Article Dans Une Revue Applied Numerical Mathematics: an IMACS journal Année : 2013

On convergence of the penalty method for unilateral contact problems

Résumé

We present a convergence analysis of the penalty method applied to unilateral contact problems in two and three space dimensions. We first consider, under various regularity assumptions on the exact solution to the unilateral contact problem, the convergence of the continuous penalty solution as the penalty parameter $\varepsilon$ vanishes. Then, the analysis of the finite element discretized penalty method is carried out. Denoting by $h$ the discretization parameter, we show that the error terms we consider give the same estimates as in the case of the constrained problem when the penalty parameter is such that $\varepsilon = h$.

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hal-00688641 , version 1 (18-04-2012)

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Franz Chouly, Patrick Hild. On convergence of the penalty method for unilateral contact problems. Applied Numerical Mathematics: an IMACS journal, 2013, 65, pp.27-40. ⟨10.1016/j.apnum.2012.10.003⟩. ⟨hal-00688641⟩
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