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Christoph Ortner:

$\Gamma$-Limits of Galerkin Discretizations with Quadrature

$\Gamma$-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.