S. Prudhomme

发表

On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation

J. Guermond, S. Prudhomme, 2005 .

Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems

Igor Mozolevski, Serge Prudhomme, S. Prudhomme, 2015 .

A APosteriori Error Estimates of Quantities of Interest

S. Prudhomme, 2015 .

Goal-oriented error estimation and adaptivity for the finite element method

J. Oden, S. Prudhomme, 2001 .

ICES REPORT 1237 August 2012 Dynamic Data Driven Application Systems for Monitoring Damage in Composite Materials Under Dynamic Loads

J. Oden, P. Bauman, S. Prudhomme, 2022 .

A new goal-oriented formulation of the finite element method

S. Prudhomme, L. Chamoin, Kenan Kergrene, 2017 .

Approximation of constrained problems using the PGD method with application to pure Neumann problems

S. Prudhomme, L. Chamoin, Kenan Kergrene, 2017 .

Flux evaluation in primal and dual boundary-coupled problems

Brummelen van Eh, Serge Prudhomme, S. Prudhomme, 2011 .

Adaptive control of error and stability of h-p approximations of the transient Navier-Stokes equations

S. Prudhomme, 1999 .

A POSTERIORI ERROR CONTROL FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM DATA.

Corey M. Bryant, S. Prudhomme, T. Wildey, 2013 .

A posteriori error estimation of steady-state finite element solutions of the Navier—Stokes equations by a subdomain residual method

Serge Prudhomme, S. Prudhomme, H. Jin, 1998 .

Goal‐oriented error estimation for Cahn–Hilliard models of binary phase transition

J. Tinsley Oden, Serge Prudhomme, Andrea Hawkins-Daarud, 2011 .

Goal‐oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation

David Pardo, Serge Prudhomme, Vincent Darrigrand, 2018 .

Goal-oriented model adaptivity for viscous incompressible flows

P. Bauman, S. Prudhomme, E. H. Brummelen, 2015 .

On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors

Serge Prudhomme, J. T. Oden, J. Oden, 1999 .

Probabilistic Models and Uncertainty Quantification for the Ionization Reaction Rate of Atomic Nitrogen

E. Prudencio, S. Prudhomme, K. Miki, 2011 .

Calibration of rates parameters for multi-temperature models using Bayesian formulation

K. Schulz, E. Prudencio, S. Prudhomme, 2011 .

UNIVERSITÉ DE MONTRÉAL ON DELAMINATION CRACK DETECTION IN CARBON FIBER REINFORCED POLYMERS USING ELECTRICAL IMPEDANCE TOMOGRAPHY AND SUPERVISED LEARNING AUGUSTIN SCHMIDT DÉPARTEMENT DE MATHÉMATIQUES ET DE GÉNIE INDUSTRIEL ÉCOLE POLYTECHNIQUE DE MONTRÉAL MÉMOIRE PRÉSENTÉ EN VUE DE L’OBTENTI

S. Prudhomme, M. Laforest, 2018 .

Analysis of an Averaging Operator for Atomic-to-Continuum Coupling Methods by the Arlequin Approach

J. Oden, S. Prudhomme, H. Dhia, 2012 .

First Edition: Theory of Global Estimation of Modeling Error

Daniel C. Hammerand, S. Prudhomme, T. Oden, 2007 .

Ghost forces and spurious effects in atomic‐to‐continuum coupling methods by the Arlequin approach

Ludovic Chamoin, Serge Prudhomme, H. Ben Dhia, 2010 .

Coupling Methods for Multiscale Simulations and Adaptive Modeling Uncertainty Quantification in Atomistic-to-Continuum Methods for Complex Molecular Systems

J. Oden, S. Prudhomme, 2011 .

On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

Paul T. Bauman, Serge Prudhomme, J. T. Oden, 2005 .

On the detectability of transverse cracks in laminated composites using electrical potential change measurements

S. Prudhomme, G. Lubineau, Quan Long, 2015 .

Title: A Definition for Large-Eddy-Simulation Approximations of the Navier- Stokes Equations Running title: A definition of LES

J. Guermond, S. Prudhomme, 2004 .

00-27 October 17 , 2000 Review of A Priori Error Estimation for Discontinuous Galerkin Methods

J. Oden, S. Prudhomme, A. Romkes, 2000 .

SIMPLE TECHNIQUES TO IMPROVE THE RELIABILITY OF A POSTERIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS

J. Oden, S. Prudhomme, 2001 .

ERROR CONTROL IN FINITE ELEMENT APPROXIMATIONS OF NONLINEAR PROBLEMS IN MECHANICS

J. Oden, S. Prudhomme, D. Fuentes, 2005 .

A DEFINITION FOR LARGE EDDY SIMULATION APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS

J. Guermond, S. Prudhomme, 2004 .

ERDC MSRC/PET TRiOO-I3 Error and Shape Quality Indicators for Adaptive Refinement and Deforming Finite Elements

J. Oden, G. Carey, D. Littlefield, 2006 .

On a a posteriori error estimator for the discontinuous Galerkin method

J. Oden, G. Carey, S. Prudhomme, 2022 .

ADAPTIVE CONTROL OF THE ERROR IN DIRECT NUMERICAL APPROXIMATIONS OF THE TRANSIENT NAVIER-STOKES EQUATIONS

J. Oden, S. Prudhomme, 2006 .

New Approaches to Error Estimation and Adaptivity for the Navier-Stokes Equations

J. Oden, S. Prudhomme, 1998 .

On a Goal-Oriented Version of the Proper Generalized Decomposition Method

S. Prudhomme, L. Chamoin, Kenan Kergrene, 2019, Journal of Scientific Computing.

Probabilistic modeling and global sensitivity analysis for $CO_2$ storage in geological formations: a spectral approach

Omar M. Knio, Serge Prudhomme, Alen Alexanderian, 2016, 1602.02736.

GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING

J. Tinsley Oden, Serge Prudhomme, Andrea Hawkins, 2010 .

Adaptive multiscale modeling of polymeric materials with Arlequin coupling and Goals algorithms

J. Tinsley Oden, Paul T. Bauman, Serge Prudhomme, 2009 .

MultiScale Modeling of Physical Phenomena: Adaptive Control of Models

J. Tinsley Oden, Paul T. Bauman, Serge Prudhomme, 2006, SIAM J. Sci. Comput..

Structural Simulations Using Multi-Resolution Material Models

Chandrajit L. Bajaj, Serge Prudhomme, J. T. Oden, 2001 .

Numerical stability and error analysis for the incompressible Navier-Stokes equations

Serge Prudhomme, J. T. Oden, J. Oden, 2002 .

Estimation of modeling error in computational mechanics

J. Tinsley Oden, Serge Prudhomme, J. Oden, 2002 .

Investigation of supersonic underexpanded jets using adaptive unstructured finite elements

Serge Prudhomme, Hossein Haj-Hariri, S. Prudhomme, 1994 .

Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

Jean-Luc Guermond, Serge Prudhomme, J. Oden, 2004 .

MATHEMATICAL ANALYSIS OF A SPECTRAL HYPERVISCOSITY LES MODEL FOR THE SIMULATION OF TURBULENT FLOWS

Jean-Luc Guermond, Serge Prudhomme, J. Guermond, 2003 .

Workshop on Experimental and Computational Fracture Mechanics 2020

Patrick Diehl, Pablo Seleson, Serge Prudhomme, 2020 .

A force-based coupling scheme for peridynamics and classical elasticity

Serge Prudhomme, Samir Beneddine, Pablo Seleson, 2013 .

A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations

Ludovic Chamoin, Serge Prudhomme, J. T. Oden, 2008 .

A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2004, International Conference on Computational Science.

ICES REPORT #04-06 A COMPUTATIONAL INFRASTRUCTURE FOR RELIABLE COMPUTER SIMULATIONS

Ivo Babuška, Raul Tempone, James C. Browne, 2004 .

Coupling Approaches for Classical Linear Elasticity and Bond-Based Peridynamic Models

S. Prudhomme, Patrick Diehl, 2022, Journal of Peridynamics and Nonlocal Modeling.

Optimal Design of Validation Experiments for the Prediction of Quantities of Interest

S. Prudhomme, M. Laforest, Antonin Paquette-Rufiange, 2023, Computer Methods in Applied Mechanics and Engineering.

A Review of Benchmark Experiments for the Validation of Peridynamics Models

Martin Lévesque, Patrick Diehl, Serge Prudhomme, 2019, Journal of Peridynamics and Nonlocal Modeling.

Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems

J. Tinsley Oden, Serge Prudhomme, J. Oden, 2003 .

A posteriori error estimation and error control for finite element approximations of the time-dependent Navier-Stokes equations

Serge Prudhomme, J. T. Oden, J. Oden, 1999 .

A technique for a posteriori error estimation of h-p approximations of the Stokes equations

Serge Prudhomme, J. T. Oden, J. Oden, 1998 .

LOCAL AND POLLUTION ERROR ESTIMATION FOR STOKESIAN FLOWS

Yusheng Feng, J. Tinsley Oden, Serge Prudhomme, 1998 .

Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems

Fabio Nobile, Ludovic Chamoin, Serge Prudhomme, 2004 .

ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS

J. Tinsley Oden, Serge Prudhomme, Tim Westermann, 2003 .

Practical methods for a posteriori error estimation in engineering applications

J. Tinsley Oden, Serge Prudhomme, Mark E. Botkin, 2003 .

A posteriori error estimation for acoustic wave propagation problems

J. Tinsley Oden, Leszek Demkowicz, Serge Prudhomme, 2005 .

New approaches to error estimation and adaptivity for the Stokes and Oseen equations

Serge Prudhomme, J. T. Oden, J. Oden, 1999 .

Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2007, International Conference on Computational Science.

A fully discrete nonlinear Galerkin method for the 3D Navier–Stokes equations

J. Guermond, S. Prudhomme, 2008 .

Error Control for Molecular Statics Problems

J. Tinsley Oden, Paul T. Bauman, Serge Prudhomme, 2006 .

On the treatment of boundary conditions for bond-based peridynamic models

S. Prudhomme, Patrick Diehl, 2020, Computer Methods in Applied Mechanics and Engineering.

On the (in)validation of a thermochemical model with EAST shock tube radiation measurements

Karl Schulz, David B. Goldstein, Serge Prudhomme, 2010 .

A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations

J. Tinsley Oden, Ludovic Chamoin, Serge Prudhomme, 2011 .

Dynamic data‐driven finite element models for laser treatment of cancer

J C Browne, K R Diller, J Hazle, 2007, Numerical methods for partial differential equations.

Convergence analysis of a discontinuous finite element formulation based on second order derivatives

J. Oden, S. Prudhomme, A. Romkes, 2006 .

Estimation of the nitrogen ionization reaction rate using electric arc shock tube data and Bayesian model analysis

Serge Prudhomme, Marco Panesi, Ernesto E. Prudencio, 2012 .

Probabilistic models and uncertainty quantification for the ionization reaction rate of atomic Nitrogen

Serge Prudhomme, Marco Panesi, Ernesto E. Prudencio, 2011, J. Comput. Phys..

An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations

Paul T. Bauman, Ludovic Chamoin, Serge Prudhomme, 2009 .

Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method

Paul T. Bauman, Serge Prudhomme, J. T. Oden, 2008 .

On the application of the Arlequin method to the coupling of particle and continuum models

J. Tinsley Oden, Paul T. Bauman, Serge Prudhomme, 2008 .

Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth

J. Tinsley Oden, Serge Prudhomme, Kristoffer G. van der Zee, 2012, Journal of Mathematical Biology.

Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth

J. Oden, A. Hawkins-Daarud, S. Prudhomme, 2012, Journal of Mathematical Biology.

Adaptive surrogate modeling for response surface approximations with application to bayesian inference

Serge Prudhomme, Corey M. Bryant, S. Prudhomme, 2015, Adv. Model. Simul. Eng. Sci..

Modeling Error and Adaptivity in Nonlinear Continuum Mechanics

Serge Prudhomme, Daniel C. Hammerand, Mieczysław Kuczma, 2001 .

An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization

Jean-Luc Guermond, Serge Prudhomme, J. Oden, 2003 .

Systematic validation of non-equilibrium thermochemical models using Bayesian inference

Serge Prudhomme, Marco Panesi, Kenji Miki, 2015, J. Comput. Phys..

On the assessment of a Bayesian validation methodology for data reduction models relevant to shock tube experiments

Serge Prudhomme, Marco Panesi, Aaron M. Brandis, 2012 .

Model-based control of a continuous coating line for proton exchange membrane fuel cell electrode assembly

J. Beaman, S. Prudhomme, L. Lopez, 2015 .

Bayesian uncertainty analysis with applications to turbulence modeling

Sai Hung Cheung, Todd A. Oliver, Robert D. Moser, 2011, Reliab. Eng. Syst. Saf..

A Review of Benchmark Experiments for the Validation of Peridynamics Models

S. Prudhomme, M. Lévesque, Patrick Diehl, 2019, Journal of Peridynamics and Nonlocal Modeling.

Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty

Tim Wildey, Serge Prudhomme, Corey Bryant, 2015, SIAM/ASA J. Uncertain. Quantification.

Operator approximation of the wave equation based on deep learning of Green's function

S. Prudhomme, R. Cottereau, M. Laforest, 2023, Comput. Math. Appl..

On a Goal-Oriented Version of the Proper Generalized Decomposition Method

Marc Laforest, Ludovic Chamoin, Serge Prudhomme, 2019, J. Sci. Comput..

A mathematical framework for the analysis and comparison of contact detection methods for ellipses and ellipsoids

S. Prudhomme, M. Laforest, E. Kheradmand, 2022, Computational Particle Mechanics.

Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems

Graham F. Carey, Serge Prudhomme, Vikram Garg, 2014, Adv. Model. Simul. Eng. Sci..

Data partition methodology for validation of predictive models

Gabriel Terejanu, Serge Prudhomme, Rebecca E. Morrison, 2013, Comput. Math. Appl..

Development of a Computational Paradigm for Laser Treatment of Cancer

Yusheng Feng, J. Tinsley Oden, James C. Browne, 2006, International Conference on Computational Science.

Multi-level Neural Networks for Accurate Solutions of Boundary-Value Problems

S. Prudhomme, R. Cottereau, M. Laforest, 2023, Computer Methods in Applied Mechanics and Engineering.

PGD reduced-order modeling for structural dynamics applications

S. Prudhomme, Clément Vella, 2022, Computer Methods in Applied Mechanics and Engineering.

Enhanced functional evaluation for the finite element penalty method

Serge Prudhomme, Vikram V. Garg, S. Prudhomme, 2019, Comput. Math. Appl..

WITHDRAWN: Enhanced functional evaluation for the finite element penalty method

S. Prudhomme, V. Garg, 2019, Computers & Mathematics with Applications.

Extensions of goal-oriented error estimation methods to simulations of highly-nonlinear response of shock-loaded elastomer-reinforced structures

J. Tinsley Oden, David L. Littlefield, Serge Prudhomme, 2006 .

ADAPTIVE MODELING IN COMPUTATIONAL SOLID MECHANICS

J. Oden, S. Prudhomme, G. Ayala, 2006 .

ADAPTIVE MODELING IN COMPUTATIONAL MECHANICS

Serge Prudhomme, J. T. Oden, J. Oden, 2002 .

PROGRESS ON PRACTICAL METHODS OF ERROR ESTIMATION FOR ENGINEERING CALCULATIONS

J. Tinsley Oden, Serge Prudhomme, Tim Westermann, 2001 .

Uncertainty Quantification in Porous Media with Multi-Level Monte Carlo

R. Tempone, S. Prudhomme, Bilal Saad, 2015 .

Control of modeling error in calibration and validation processes for predictive stochastic models

J. Tinsley Oden, Serge Prudhomme, J. Oden, 2011 .

Modeling of adhesion, protrusion, and contraction coordination for cell migration simulations

M. Zaman, S. Prudhomme, Y. Sakamoto, 2012, Journal of Mathematical Biology.

Viscoelastic Gel-Strip Model for the Simulation of Migrating Cells

M. Zaman, S. Prudhomme, Y. Sakamoto, 2011, Annals of Biomedical Engineering.

International Journal for Numerical Methods in Fluids New Approaches to Error Estimation and Adaptivity for the Stokes and Oseen Equations

S. Prudhomme, J. Oden, 2022 .