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$\Gamma$-Limits of Galerkin Discretizations with Quadrature

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.

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Publication date:
2004-12-01
UUID:
uuid:bdb7fe9a-7c86-4be9-9212-153accd482b5
Local pid:
oai:eprints.maths.ox.ac.uk:1157
Deposit date:
2011-05-20

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