Goal-oriented error estimation and adaptivity for the finite element method JT Oden, S Prudhomme Computers & mathematics with applications 41 (5-6), 735-756, 2001 | 551 | 2001 |
On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors S Prudhomme, JT Oden Computer Methods in Applied Mechanics and Engineering 176 (1-4), 313-331, 1999 | 524 | 1999 |
Estimation of modeling error in computational mechanics JT Oden, S Prudhomme Journal of Computational Physics 182 (2), 496-515, 2002 | 312 | 2002 |
Bayesian uncertainty analysis with applications to turbulence modeling SH Cheung, TA Oliver, EE Prudencio, S Prudhomme, RD Moser Reliability Engineering & System Safety 96 (9), 1137-1149, 2011 | 295 | 2011 |
General diffuse-interface theories and an approach to predictive tumor growth modeling JT Oden, A Hawkins, S Prudhomme Mathematical Models and Methods in Applied Sciences 20 (03), 477-517, 2010 | 248 | 2010 |
On the application of the Arlequin method to the coupling of particle and continuum models PT Bauman, HB Dhia, N Elkhodja, JT Oden, S Prudhomme Computational mechanics 42, 511-530, 2008 | 189 | 2008 |
A force-based coupling scheme for peridynamics and classical elasticity P Seleson, S Beneddine, S Prudhomme Computational Materials Science 66, 34-49, 2013 | 183 | 2013 |
Multiscale modeling of physical phenomena: Adaptive control of models J Tinsley Oden, S Prudhomme, A Romkes, PT Bauman SIAM Journal on Scientific Computing 28 (6), 2359-2389, 2006 | 175 | 2006 |
Mathematical perspectives on large eddy simulation models for turbulent flows JL Guermond, JT Oden, S Prudhomme Journal of Mathematical Fluid Mechanics 6, 194-248, 2004 | 149 | 2004 |
Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth A Hawkins-Daarud, S Prudhomme, KG van der Zee, JT Oden Journal of mathematical biology 67, 1457-1485, 2013 | 132 | 2013 |
A review of benchmark experiments for the validation of peridynamics models P Diehl, S Prudhomme, M Lévesque Journal of Peridynamics and Nonlocal Modeling 1, 14-35, 2019 | 119 | 2019 |
Adaptive multiscale modeling of polymeric materials with Arlequin coupling and Goals algorithms PT Bauman, JT Oden, S Prudhomme Computer methods in applied mechanics and engineering 198 (5-8), 799-818, 2009 | 107 | 2009 |
Practical methods for a posteriori error estimation in engineering applications S Prudhomme, JT Oden, T Westermann, J Bass, ME Botkin International Journal for Numerical Methods in Engineering 56 (8), 1193-1224, 2003 | 99 | 2003 |
Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method S Prudhomme, HB Dhia, PT Bauman, N Elkhodja, JT Oden Computer Methods in Applied Mechanics and Engineering 197 (41-42), 3399-3409, 2008 | 93 | 2008 |
Review of a priori error estimation for discontinuous Galerkin methods S Prudhomme, F Pascal, JT Oden, A Romkes Université Paris-Sud. Laboratoire de Mathématiques, 2000 | 90 | 2000 |
Error control for molecular statics problems S Prudhomme, PT Bauman, JT Oden International Journal for Multiscale Computational Engineering 4 (5-6), 2006 | 86 | 2006 |
Computable error estimators and adaptive techniques for fluid flow problems S Prudhomme, JT Oden Error estimation and adaptive discretization methods in computational fluid …, 2003 | 74 | 2003 |
An interpretation of the Navier–Stokes-alpha model as a frame-indifferent Leray regularization JL Guermond, JT Oden, S Prudhomme Physica D: Nonlinear Phenomena 177 (1-4), 23-30, 2003 | 73 | 2003 |
An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations S Prudhomme, L Chamoin, HB Dhia, PT Bauman Computer methods in applied mechanics and engineering 198 (21-26), 1887-1901, 2009 | 68 | 2009 |
Modeling error and adaptivity in nonlinear continuum mechanics JT Oden, S Prudhomme, DC Hammerand, MS Kuczma Computer Methods in Applied Mechanics and Engineering 190 (49-50), 6663-6684, 2001 | 66 | 2001 |