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A mimetic discretization method for linear elasticity

Published online by Cambridge University Press:  27 January 2010

Lourenco Beirão Da Veiga
Lourenco Beirão Da Veiga*
Affiliation:
Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy. lourenco.beirao@unimi.it
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Abstract

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.

Keywords

Mimetic finite difference methodslinear elasticityfinite element methodsmixed formulation
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 2 , March 2010 , pp. 231 - 250
Copyright
© EDP Sciences, SMAI, 2010

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