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$\Gamma$-Limits of Galerkin Discretizations with Quadrature

By Christoph Ortner

Abstract

$\Gamma$-convergence techniques are used to obtain convergence results for Galerkin discretizations of minimization problems for general non-convex functionals on Sobolev spaces. Quadrature approximations to the integrals are analyzed in the case when the stored energy function is convex or polyconvex

Topics: Numerical analysis
Publisher: Unspecified
Year: 2004
OAI identifier: oai:generic.eprints.org:1157/core69

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