, R., Bass, J., Diller, K., Bajaj, C., Goswami, S., Demkowicz, L., Hazle, J., Bidaut, L., Kwon, B., Prudhomme, S., Khoshnevis, S., Browne, J., Feng, Y., Oden, J., Fuentes, D., Hawkins, A., & Elliott, A. (2009). Computational infrastructure for the real-time patient-specific treatment of cancer. Dans Minkowycz, W. J. (édit.), Advances in numerical heat transfer (Vol. 3, p. 307-344). Lien externe
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. Lien externe
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. (mai 2007). Using cyber-infrastructure for dynamic data driven laser treatment of cancer [Communication écrite]. 7th International conference on Computational Science (ICCS 2007), Beijing, China. Lien externe
Cheung, S. H., Oliver, T. A., Prudencio, E. E., Prudhomme, S., & Moser, R. D. (2011). Bayesian uncertainty analysis with applications to turbulence modeling. Reliability Engineering & System Safety, 96(9), 1137-1149. Lien externe
Chamoin, L., Prudhomme, S., Ben Dhia, H., & Oden, T. (2010). Ghost forces and spurious effects in atomic‐to‐continuum coupling methods by the Arlequin approach. International Journal for Numerical Methods in Engineering, 83(8‐9), 1081-1113. Lien externe
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. Lien externe
Diehl, P., & Prudhomme, S. (2022). Coupling Approaches for Classical Linear Elasticity and Bond-Based Peridynamic Models. Journal of Peridynamics and Nonlocal Modeling, 4(3), 336-366. Lien externe
Diehl, P., Prudhomme, S., & Seleson, P. (2020). Workshop on Experimental and Computational Fracture Mechanics 2020. (Rapport technique n° ORNL/TM-2020/1714). Lien externe
Diehl, P., Prudhomme, S., & Lévesque, M. (2019). A Review of Benchmark Experiments for the Validation of Peridynamics Models. Journal of Peridynamics and Nonlocal Modeling, 1(1), 14-35. Lien externe
Darrigrand, V., Rodriguez-Rozas, A., Muga, I., Pardo, D., Romkes, A., & Prudhomme, S. (2018). Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation. International Journal for Numerical Methods in Engineering, 113(1), 22-42. Lien externe
Diehl, P., Prudhomme, S., & Lévesque, M. (janvier 2018). A review for benchmark experiments against peridynamic models [Présentation]. Dans Nonlocal Methods in Fracture, Austin, USA. Non disponible
Darrigrand, V., Pardo, D., Rodríguez-Rozas, Á., Muga, I., Romkes, A., & Prudhomme, S. (juin 2017). Unconventional error representations for goal oriented p-adaptivity and its applications [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2017), Verbania, Italy. Non disponible
Devaraj, V., Lopez, L. F., Beaman, J. J., & Prudhomme, S. (2015). Model-Based Control of a Continuous Coating Line for Proton Exchange Membrane Fuel Cell Electrode Assembly. International Journal of Chemical Engineering, 2015, 1-11. Disponible
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. Lien externe
Fuentes, D., Littlefield, D., Oden, J. T., & Prudhomme, S. (septembre 2005). Error control in finite element approximations of nonlinear problems in mechanics [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Non disponible
Garg, V. V., & Prudhomme, S. (2019). Enhanced functional evaluation for the finite element penalty method. Computers and Mathematics with Applications, 78(12), 3821-3840. Lien externe
Garg, V. V., Prudhomme, S., van der Zee, K. G., & Carey, G. F. (2014). Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems. Advanced Modeling and Simulation in Engineering Sciences, 1(1), 15 (29 pages). Disponible
Guermond, J. ‐L., & Prudhomme, S. (2008). A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. Numerical Methods for Partial Differential Equations, 24(3), 759-775. Lien externe
Guermond, J.-L., & Prudhomme, S. (2006). Issues for a mathematical definition of LES. Dans Numerical Mathematics and Advanced Applications (p. 796-804). Lien externe
Guermond, J.-L., & Prudhomme, S. (septembre 2006). A reinterpretation of the non-linear Galerkin method as a large eddy simulation technique [Communication écrite]. European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2006), Egmond aan Zee, The Netherlands. Lien externe
Guermond, J.-L., & Prudhomme, S. (2005). On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation. Physica D: Nonlinear Phenomena, 207(1-2), 64-78. Lien externe
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. Lien externe
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. Lien externe
Guermond, J.-L., & Prudhomme, S. (2003). Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. ESAIM: Mathematical Modelling and Numerical Analysis, 37(06), 893-908. Lien externe
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. Lien externe
Jin, H., & Prudhomme, S. (1998). A posteriori error estimation of steady-state finite element solutions of the Navier-Stokes equations by a subdomain residual method. Computer Methods in Applied Mechanics and Engineering, 159(1-2), 19-48. Lien externe
Kheradmand, E., Laforest, M., & Prudhomme, S. (2022). A mathematical framework for the analysis and comparison of contact detection methods for ellipses and ellipsoids. Computational Particle Mechanics, 9(6), 1153-1203. Lien externe
Kheradmand, E., Prudhomme, S., & Laforest, M. (2021). A fast contact detection method for ellipsoidal particles. International Journal for Numerical and Analytical Methods in Geomechanics, 45(9), 1169-1194. Lien externe
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (mai 2019). Adaptive reduced-order modeling using a goal-oriented pgd approach [Communication écrite]. International Conference on Adaptive Modeling and Simulation, El Campello, Spain (1 page). Non disponible
Kergrene, K., Chamoin, L., Laforest, M., & Prudhomme, S. (2019). On a Goal-Oriented Version of the Proper Generalized Decomposition Method. Journal of Scientific Computing, 81(1), 92-111. Lien externe
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2017). Approximation of constrained problems using the PGD method with application to pure Neumann problems. Computer Methods in Applied Mechanics and Engineering, 317, 507-525. Lien externe
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2017). A new goal-oriented formulation of the finite element method. Computer Methods in Applied Mechanics and Engineering, 327, 256-276. Lien externe
Laberge, G., Shirzad, S., Diehl, P., Kaiser, H., Prudhomme, S., & Lemoine, A. (novembre 2019). Scheduling Optimization of Parallel Linear Algebra Algorithms Using Supervised Learning [Communication écrite]. IEEE/ACM Workshop on Machine Learning in High Performance Computing Environments (MLHPC 2019), Denver, CO, USA. Lien externe
Mozolevski, I., & Prudhomme, S. (2015). Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems. Computer Methods in Applied Mechanics and Engineering, 288, 127-145. Lien externe
Miki, K., Panesi, M., & Prudhomme, S. (2015). Systematic validation of non-equilibrium thermochemical models using Bayesian inference. Journal of Computational Physics, 298, 125-144. Lien externe
Morrison, R. E., Bryant, C. M., Terejanu, G., Prudhomme, S., & Miki, K. (2013). Data partition methodology for validation of predictive models. Computers & Mathematics With Applications, 66(10), 2114-2125. Lien externe
Miki, K., Panesi, M., Prudencio, E., & Prudhomme, S. (2012). Estimation of the nitrogen ionization reaction rate using EAST data and Bayesian model analysis. Physics of Plasma, 19(2), 16 pages. Lien externe
Miki, K., Panesi, M., Prudencio, E. E., Prudhomme, S., & Schulz, K. (juin 2011). Systematic validation of non-equilibrium thermochemical models using Bayesian approach [Communication écrite]. 42nd AIAA Thermophysics Conference, Honolulu, HA (18 pages). Lien externe
Miki, K., Panesi, M., Prudencio, E., Maurente, A., Cheung, S. H., Jagodzinski, J., Goldstein, D., Prudhomme, S., Schulz, K., & Simmons, C. (janvier 2010). On the (in) validation of a thermochemical model with east shock tube radiation measurements [Communication écrite]. 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL. Lien externe
Miki, K., Panesi, M., Prudencio, E., & Prudhomme, S. (juin 2010). Toward the validation of thermochemical models with EAST shock tube radiation measurements [Communication écrite]. CTR Summer Program 2010, Stanford University, Palo Alto, CA, United States. Lien externe
Nader, N., Diehl, P., D'Elia, M., Glusa, C., & Prudhomme, S. (2024). Machine learning-based identification of the interface regions for coupling local and nonlocal models. Journal of Machine Learning for Modeling and Computing, 5(3), 2024053706 (29 pages). Lien externe
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. Lien externe
Oden, J. T., Prudhomme, S., & Seleson, P. (octobre 2011). Coupling methods for multiscale simulations and adaptive modeling [Communication écrite]. Applied Mathematics Program Meeting 2011, Washington, D.C.. Lien externe
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. Lien externe
Oden, J. T., Prudhomme, S., Bauman, P. T., & Chamoin, L. (2009). Estimation and control of modeling error: A general approach to multi-scale modeling. Dans Bridging the Scales in Science and Engineering (p. 285-304). Lien externe
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. Lien externe
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. (mai 2006). Development of a computational paradigm for laser treatment of cancer [Communication écrite]. 6th International Conference on Computational Science (ICCS 2006), Reading, UK. Lien externe
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. Lien externe
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. Lien externe
Oden, J. T., Browne, J. C., Babuška, I., Bajaj, C., Demkowicz, L. F., Gray, L., Bass, J., Feng, Y., Prudhomme, S., & Nobile, F. (juin 2004). A dynamic data driven computational infrastructure for reliable computer simulations [Communication écrite]. 4th International Conference on Computational Science (ICCS 2004), Krakow, Poland. Lien externe
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. Lien externe
Oden, J. T., & Prudhomme, S. (2002). Estimation of modeling error in computational mechanics. Journal of Computational Physics, 182(2), 496-515. Lien externe
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. Lien externe
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. Lien externe
Oden, J. T., & Prudhomme, S. (juin 2001). Progress on practical methods of error estimation for engineering calculations [Communication écrite]. European Conference on Computational Mechanics (ECCM 2001), Cracow, Poland (11 pages). Non disponible
Oden, J. T., & Prudhomme, S. (janvier 1998). New approaches to error estimation and adaptivity for the Stokes and Oseen equations [Communication écrite]. 10th International Conference on Finite Elements in Fluids, Tucson, Arizona. Publié dans International Journal for Numerical Methods in Fluids, 31(1). Lien externe
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. Lien externe
Oden, J. T., & Prudhomme, S. (septembre 1997). A technique for a posteriori error estimation of h-p approximations of the Stokes equations [Communication écrite]. 3rd Workshop on Advances in Adaptive Computational Methods in Mechanics, Cachan, France. Lien externe
Prudhomme, S., Guignard, D., Kergrene, K., & Vacher, J. (juin 2023). Goal-Oriented Mesh Adaptation based on Optimization Approaches [Résumé]. XI International Conference on Adaptive Modeling and Simulation (ADMOS 2023), Gothenburg, Sweden (1 page). Lien externe
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2023). Optimal design of validation experiments for the prediction of quantities of interest. Computer Methods in Applied Mechanics and Engineering, 414, 27 pages. Lien externe
Prudhomme, S., Guignard, D., Darrigrand, V., Kergrene, K., Vacher, J., & Iannuzzi, V. (juin 2021). Computational Analysis of Goal-Oriented Adaptive Strategies based on Several Error Representations [Présentation]. Dans 10th International Conference on Adaptative Modeling and Simulation (ADMOS 2021), Gothenburg, Sweden. Lien externe
Prudhomme, S., & Diehl, P. (2020). On the treatment of boundary conditions for bond-based peridynamic models. Computer Methods in Applied Mechanics and Engineering, 372, 113391 (23 pages). Lien externe
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (septembre 2019). Topology Optimization of Lattices by Adaptative Processes [Communication écrite]. 2nd International Conference on Simulation for Additive Manufacturing (SIM-AM 2019), Pavia, Italy (1 page). Non disponible
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (octobre 2017). Design of unstructured lattices by an adaptive topology optimization process [Communication écrite]. Simulation for Additive Manufacturing (Sinam 2017), Munich, Germany. Non disponible
Prudhomme, S., & Bryant, C. M. (2015). Adaptive surrogate modeling for response surface approximations with application to bayesian inference. Advanced Modeling and Simulation in Engineering Sciences, 2(1), 22. Disponible
Prudhomme, S. (juin 2015). Adaptive response surface approximation method for bayesian inference [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2015), Nantes, France. Non disponible
Prudhomme, S. (juillet 2015). Adaptive surrogate modeling for bayesian parameter estimation of RANS models [Communication écrite]. 13th U.S. National Congress on Computational Mechanics, San Diego, California. Lien externe
Prudhomme, S. (juillet 2015). Goal-oriented error estimation in computational sciences and engineering [Communication écrite]. 13th U.S. National Congress on Computational Mechanics, San Diego, California. Lien externe
Prudhomme, S. (2015). A Posteriori Error Estimates of Quantities of Interest. Dans Engquist, B. (édit.), Encyclopedia of Applied and Computational Mathematics (5 pages). Lien externe
Prudhomme, S. (octobre 2013). Adaptive modeling for coupling methods [Communication écrite]. 38th Woudschoten Conference, Zeist, The Netherlands. Lien externe
Prudhomme, S., Zee, K. , & Dedè, L. (juin 2013). Analysis of linearization error for goal-oriented adaptivity of nonlinear problems [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2013), Lisbon, Portugal. Non disponible
Prudhomme, S. (octobre 2013). An introduction to goal-oriented error estimation [Communication écrite]. 38th Woudschoten Conference, Zeist, The Netherlands. Lien externe
Prudhomme, S. (juillet 2012). On data splitting for model validation [Communication écrite]. Joint Statistical Meeting, San Diego, California. Lien externe
Panesi, M., Miki, K., Prudhomme, S., & Brandis, A. (2012). On the assessment of a Bayesian validation methodology for data reduction models relevant to shock tube experiments. Computer Methods in Applied Mechanics and Engineering, 213-216, 383-398. Lien externe
Prudhomme, S., Oden, J. T., Chamoin, L., & Ben Dhia, H. (juin 2011). Adaptive modeling and simulation for coupling methods [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2011), Paris, France. Non disponible
Panesi, M., Miki, K., Schulz, K., Prudencio, E., & Prudhomme, S. (juin 2011). Calibration of rates parameters for multi-temperature models using Bayesian formulation [Communication écrite]. 42nd AIAA Thermophysics Conference, Honolulu, Hawaii. Lien externe
Prudhomme, S., & Tinsley Oden, J. (novembre 2010). Review of error estimation and adaptive methods for verification of numerical simulations [Communication écrite]. American Nuclear Sociery Winter Meeting, Las Vegas, Nevada. Publié dans Transactions of the American Nuclear Society, 103. Lien externe
Prudhomme, S., Chamoin, L., Ben Dhia, H., Bauman, P. T., & Oden, J. T. (mai 2009). Adaptive multiscale simulations for complex molecular structures [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2009), Bruxelles, Belgium. Non disponible
Prudhomme, S., Chamoin, L., Ben Dhia, H., & Bauman, P. T. (2009). An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations. Computer Methods in Applied Mechanics and Engineering, 198(21-26), 1887-1901. Lien externe
Prudhomme, S., Bouclier, R., Chamoin, L., Dhia, H. B., & Oden, J. T. (décembre 2009). Analysis of an averaging operator for atomic-to-continuum coupling methods by the Arlequin approach [Communication écrite]. Workshop on Numerical Analysis and Multiscale Computations, Banff, Alberta. Lien externe
Prudhomme, S. (octobre 2009). Modeling and numerical simulation of tumor growth [Communication écrite]. AMS Fall Central Section Meeting, Baylor University, Waco, Texas. Non disponible
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. Lien externe
Prudhomme, S. (octobre 2008). A coupling method for molecular and continuum models with random input data based on the stochastic collocation approach [Communication écrite]. DOE Applied Mathematics Program Meeting, Argonne, Illinois. Non disponible
Prudhomme, S., Oden, J. T., Bauman, P. T., Chamoin, L., & Ben Dhia, H. (juin 2008). Estimation of modeling errors for a coupling method [Communication écrite]. 8th World Congress on Computational Mechanics (WCCM8), Venice, Italy. Non disponible
Prudhomme, S. (octobre 2008). On a stochastic approach for atomic-to-continuum coupling methods [Communication écrite]. 4th International Conference on Multiscale Materials Modeling, Tallahassee, Florida. Lien externe
Prudhomme, S., Bauman, P. T., Ben Dhia, H., Elkhodja, N., & Oden, J. T. (octobre 2007). On an adaptive approach for atomistic-to-continuum coupling methods [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2007), Göteborg, Sweden. Non disponible
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. Lien externe
Prudhomme, S., Bauman, P., & Oden, J. T. (septembre 2005). Control of molecular statics simulations based on goal-oriented adaptivity [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Non disponible
Prudhomme, S., Bauman, P., & Oden, J. T. (septembre 2005). Error control of finite element approximations of nonlinear problems in mechanics [Communication écrite]. International Conference on Adaptive Modeling and Simulation (ADMOS 2005), Barcelona, Spain. Non disponible
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. Lien externe
Prudhomme, S., Oden, J. T., & Romkes, A. (septembre 2004). Modeling error estimation and adaptivity for multi-scale problems [Communication écrite]. 6th World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, Beijing, China. Non disponible
Prudhomme, S., & Oden, J. T. (2003). Computable error estimators and adaptive techniques for fluid flow problems. Dans Barth, T. J., & Deconinck, H. (édit.), Error estimation and adaptive discretization methods in computational fluid dynamics (Vol. 25, p. 207-268). Lien externe
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. Lien externe
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. Lien externe
Prudhomme, S., Oden, J. T., Romkes, A., & Carey, G. F. (juillet 2002). Computable error estimators for discontinuous Galerkin methods [Communication écrite]. SIAM 50th Anniversary and 2002 Annual Meeting (SIAM 50), Philadelphia, PA, USA. Non disponible
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. Lien externe
Prudhomme, S., & Oden, J. T. (juillet 2002). A posteriori estimation of modeling and approximation errors [Communication écrite]. 5th World Congress on Computational Mechanics, Vienna, Austria. Non disponible
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. Lien externe
Prudhomme, S., & Oden, J. T. (juin 2001). Simple techniques to improve the reliability of a posteriori error estimates for finite element approximations [Communication écrite]. European Conference on Computational Mechanics (ECCM 2001), Cracow, Poland (15 pages). Non disponible
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. Lien externe
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. Lien externe
Prudhomme, S., & Oden, J. T. (août 1997). Adaptive control of the error in direct numerical approximations of the transient Navier-Stokes equations [Communication écrite]. 1st AFOSR International Conference on DNS/LES, Ruston, Louisiana, USA. Non disponible
Prudhomme, S., & Haj-Hariri, H. (1994). Investigation of supersonic underexpanded jets using adaptive unstructured finite elements. Finite Elements in Analysis and Design, 17(1), 21-40. Lien externe
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. Lien externe
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. Lien externe
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. Lien externe
Saad, B. M., Alexanderian, A., Prudhomme, S., & Knio, O. M. (2018). Probabilistic modeling and global sensitivity analysis for CO2 storage in geological formations: a spectral approach. Applied Mathematical Modelling, 53, 584-601. Lien externe
Selvakumaran, L., Long, Q., Prudhomme, S., & Lubineau, G. (2015). On the detectability of transverse cracks in laminated composites using electrical potential change measurements. Composite Structures, 121, 237-246. Lien externe
Sakamoto, Y., Prudhomme, S., & Zaman, M. (2014). Modeling of adhesion, protrusion, and contraction coordination for cell migration simulations. Journal of Mathematical Biology, 68(1-2), 267-302. Lien externe
Seleson, P., Beneddine, S., & Prudhomme, S. (2013). A force-based coupling scheme for peridynamics and classical elasticity. Computational Materials Science, 66, 34-49. Lien externe
Sakamoto, Y., Prudhomme, S., & Zaman, M. H. (2011). Viscoelastic gel-strip model for the simulation of migrating cells. Annals of Biomedical Engineering, 39(11), 2735-2749. Lien externe
Tinsley Oden, J., Prudhomme, S., Romkes, A., & Bauman, P. T. (2006). Multiscale modeling of physical phenomena: Adaptive control of models. SIAM Journal on Scientific Computing, 28(6), 2359-2389. Lien externe
Vella, C., Gosselet, P., & Prudhomme, S. (2024). An efficient PGD solver for structural dynamics applications. Advanced Modeling and Simulation in Engineering Sciences, 11, 15 (27 pages). Disponible
Vella, C., & Prudhomme, S. (2022). PGD reduced-order modeling for structural dynamics applications. Computer Methods in Applied Mechanics and Engineering, 402, 115736 (36 pages). Lien externe
van Opstal, T. M., Bauman, P. T., Prudhomme, S., & van Brummelen, E. H. (2015). Goal-oriented model adaptivity for viscous incompressible flows. Computational Mechanics, 55(6), 1181-1190. Lien externe
van der Zee, K. G., Tinsley Oden, J., Prudhomme, S., & Hawkins‐Daarud, A. (2011). Goal‐oriented error estimation for Cahn-Hilliard models of binary phase transition. Numerical Methods for Partial Differential Equations, 27(1), 160-196. Lien externe
