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Article Dans Une Revue Applied Mathematics Letters Année : 2022

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 = 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.

Dates et versions

hal-03927559 , version 1 (06-01-2023)

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Franz Chouly, Patrick Hild. On a finite element approximation for the elastoplastic torsion problem. Applied Mathematics Letters, 2022, 132, pp.108191. ⟨10.1016/j.aml.2022.108191⟩. ⟨hal-03927559⟩
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