Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2023-03-09 DOI:10.1515/cmam-2022-0120

H. Gimperlein, E. Stephan

引用次数: 1

Abstract

Abstract This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for interface problems in nonlinear elasticity. It concerns 𝑝-Laplacian-type Hencky materials with an unbounded stress-strain relation, as they arise in the modelling of ice sheets, non-Newtonian fluids or porous media. We propose a functional analytic framework for the numerical analysis and obtain a priori and a posteriori error estimates for Galerkin approximations to the resulting boundary/domain variational inequality.

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奇异非线性传动与接触问题的有限元与边界元耦合

本文讨论了非线性弹性界面问题有限元与边界元耦合的适定性及误差分析。它涉及𝑝-Laplacian-type具有无界应力-应变关系的henky材料，因为它们出现在冰原，非牛顿流体或多孔介质的建模中。我们提出了一个泛函分析框架用于数值分析，并获得了对所得边界/域变分不等式的伽辽金近似的先验和后验误差估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.