Grid generation in two dimensions using the complex variable boundary element method
type: Item
instance of: scholarly article
title: Grid generation in two dimensions using the complex variable boundary element method
zbMATH Open document ID: 0853.65126
DOI: 10.1016/0307-904X(95)00008-8
author: Yanyan Li
published in: Applied Mathematical Modelling
publication date: 1996-12-08T00:00:00Z
review text: This paper uses an iterative variation of the linear element complex variable boundary element method to generate grid points in two-dimensional simply connected spatial domains. The solution of Laplace's equation is involved, but the boundary element formulation results in a much smaller set of simultaneous equations and the internal grid point distribution can be altered without resolving the elliptic system once the values of the complex potential at the boundaries are fully determined. Moreover, numerical integration is avoided by using complex variables in the formulation. Examples are given to demonstrate the method.
reviewed by: Quancai Duan
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 811401
zbMATH Keywords: numerical grid generation
zbMATH Keywords: complex variable boundary element method
zbMATH Keywords: Laplace's equation
MaRDI profile type: Publication
cites work: Q3686255
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full work available at URL: 0307-904x(95)00008-8
OpenAlex ID: W1982851980
description: scientific article; zbMATH DE number 811401