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Erschienen in:
2021 | OriginalPaper | Buchkapitel
Local Flux Reconstruction for a Frictionless Unilateral Contact Problem
verfasst von : Daniela Capatina, Robert Luce
Erschienen in: Numerical Mathematics and Advanced Applications ENUMATH 2019
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Abstract
We are interested in the a posteriori error analysis based on locally reconstructed fluxes for the 2D Signorini problem. We start from a P
1-conforming approximation where the contact condition is treated by means of a Nitsche method. We propose an extension of a general approach previously developed for the Laplace operator, allowing to obtain H(div)-conforming conservative fluxes by a local post-process. The reconstructed flux yields an a posteriori error indicator, which is completed by two additional terms taking into account the non-linear contact condition. We then prove the reliability of the indicator, without any additional assumption.