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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {44},
year = {2010},
pages = {231-250},
doi = {10.1051/m2an/2010001},
mrnumber = {2655949},
zbl = {pre05692905},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2010__44_2_231_0}
}
Beirão Da Veiga, Lourenco. A mimetic discretization method for linear elasticity. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 44 (2010) pp. 231-250. doi : 10.1051/m2an/2010001. http://gdmltest.u-ga.fr/item/M2AN_2010__44_2_231_0/
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