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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.
@article{M2AN_2010__44_2_231_0,
author = {Beir\~ao Da Veiga, Lourenco},
title = {A mimetic discretization method for linear elasticity},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {231--250},
publisher = {EDP-Sciences},
volume = {44},
number = {2},
year = {2010},
doi = {10.1051/m2an/2010001},
mrnumber = {2655949},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010001/}
}
TY - JOUR AU - Beirão Da Veiga, Lourenco TI - A mimetic discretization method for linear elasticity JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2010 SP - 231 EP - 250 VL - 44 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis %D 2010 %P 231-250 %V 44 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 2, pp. 231-250. doi: 10.1051/m2an/2010001
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