A Mimetic Discretization method for the linear elasticity problem in mixed weakly symmetric form is developed. The scheme is shown to converge linearly in the mesh size, independently of the incompressibility parameter λ, provided the discrete scalar product satisfies two given conditions. Finally, a family of algebraic scalar products which respect the above conditions is detailed.
Mots-clés : mimetic finite difference methods, linear elasticity, finite element methods, mixed formulation
@article{M2AN_2010__44_2_231_0,
author = {Beir\~ao Da Veiga, Lourenco},
title = {A mimetic discretization method for linear elasticity},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {231--250},
publisher = {EDP-Sciences},
volume = {44},
number = {2},
year = {2010},
doi = {10.1051/m2an/2010001},
mrnumber = {2655949},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2010001/}
}
TY - JOUR AU - Beirão Da Veiga, Lourenco TI - A mimetic discretization method for linear elasticity JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2010 SP - 231 EP - 250 VL - 44 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2010001/ DO - 10.1051/m2an/2010001 LA - en ID - M2AN_2010__44_2_231_0 ER -
%0 Journal Article %A Beirão Da Veiga, Lourenco %T A mimetic discretization method for linear elasticity %J ESAIM: Modélisation mathématique et analyse numérique %D 2010 %P 231-250 %V 44 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2010001/ %R 10.1051/m2an/2010001 %G en %F M2AN_2010__44_2_231_0
Beirão Da Veiga, Lourenco. A mimetic discretization method for linear elasticity. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 2, pp. 231-250. doi : 10.1051/m2an/2010001. http://www.numdam.org/articles/10.1051/m2an/2010001/
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