On the adaptive coupling of FEM and BEM in 2-d elasticity
type: Item
instance of: scholarly article
title: On the adaptive coupling of FEM and BEM in 2-d elasticity
zbMATH Open document ID: 0880.73062
author: C. Carstensen
author: Stefan A. Funken
author: Ernst P. Stephan
published in: Numerische Mathematik
publication date: 1997-08-18T00:00:00Z
review text: This paper concerns the combination of the finite element method (FEM) and the boundary element method (BEM) using the symmetric coupling. As a model problem in two dimensions, we consider the Hencky material in a bounded domain with Navier-Lamé differential equation in the unbounded complementary domain. Using some boundary integral operators, the problem is rewritten such that the Galerkin procedure leads to a FEM/BEM coupling and to quasi-optimally convergent discrete solutions. Beside this a priori information, we derive an a posteriori error estimate which allows (up to a constant factor) the error control in the energy norm.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1049542
zbMATH Keywords: singularities
zbMATH Keywords: symmetric coupling
zbMATH Keywords: Hencky material
zbMATH Keywords: Navier-Lamé differential equation
zbMATH Keywords: Galerkin procedure
zbMATH Keywords: quasi-optimally convergent discrete solutions
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: energy norm
MaRDI profile type: Publication
full work available at URL: s002110050283
OpenAlex ID: W2048771962
DOI: 10.1007/S002110050283
description: scientific article; zbMATH DE number 1049542