Preprint 2022-23
Franz Chouly, Patrick Hild:
On a finite element approximation for the elastoplastic torsion problem
Abstract:
This study is concerned with the elastoplastic torsion problem and its standard finite element approximation using piecewise affine Lagrange finite elements. In the case of a polytopal convex domain in dimension n = 1, 2, 3 we obtain an $H^1$-error bound of order h for the solution. For a nonconvex domain, we obtain also an error estimate.
This preprint gave rise to the following definitive publication(s):
Franz CHOULY, Patrick HILD: On a finite element approximation for the elastoplastic torsion problem. Applied Mathematics Letters, vol. 132, paper no. 108191, (2022).