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Numerical approximation of von K\'{a}rm\'{a}n viscoelastic plates

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arxiv 1904.01951 v4 pith:YNFPYNW7 submitted 2019-04-03 math.AP cs.NAmath.NA

classification math.APcs.NAmath.NA
keywords approximationconsiderdiscretizationsplatesviscoelasticabstractapplicationcomputational
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We consider metric gradient flows and their discretizations in time and space. We prove an abstract convergence result for time-space discretizations and identify their limits as curves of maximal slope. As an application, we consider a finite element approximation of a quasistatic evolution for viscoelastic von K\'{a}rm\'{a}n plates. Computational experiments are provided, too.

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