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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 problemin mixed weakly symmetric form is developed. The scheme is shown toconverge linearly in the mesh size, independently of theincompressibility parameter λ, provided the discrete scalarproduct satisfies two given conditions. Finally, a family ofalgebraic scalar products which respect the above conditions isdetailed.

Keywords

Mimetic finite difference methodslinearelasticityfinite 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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