Gypsilab is a Matlab framework which aims at simplifying the development of numerical methods that apply to the solution of problems in multiphysics, in particular, those involving FEM or BEM simulations. The peculiarities of the framework, with a focus on its ease of use, are shown together with the methodology that have been followed for its development. Example codes that are short though representative enough are given both for FEM and BEM applications. A performance comparison with FreeFem++ is provided, and a particular emphasis is made on problems in acoustics and electromagnetics solved using the BEM and for which compressed -matrices are used.
DOI: 10.5802/smai-jcm.36
Keywords: Finite Element Method, Boundary Element Method, $\protect \mathcal{H}$-matrices, Matlab
CC-BY-NC-ND 4.0
@article{SMAI-JCM_2018__4__297_0,
author = {Fran\c{c}ois Alouges and Matthieu Aussal},
title = {FEM and {BEM} simulations with the {Gypsilab} framework},
journal = {The SMAI Journal of computational mathematics},
pages = {297--318},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {4},
year = {2018},
doi = {10.5802/smai-jcm.36},
zbl = {1416.65429},
mrnumber = {3883671},
language = {en},
url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.36/}
}
TY - JOUR AU - François Alouges AU - Matthieu Aussal TI - FEM and BEM simulations with the Gypsilab framework JO - The SMAI Journal of computational mathematics PY - 2018 SP - 297 EP - 318 VL - 4 PB - Société de Mathématiques Appliquées et Industrielles UR - https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.36/ DO - 10.5802/smai-jcm.36 LA - en ID - SMAI-JCM_2018__4__297_0 ER -
%0 Journal Article %A François Alouges %A Matthieu Aussal %T FEM and BEM simulations with the Gypsilab framework %J The SMAI Journal of computational mathematics %D 2018 %P 297-318 %V 4 %I Société de Mathématiques Appliquées et Industrielles %U https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.36/ %R 10.5802/smai-jcm.36 %G en %F SMAI-JCM_2018__4__297_0
François Alouges; Matthieu Aussal. FEM and BEM simulations with the Gypsilab framework. The SMAI Journal of computational mathematics, Volume 4 (2018), pp. 297-318. doi : 10.5802/smai-jcm.36. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.36/
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