Numerical approximation of von Kármán viscoelastic plates

Abstract

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 Kármán plates. Computational experiments are provided, too.

arXiv admin note: substantial text overlap with arXiv:1902.10037