On a finite element approximation for the elastoplastic torsion problem - Archive ouverte HAL Access content directly
Journal Articles Applied Mathematics Letters Year : 2022

On a finite element approximation for the elastoplastic torsion problem

Franz Chouly
Patrick Hild
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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 H1-error bound of order h for the solution. For a nonconvex domain, we obtain also an error estimate.
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Dates and versions

hal-03625283 , version 1 (30-03-2022)
hal-03625283 , version 2 (09-05-2022)

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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-03625283v2⟩
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