Effective boundary conditions for laminar flows over periodic rough boundaries Y Achdou, O Pironneau, F Valentin Journal of Computational Physics 147 (1), 187-218, 1998 | 294 | 1998 |
On an improved unusual stabilized finite element method for the advective–reactive–diffusive equation LP Franca, F Valentin Computer Methods in Applied Mechanics and Engineering 190 (13-14), 1785-1800, 2000 | 253 | 2000 |
Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions LP Franca, AL Madureira, F Valentin Computer Methods in Applied Mechanics and Engineering 194 (27-29), 3006-3021, 2005 | 135 | 2005 |
Multiscale hybrid-mixed method R Araya, C Harder, D Paredes, F Valentin SIAM Journal on Numerical Analysis 51 (6), 3505-3531, 2013 | 128 | 2013 |
A family of multiscale hybrid-mixed finite element methods for the Darcy equation with rough coefficients C Harder, D Paredes, F Valentin Journal of Computational Physics 245, 107-130, 2013 | 126 | 2013 |
An unusual stabilized finite element method for a generalized Stokes problem GR Barrenechea, F Valentin Numerische Mathematik 92, 653-677, 2002 | 117 | 2002 |
Stabilized finite element methods based on multiscale enrichment for the Stokes problem R Araya, GR Barrenechea, F Valentin SIAM Journal on Numerical Analysis 44 (1), 322-348, 2006 | 100 | 2006 |
Rough boundaries and wall laws B Mohammadi, O Pironneau, F Valentin International journal for numerical methods in fluids 27 (14), 169-177, 1998 | 71 | 1998 |
A multiscale hybrid method for Darcy’s problems using mixed finite element local solvers O Duran, PRB Devloo, SM Gomes, F Valentin Computer methods in applied mechanics and engineering 354, 213-244, 2019 | 59 | 2019 |
On a multiscale hybrid-mixed method for advective-reactive dominated problems with heterogeneous coefficients C Harder, D Paredes, F Valentin Multiscale Modeling & Simulation 13 (2), 491-518, 2015 | 58 | 2015 |
Consistent local projection stabilized finite element methods GR Barrenechea, F Valentin SIAM journal on numerical analysis 48 (5), 1801-1825, 2010 | 52 | 2010 |
Convergence analysis of a multiscale finite element method for singularly perturbed problems LP Franca, AL Madureira, L Tobiska, F Valentin Multiscale Modeling & Simulation 4 (3), 839-866, 2005 | 50 | 2005 |
Asymptotics of the Poisson problem in domains with curved rough boundaries AL Madureira, F Valentin SIAM journal on mathematical analysis 38 (5), 1450-1473, 2007 | 49 | 2007 |
Constructing wall laws with domain decomposition or asymptotic expansion techniques Y Achdou, P Le Tallec, F Valentin, O Pironneau Computer methods in applied mechanics and engineering 151 (1-2), 215-232, 1998 | 49 | 1998 |
A Petrov–Galerkin enriched method: A mass conservative finite element method for the Darcy equation GR Barrenechea, LP Franca, F Valentin Computer Methods in Applied Mechanics and Engineering 196 (21-24), 2449-2464, 2007 | 44 | 2007 |
A hybrid-mixed method for elasticity C Harder, AL Madureira, F Valentin ESAIM: Mathematical Modelling and Numerical Analysis 50 (2), 311-336, 2016 | 41 | 2016 |
On the robustness of multiscale hybrid-mixed methods D Paredes, F Valentin, H Versieux Mathematics of Computation 86 (304), 525-548, 2017 | 39 | 2017 |
Enriched finite element methods for unsteady reaction–diffusion problems LP Franca, JVA Ramalho, F Valentin Communications in Numerical Methods in Engineering 22 (6), 619-625, 2006 | 36 | 2006 |
Multiscale and residual-free bubble functions for reaction-advection-diffusion problems L Franca, JVA Ramalho, F Valentin International Journal for Multiscale Computational Engineering 3 (3), 2005 | 36 | 2005 |
Multiscale hybrid-mixed method for the Stokes and Brinkman equations—the method R Araya, C Harder, AH Poza, F Valentin Computer Methods in Applied Mechanics and Engineering 324, 29-53, 2017 | 33 | 2017 |