New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators M Duarte, M Massot, S Descombes, C Tenaud, T Dumont, V Louvet, ... SIAM Journal on Scientific Computing 34 (1), A76-A104, 2012 | 64 | 2012 |
A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations M Duarte, Z Bonaventura, M Massot, A Bourdon, S Descombes, T Dumont Journal of Computational Physics 231 (3), 1002-1019, 2012 | 57 | 2012 |
Simulation of human ischemic stroke in realistic 3D geometry T Dumont, M Duarte, S Descombes, MA Dronne, M Massot, V Louvet Communications in Nonlinear Science and Numerical Simulation 18 (6), 1539-1557, 2013 | 36* | 2013 |
Time–space adaptive numerical methods for the simulation of combustion fronts M Duarte, S Descombes, C Tenaud, S Candel, M Massot Combustion and Flame 160 (6), 1083-1101, 2013 | 35 | 2013 |
Adaptive time splitting method for multi-scale evolutionary partial differential equations S Descombes, M Duarte, T Dumont, V Louvet, M Massot Confluentes Mathematici 3 (03), 413-443, 2011 | 35 | 2011 |
Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames S Descombes, M Duarte, T Dumont, F Laurent, V Louvet, M Massot SIAM Journal on Numerical Analysis 52 (3), 1311-1334, 2014 | 32 | 2014 |
Méthodes numériques adaptatives pour la simulation de la dynamique de fronts de réaction multi-échelles en temps et en espace M Duarte Ecole Centrale Paris, 2011 | 23* | 2011 |
A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations M Duarte, Z Bonaventura, M Massot, A Bourdon Journal of Computational Physics 289, 129-148, 2015 | 22 | 2015 |
Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies M Duarte, M Massot, S Descombes ESAIM: Mathematical Modelling and Numerical Analysis 45 (5), 825-852, 2011 | 19 | 2011 |
Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena S Descombes, M Duarte, M Massot Splitting Methods in Communication, Imaging, Science, and Engineering, 627-641, 2016 | 17 | 2016 |
Derivation of a merging condition for two interacting streamers in air Z Bonaventura, M Duarte, A Bourdon, M Massot Plasma Sources Science and Technology 21 (5), 052001, 2012 | 15 | 2012 |
Méthodes numériques adaptatives pour la simulation de la dynamique de fronts de réaction multi-échelles en temps et en espace M Duarte Matapli 98, 99-117, 2012 | 15 | 2012 |
A low Mach number model for moist atmospheric flows M Duarte, AS Almgren, JB Bell Journal of the Atmospheric Sciences 72 (4), 1605-1620, 2015 | 13 | 2015 |
A numerical study of methods for moist atmospheric flows: Compressible equations M Duarte, AS Almgren, K Balakrishnan, JB Bell, DM Romps Monthly Weather Review 142 (11), 4269-4283, 2014 | 11 | 2014 |
Tutorials on adaptive multiresolution for mesh refinement applied to fluid dynamics and reactive media problems C Tenaud, M Duarte ESAIM: Proceedings 34, 184-239, 2011 | 10 | 2011 |
Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures S Descombes, M Duarte, T Dumont, T Guillet, V Louvet, M Massot SMAI Journal of Computational Mathematics 3, 29-51, 2017 | 6 | 2017 |
High order implicit time integration schemes on multiresolution adaptive grids for stiff PDEs M Duarte, R Dobbins, M Smooke arXiv preprint arXiv:1604.00355, 2016 | 4 | 2016 |
High order schemes based on operator splitting and deferred corrections for stiff time dependent PDEs M Duarte, M Emmett arXiv preprint arXiv:1407.0195, 2014 | 4 | 2014 |
Adaptive time-space algorithms for the simulation of multi-scale reaction waves M Duarte, M Massot, S Descombes, T Dumont Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6 …, 2011 | 4 | 2011 |
A hybrid adaptive low-Mach-number/compressible method: Euler equations E Motheau, M Duarte, A Almgren, JB Bell Journal of Computational Physics 372, 1027-1047, 2018 | 3 | 2018 |