| Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods C Prud’Homme, DV Rovas, K Veroy, L Machiels, Y Maday, AT Patera, ... J. Fluids Eng. 124 (1), 70-80, 2002 | 788 | 2002 |
| A priori convergence of the Greedy algorithmfor the parametrized reduced basis method A Buffa, Y Maday, AT Patera, C Prud’Homme, G Turinici ESAIM: Mathematical modelling and numerical analysis 46 (3), 595-603, 2012 | 413 | 2012 |
| A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations K Veroy, C Prud'Homme, D Rovas, A Patera 16th AIAA computational fluid dynamics conference, 3847, 2003 | 409 | 2003 |
| Hemodynamic forces tune the arrest, adhesion, and extravasation of circulating tumor cells G Follain, N Osmani, AS Azevedo, G Allio, L Mercier, MA Karreman, ... Developmental cell 45 (1), 33-52. e12, 2018 | 314 | 2018 |
| Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds K Veroy, C Prud'Homme, AT Patera Comptes Rendus. Mathématique 337 (9), 619-624, 2003 | 148 | 2003 |
| Feel++: A computational framework for galerkin methods and advanced numerical methods C Prud’Homme, V Chabannes, V Doyeux, M Ismail, A Samake, G Pena ESAIM: Proceedings 38, 429-455, 2012 | 98 | 2012 |
| Scalable domain decomposition preconditioners for heterogeneous elliptic problems P Jolivet, F Hecht, F Nataf, C Prud'Homme Proceedings of the International Conference on High Performance Computing …, 2013 | 95 | 2013 |
| A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations C Prud'Homme, DV Rovas, K Veroy, AT Patera ESAIM: Mathematical Modelling and Numerical Analysis 36 (5), 747-771, 2002 | 87 | 2002 |
| A domain specific embedded language in C++ for automatic differentiation, projection, integration and variational formulations C Prud′ homme Scientific Programming 14 (2), 81-110, 2006 | 83 | 2006 |
| Simulation of two-fluid flows using a finite element/level set method. Application to bubbles and vesicle dynamics V Doyeux, Y Guyot, V Chabannes, C Prud’Homme, M Ismail Journal of Computational and Applied Mathematics 246, 251-259, 2013 | 75 | 2013 |
| High performance domain decomposition methods on massively parallel architectures with freefem++ P Jolivet, V Dolean, F Hecht, F Nataf, C Prud’Homme, N Spillane Journal of Numerical Mathematics 20 (3-4), 287-302, 2012 | 63 | 2012 |
| High-order fluid–structure interaction in 2D and 3D application to blood flow in arteries V Chabannes, G Pena, C Prud’Homme Journal of Computational and Applied Mathematics 246, 1-9, 2013 | 58 | 2013 |
| Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics S Bertoluzza, V Chabannes, C Prud’Homme, M Szopos Computer Methods in Applied Mechanics and Engineering 322, 58-80, 2017 | 44 | 2017 |
| Life: Overview of a unified c++ implementation of the finite and spectral element methods in 1d, 2d and 3d C Prud’homme International Workshop on Applied Parallel Computing, 712-721, 2006 | 41 | 2006 |
| Simultaneous empirical interpolation and reduced basis method for non-linear problems C Daversin, C Prud'Homme Comptes Rendus Mathematique 353 (12), 1105-1109, 2015 | 32 | 2015 |
| Mathematical modeling of aqueous humor flow and intraocular pressure under uncertainty: towards individualized glaucoma management M Szopos, S Cassani, G Guidoboni, C Prud'Homme, R Sacco, B Siesky, ... Journal for Modeling in Ophthalmology 2, 29-39, 2016 | 29 | 2016 |
| On a Parallel Implementation of the Mortar ElementMethod GS Abdoulaev, Y Achdou, YA Kuznetsov, C Prud'Homme ESAIM: Mathematical Modelling and Numerical Analysis 33 (2), 245-259, 1999 | 28 | 1999 |
| Nonmatching grids for fluids Y Achdou, G Abdoulaev, JC Hontand, YA Kuznetsov, O Pironneau, ... Contemporary Mathematics 218, 3-22, 1998 | 27 | 1998 |
| Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations C Prud’homme, AT Patera Computing and Visualization in Science 6, 147-162, 2004 | 25 | 2004 |
| High order methods for the approximation of the incompressible navier–stokes equations in a moving domain G Pena, C Prud’homme, A Quarteroni Computer Methods in Applied Mechanics and Engineering 209, 197-211, 2012 | 24 | 2012 |