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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). Available
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). External link
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. External link
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. External link
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. External link
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. External link
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. External link
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. External link
Vella, C., & Prudhomme, S. (2022). PGD reduced-order modeling for structural dynamics applications. Computer Methods in Applied Mechanics and Engineering, 402, 115736 (36 pages). External link
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. External link
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). External link
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). Unavailable
Garg, V. V., & Prudhomme, S. (2019). Enhanced functional evaluation for the finite element penalty method. Computers and Mathematics with Applications, 78(12), 3821-3840. External link
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. External link
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. External link
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. External link
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). Unavailable
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. External link
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. External link
Diehl, P., Prudhomme, S., & Lévesque, M. (2018, January). A review for benchmark experiments against peridynamic models [Presentation]. In Nonlocal Methods in Fracture, Austin, USA. Unavailable
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. External link
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. Unavailable
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. External link
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. Unavailable
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. Available
Prudhomme, S. (2015, June). Adaptive response surface approximation method for bayesian inference [Paper]. International Conference on Adaptive Modeling and Simulation (ADMOS 2015), Nantes, France. Unavailable
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. External link
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. External link
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. External link
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. External link
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. External link
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. Available
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. External link
Prudhomme, S. (2015). A Posteriori Error Estimates of Quantities of Interest. In Engquist, B. (ed.), Encyclopedia of Applied and Computational Mathematics (5 pages). External link
Miki, K., Panesi, M., & Prudhomme, S. (2015). Systematic validation of non-equilibrium thermochemical models using Bayesian inference. Journal of Computational Physics, 298, 125-144. External link
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). Available
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. External link
Prudhomme, S. (2013, October). Adaptive modeling for coupling methods [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands. External link
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. Unavailable
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
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. External link
Seleson, P., Beneddine, S., & Prudhomme, S. (2013). A force-based coupling scheme for peridynamics and classical elasticity. Computational Materials Science, 66, 34-49. External link
Prudhomme, S. (2013, October). An introduction to goal-oriented error estimation [Paper]. 38th Woudschoten Conference, Zeist, The Netherlands. External link
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. External link
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). External link
Prudhomme, S. (2012, July). On data splitting for model validation [Paper]. Joint Statistical Meeting, San Diego, California. External link
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. 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
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. External link
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. External link
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. External link
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.. External link
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. External link
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. External link
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). External link
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. External link
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. External link
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. External link
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. External link
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. External link
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. External link
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. External link
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., 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. External link
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. External link
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). 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 (pp. 285-304). External link
Prudhomme, S. (2009, October). Modeling and numerical simulation of tumor growth [Paper]. AMS Fall Central Section Meeting, Baylor University, Waco, Texas. Unavailable
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. External link
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. Unavailable
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. Unavailable
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. External link
Prudhomme, S. (2008, October). On a stochastic approach for atomic-to-continuum coupling methods [Paper]. 4th International Conference on Multiscale Materials Modeling, Tallahassee, Florida. External link
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. External link
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. 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
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
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
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. 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
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. External link
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. External link
Guermond, J.-L., & Prudhomme, S. (2006). Issues for a mathematical definition of LES. In Numerical Mathematics and Advanced Applications (pp. 796-804). External link
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. External link
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. External link
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
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. 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
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. 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., & Demkowicz, L. (2005). A posteriori error estimation for acoustic wave propagation problems. Archives of Computational Methods in Engineering, 12(4), 343-389. External link
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
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. External link
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. External link
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. Unavailable
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). External link
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. External link
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. 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
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. External link
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. External link
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. External link
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
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
Oden, J. T., & Prudhomme, S. (2002). Estimation of modeling error in computational mechanics. Journal of Computational Physics, 182(2), 496-515. External link
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
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
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. External link
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). Unavailable
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). Unavailable
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
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
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. External link
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. 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
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., & Haj-Hariri, H. (1994). Investigation of supersonic underexpanded jets using adaptive unstructured finite elements. Finite Elements in Analysis and Design, 17(1), 21-40. External link
