Directory of Experts

Prudhomme, Serge

Directory of Experts

Prudhomme, Serge

Directory of Experts

Publications by type

Journal article (77) Conference paper (45) Book Book chapter (5) Patent Report (1) Thesis Dataset Teaching resource Image Audio recording Video recording Other

Serge Prudhomme (128)

Journal articles (77)
- 2025
  - Diehl, P., Downing, E., Edwards, A., & Prudhomme, S. (2025). Coupling Approaches with Non-matching Grids for Classical Linear Elasticity and Bond-based Peridynamic Models in 1D. Journal of Peridynamics and Nonlocal Modeling, 7(2), 29 pages.
  - Banna, G. C., Laforest, M., & Prudhomme, S. (2025). Generation of pairs of ellipses and ellipsoids from distributions in parameter space. Computational Particle Mechanics, 11 pages.
  - Vella, C., & Prudhomme, S. (2025). Proper generalized decomposition surrogate modeling with application to the identification of Rayleigh damping parameters. Computers & Structures, 315, 107826 (16 pages).
- 2024
  - 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).
  - 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).
  - 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).
  - 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.
- 2023
  - 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.
- 2022
  - 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.
  - 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.
  - 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.
  - 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.
  - Vella, C., & Prudhomme, S. (2022). PGD reduced-order modeling for structural dynamics applications. Computer Methods in Applied Mechanics and Engineering, 402, 115736 (36 pages).
- 2021
  - 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.
- 2020
  - 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).
- 2019
  - 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.
  - Garg, V. V., & Prudhomme, S. (2019). Enhanced functional evaluation for the finite element penalty method. Computers and Mathematics with Applications, 78(12), 3821-3840.
  - 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.
- 2018
  - 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.
  - 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.
- 2017
  - 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.
  - 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.
- 2015
  - 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.
  - 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.
  - 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.
  - 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.
  - Devaraj, V., López, 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.
  - 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.
  - Miki, K., Panesi, M., & Prudhomme, S. (2015). Systematic validation of non-equilibrium thermochemical models using Bayesian inference. Journal of Computational Physics, 298, 125-144.
- 2014
  - 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).
  - 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.
- 2013
  - Seleson, P., Beneddine, S., & Prudhomme, S. (2013). A force-based coupling scheme for peridynamics and classical elasticity. Computational Materials Science, 66, 34-49.
  - 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.
  - 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.
- 2012
  - 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.
  - 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).
  - 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.
- 2011
  - 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.
  - 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.
  - 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.
  - 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.
  - 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.
- 2010
  - 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.
  - 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.
- 2009
  - 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.
  - 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.
- 2008
  - 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.
  - 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.
  - 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.
  - 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.
- 2007
  - 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.
- 2006
  - 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.
  - 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.
  - 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.
  - 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.
- 2005
  - 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.
  - 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.
  - 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.
- 2004
  - 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.
  - 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.
- 2003
  - 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.
  - 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.
  - 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.
  - 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.
  - 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.
  - 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.
  - 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.
- 2002
  - Oden, J. T., & Prudhomme, S. (2002). Estimation of modeling error in computational mechanics. Journal of Computational Physics, 182(2), 496-515.
  - 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.
- 2001
  - 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.
  - 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.
  - 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.
- 1999
  - 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.
  - 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.
- 1998
  - 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.
  - 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.
- 1994
  - 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.
Conference papers (45)
- 2025
  - Bilodeau, C., Aldirany, Z., Cottereau, R., & Prudhomme, S. (2025, February). Linear Operator Learning using GreenONets and a Multi-level Neural Network approach [Abstract]. 3rd IACM Digital Twins in Engineering Conference (DTE 2025) & 1st ECCOMAS Artificial Intelligence and Computational Methods in Applied Science (AICOMAS 2025), Paris, France.
- 2023
  - Prudhomme, S., Guignard, D., Kergrene, K., & Vacher, J. (2023, June). Goal-Oriented Mesh Adaptation based on Optimization Approaches [Abstract]. XI International Conference on Adaptive Modeling and Simulation (ADMOS 2023), Gothenburg, Sweden (1 page).
- 2021
  - Prudhomme, S., Guignard, D., Darrigrand, V., Kergrene, K., Vacher, J., & Iannuzzi, V. (2021, June). Computational Analysis of Goal-Oriented Adaptive Strategies based on Several Error Representations [Presentation]. In 10th International Conference on Adaptative Modeling and Simulation (ADMOS 2021), Gothenburg, Sweden.
- 2019
  - Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2019, May). Adaptive reduced-order modeling using a goal-oriented pgd approach [Paper]. International Conference on Adaptive Modeling and Simulation, El Campello, Spain (1 page).
  - Laberge, G., Shirzad, S., Diehl, P., Kaiser, H., Prudhomme, S., & Lemoine, A. (2019, November). Scheduling Optimization of Parallel Linear Algebra Algorithms Using Supervised Learning [Paper]. IEEE/ACM Workshop on Machine Learning in High Performance Computing Environments (MLHPC 2019), Denver, CO, USA.
  - Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2019, September). Topology Optimization of Lattices by Adaptative Processes [Paper]. 2nd International Conference on Simulation for Additive Manufacturing (SIM-AM 2019), Pavia, Italy (1 page).
- 2018
  - Diehl, P., Prudhomme, S., & Lévesque, M. (2018, January). A review for benchmark experiments against peridynamic models [Presentation]. In Nonlocal Methods in Fracture, Austin, USA.
- 2017
  - Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2017, October). Design of unstructured lattices by an adaptive topology optimization process [Paper]. Simulation for Additive Manufacturing (Sinam 2017), Munich, Germany.
  - Darrigrand, V., Pardo, D., Rodríguez-Rozas, Á., Muga, I., Romkes, A., & Prudhomme, S. (2017, June). Unconventional error representations for goal oriented p-adaptivity and its applications [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2017), Verbania, Italy.
- 2015
  - Prudhomme, S. (2015, June). Adaptive response surface approximation method for bayesian inference [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2015), Nantes, France.
  - Prudhomme, S. (2015, July). Adaptive surrogate modeling for bayesian parameter estimation of RANS models [Paper]. 13th U.S. National Congress on Computational Mechanics, San Diego, California.
  - Prudhomme, S. (2015, July). Goal-oriented error estimation in computational sciences and engineering [Paper]. 13th U.S. National Congress on Computational Mechanics, San Diego, California.
- 2013
  - Prudhomme, S. (2013, October). Adaptive modeling for coupling methods [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands.
  - Prudhomme, S., Zee, K. , & Dedè, L. (2013, June). Analysis of linearization error for goal-oriented adaptivity of nonlinear problems [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2013), Lisbon, Portugal.
  - Prudhomme, S. (2013, October). An introduction to goal-oriented error estimation [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands.
- 2012
  - Prudhomme, S. (2012, July). On data splitting for model validation [Paper]. Joint Statistical Meeting, San Diego, California.
- 2011
  - 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.
  - Panesi, M., Miki, K., Schulz, K., Prudencio, E., & Prudhomme, S. (2011, June). Calibration of rates parameters for multi-temperature models using Bayesian formulation [Paper]. 42nd AIAA Thermophysics Conference, Honolulu, Hawaii (30 pages).
  - 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..
  - Miki, K., Panesi, M., Prudencio, E. E., Prudhomme, S., & Schulz, K. (2011, June). Systematic validation of non-equilibrium thermochemical models using Bayesian approach [Paper]. 42nd AIAA Thermophysics Conference, Honolulu, HA (18 pages).
- 2010
  - Miki, K., Panesi, M., Prudencio, E., Maurente, A., Cheung, S. H., Jagodzinski, J., Goldstein, D., Prudhomme, S., Schulz, K., & Simmons, C. (2010, January). On the (in) validation of a thermochemical model with east shock tube radiation measurements [Paper]. 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL.
  - Prudhomme, S., & Tinsley Oden, J. (2010, November). Review of error estimation and adaptive methods for verification of numerical simulations [Paper]. American Nuclear Sociery Winter Meeting, Las Vegas, Nevada. Published in Transactions of the American Nuclear Society, 103.
  - Miki, K., Panesi, M., Prudencio, E., & Prudhomme, S. (2010, June). Toward the validation of thermochemical models with EAST shock tube radiation measurements [Paper]. CTR Summer Program 2010, Stanford University, Palo Alto, CA, United States.
- 2009
  - 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.
  - 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.
  - Prudhomme, S. (2009, October). Modeling and numerical simulation of tumor growth [Paper]. AMS Fall Central Section Meeting, Baylor University, Waco, Texas.
- 2008
  - Prudhomme, S. (2008, October). A coupling method for molecular and continuum models with random input data based on the stochastic collocation approach [Paper]. DOE Applied Mathematics Program Meeting, Argonne, Illinois.
  - 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.
  - Prudhomme, S. (2008, October). On a stochastic approach for atomic-to-continuum coupling methods [Paper]. 4th International Conference on Multiscale Materials Modeling, Tallahassee, Florida.
- 2007
  - 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.
  - 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.
- 2006
  - Guermond, J.-L., & Prudhomme, S. (2006, September). A reinterpretation of the non-linear Galerkin method as a large eddy simulation technique [Paper]. European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2006), Egmond aan Zee, The Netherlands.
  - 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.
- 2005
  - 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.
  - 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.
  - 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.
- 2004
  - 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.
  - 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.
- 2002
  - Prudhomme, S., & Oden, J. T. (2002, July). A posteriori estimation of modeling and approximation errors [Paper]. 5th World Congress on Computational Mechanics, Vienna, Austria.
  - 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.
- 2001
  - 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).
  - 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).
- 1998
  - 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).
- 1997
  - 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.
  - 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.
Book chapters (5)
- 2015
  - Prudhomme, S. (2015). A Posteriori Error Estimates of Quantities of Interest. In Engquist, B. (ed.), Encyclopedia of Applied and Computational Mathematics (5 pages).
- 2009
  - 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. In Minkowycz, W. J. (ed.), Advances in numerical heat transfer (Vol. 3, pp. 307-344).
  - 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).
- 2006
  - Guermond, J.-L., & Prudhomme, S. (2006). Issues for a mathematical definition of LES. In Numerical Mathematics and Advanced Applications (pp. 796-804).
- 2003
  - 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).
Reports (1)
- 2020
  - Diehl, P., Prudhomme, S., & Seleson, P. (2020). Workshop on Experimental and Computational Fracture Mechanics 2020. (Technical Report n° ORNL/TM-2020/1714).

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Prudhomme, Serge

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Prudhomme, Serge

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Serge Prudhomme (128)