Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems-Reference-Cited by-同舟云学术

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

Published:2023-03-09 Issue:2 Volume:23 Page:389-404
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Gimperlein Heiko¹,Stephan Ernst P.²

Affiliation:

1. Engineering Mathematics , University of Innsbruck , Technikerstraße 13, 6020 Innsbruck , Austria

2. Institute of Applied Mathematics , Leibniz University Hannover , 30167 Hannover , Germany

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2022-0120/pdf

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