On the general boundary element method
type: Item
instance of: scholarly article
title: On the general boundary element method
zbMATH Open document ID: 0940.65141
DOI: 10.1016/S0955-7997(97)00108-2
published in: Engineering Analysis with Boundary Elements
publication date: 2000-07-10T00:00:00Z
review text: The author imbeds a two-dimensional nonlinear partial differential equation of elliptic type into a two-parameters family of homotopic equations. He builds up these families such that he can solve them through an iterative process containing only linear problems. At every iterative step he uses the traditional boundary element method. A mildly nonlinear elliptic Dirichlet problem is solved in order to justify the method considered. However, the pretended general theory remains at a rather experimental (unproved) level.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1389932
zbMATH Keywords: mildly nonlinear elliptic Dirichlet problem
zbMATH Keywords: multiparameter homotopy
zbMATH Keywords: boundary element method
author: Shijun Liao
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
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full work available at URL: s0955-7997(97)00108-2
OpenAlex ID: W2004756334
description: scientific article; zbMATH DE number 1389932