Franz Chouly, Patrick Hild:
On a finite element approximation for the elastoplastic torsion problem
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).