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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Cantin, P., Hild, P. Error analysis of the compliance model for the Signorini problem. Calcolo 58, 32 (2021). https://doi.org/10.1007/s10092-021-00425-6
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DOI: https://doi.org/10.1007/s10092-021-00425-6