压电sigorini接触问题的误差估计

IF 2.3 4区工程技术 Q1 MATHEMATICS, APPLIED

Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik Pub Date : 2023-07-20 DOI:10.1002/zamm.202300112

Hamid El Khalfi, O. Baiz, H. Benaissa

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Error estimates of piezoelectric Signorini's contact problems

This paper deals with a study the linear finite element approximation of a piezoelectric Signorini's contact problem with and without friction. We derive error estimates that depend on the penalty parameter ε and the mesh size h. Moreover, under some regularities of the solution to the contact problems and some requirements on parameters ε and h, we provide results on the convergence rate of the finite element approximation of the penalized solution.

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来源期刊

Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 数学-力学

CiteScore

3.30

自引率

8.70%

发文量

199

审稿时长

3.0 months

期刊介绍： ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.