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01-09-2021

Error analysis of the compliance model for the Signorini problem

Authors: Pierre Cantin, Patrick Hild

Published in: Calcolo | Issue 3/2021

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Abstract

The present paper is concerned with a class of penalized Signorini problems also called normal compliance models. These nonlinear models approximate the Signorini problem and are characterized both by a penalty parameter \(\varepsilon \) and by a “power parameter” \(\alpha \ge 1\), where \(\alpha = 1\) corresponds to the standard penalization. We choose a continuous conforming linear finite element approximation in space dimensions \(d=2,3\) and obtain \(L^2\)-error estimates under various assumptions which are discussed and analyzed.

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Title: Error analysis of the compliance model for the Signorini problem
Authors: Pierre Cantin
Patrick Hild
Publication date: 01-09-2021
Publisher: Springer International Publishing
Published in: Calcolo / Issue 3/2021
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-021-00425-6

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