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

## TL;DR

This paper develops a theoretical framework for approximating viscoelastic von Kármán plates using finite element methods, proving convergence of discretizations and demonstrating results through computational experiments.

## Contribution

It introduces an abstract convergence result for discretizations of metric gradient flows and applies it to finite element approximation of viscoelastic plates.

## Key findings

- Convergence of discretized schemes to curves of maximal slope.
- Successful finite element approximation of viscoelastic von Kármán plates.
- Computational experiments validate theoretical results.

## 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 K\'{a}rm\'{a}n plates. Computational experiments are provided, too.