Adaptive Galerkin boundary element methods with panel clustering
type: Item
instance of: scholarly article
title: Adaptive Galerkin boundary element methods with panel clustering
zbMATH Open document ID: 1115.65123
author: Wolfgang Hackbusch
author: Boris N. Khoromskij
author: S. Sauter
published in: Numerische Mathematik
publication date: 2007-03-06T00:00:00Z
full work available at URL: 11-04.pdf
review text: The authors propose a boundary element method (BEM) for solving classical boundary integral equations on a surface that contains complicated geometric details and the data are given only up to some uncertainties. Typical applications are: the computation of the elastic behaviour of a plate or a body containing a large number of small cracks. The goal of the paper is to introduce the wire-basket boundary element method for the construction of the initial discretisation for such type of problems. The construction employs techniques such as mesh grading and variable polynomial degree vectors which are well known in the field of adaptive \(hp\)-BEM. The idea of the wire-basket BEM is the construction of the boundary element discretisation which contains only very few unknown and leads to a numerical solution which has accuracy with respect to the energy norm.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 5131237
zbMATH Keywords: boundary element method
zbMATH Keywords: wire-basket boundary element method
zbMATH Keywords: Galerkin discretisation
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: error evaluation
zbMATH Keywords: boundary integral equations
zbMATH Keywords: plate
zbMATH Keywords: cracks
zbMATH Keywords: mesh grading
reviewed by: Ariadna Lucia Pletea
MaRDI profile type: Publication
OpenAlex ID: W2095294521
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DOI: 10.1007/S00211-006-0047-9
description: scientific article; zbMATH DE number 5131237