On a finite element approximation for the elastoplastic torsion problem
Résumé
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 ≥ 2 we obtain a H1-error bound of order h for the solution. For a non convex domain we obtain an order h^3/4. This improves the existing bound of order h^1/2 .
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