Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
type: Item
instance of: scholarly article
title: Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
zbMATH Open document ID: 0928.30005
DOI: 10.1016/S0377-0427(99)00067-9
author: N. Papamichael
author: Maria Irene Falcão
author: Nikos S. Stylianopoulos
published in: Journal of Computational and Applied Mathematics
publication date: 2000-01-09T00:00:00Z
review text: The authors continue their study of the domain decomposition method (DDM) to compute the conformal modulus \(m(Q)\) of a `long' quadrilateral \(Q\) by decomposing \(Q\) into a finite number of simpler quadrilaterals \(Q_j\), so that \(m(Q)\) is approximated by \(\Sigma m(Q_j)\). Instead of dividing \(Q\) by rectilinear crosscuts, the authors now propose to use curvilinear crosscuts whenever \(Q\) can be imbedded into a polygonal domain. Error estimates are given, and four numerical examples show that it is of advantage to use curvilinear crosscuts.
Mathematics Subject Classification ID: 30C30
zbMATH DE Number: 1334655
zbMATH Keywords: numerical conformal mapping
zbMATH Keywords: conformal modulus
reviewed by: Dieter Gaier
describes a project that uses: BKMPACK
describes a project that uses: SCPACK
describes a project that uses: CONFPACK
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00067-9
OpenAlex ID: W1993562984
description: scientific article; zbMATH DE number 1334655