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.
Directory of Experts
Prudhomme, Serge
Directory of Experts
Prudhomme, Serge
Directory of Experts
Publications by date
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)
- 2025 (4)
Journal article Journal article 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.Conference paper 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.Journal article 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 (4)
Journal article 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).Journal article 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).Journal article 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).Journal article 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 (2)
Conference paper 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).Journal article 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 (5)
Journal article 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.Journal article 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.Journal article 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.Journal article 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.Journal article 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 (2)
Journal article 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.Conference paper 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.
- 2020 (2)
Journal article 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).Report Diehl, P., Prudhomme, S., & Seleson, P. (2020). Workshop on Experimental and Computational Fracture Mechanics 2020. (Technical Report n° ORNL/TM-2020/1714).
- 2019 (6)
Conference paper 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).Journal article 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.Journal article Garg, V. V., & Prudhomme, S. (2019). Enhanced functional evaluation for the finite element penalty method. Computers and Mathematics with Applications, 78(12), 3821-3840.Journal article 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.Conference paper 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.Conference paper 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 (3)
Conference paper Diehl, P., Prudhomme, S., & Lévesque, M. (2018, January). A review for benchmark experiments against peridynamic models [Presentation]. In Nonlocal Methods in Fracture, Austin, USA.Journal article 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.Journal article 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 (4)
Journal article 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.Journal article 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.Conference paper 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.Conference paper 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 (11)
Conference paper Prudhomme, S. (2015, June). Adaptive response surface approximation method for bayesian inference [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2015), Nantes, France.Conference paper 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.Journal article 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.Book chapter Prudhomme, S. (2015). A Posteriori Error Estimates of Quantities of Interest. In Engquist, B. (ed.), Encyclopedia of Applied and Computational Mathematics (5 pages).Journal article 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.Journal article 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.Conference paper 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.Journal article 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.Journal article 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.Journal article 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.Journal article 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 (2)
Journal article 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).Journal article 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 (6)
Conference paper Prudhomme, S. (2013, October). Adaptive modeling for coupling methods [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands.Journal article Seleson, P., Beneddine, S., & Prudhomme, S. (2013). A force-based coupling scheme for peridynamics and classical elasticity. Computational Materials Science, 66, 34-49.Conference paper 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.Conference paper Prudhomme, S. (2013, October). An introduction to goal-oriented error estimation [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands.Journal article 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.Journal article 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 (4)
Journal article 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.Journal article 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).Conference paper Prudhomme, S. (2012, July). On data splitting for model validation [Paper]. Joint Statistical Meeting, San Diego, California.Journal article 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 (9)
Conference paper 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.Journal article 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.Journal article 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.Conference paper 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).Journal article 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.Conference paper 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..Journal article 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.Conference paper 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).Journal article 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 (5)
Journal article 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.Journal article 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.Conference paper 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.Conference paper 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.Conference paper 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 (7)
Journal article 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.Conference paper 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.Journal article 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.Conference paper 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.Book chapter 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).Book chapter 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).Conference paper Prudhomme, S. (2009, October). Modeling and numerical simulation of tumor growth [Paper]. AMS Fall Central Section Meeting, Baylor University, Waco, Texas.
- 2008 (7)
Conference paper 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.Journal article 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.Journal article 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.Journal article 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.Conference paper 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.Conference paper Prudhomme, S. (2008, October). On a stochastic approach for atomic-to-continuum coupling methods [Paper]. 4th International Conference on Multiscale Materials Modeling, Tallahassee, Florida.Journal article 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 (3)
Journal article 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.Conference paper 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.Conference paper 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 (7)
Conference paper 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.Journal article 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.Conference paper 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.Journal article 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.Journal article 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.Book chapter Guermond, J.-L., & Prudhomme, S. (2006). Issues for a mathematical definition of LES. In Numerical Mathematics and Advanced Applications (pp. 796-804).Journal article 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 (6)
Journal article 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.Conference paper 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.Conference paper 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.Conference paper 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.Journal article 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.Journal article 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 (4)
Conference paper 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.Journal article 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.Journal article 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.Conference paper 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.
- 2003 (8)
Journal article 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.Journal article 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.Journal article 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.Book chapter 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).Journal article 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.Journal article 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.Journal article 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.Journal article 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 (4)
Conference paper Prudhomme, S., & Oden, J. T. (2002, July). A posteriori estimation of modeling and approximation errors [Paper]. 5th World Congress on Computational Mechanics, Vienna, Austria.Conference paper 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.Journal article Oden, J. T., & Prudhomme, S. (2002). Estimation of modeling error in computational mechanics. Journal of Computational Physics, 182(2), 496-515.Journal article 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 (5)
Journal article 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.Journal article 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.Journal article 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.Conference paper 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).Conference paper 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).
- 1999 (2)
Journal article 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.Journal article 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 (3)
Journal article 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.Journal article 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.Conference paper 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 (2)
Conference paper 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.Conference paper 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.
- 1994 (1)
Journal article 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.
