Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
type: Item
instance of: scholarly article
title: Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
zbMATH Open document ID: 1241.65104
author: Pan Cheng
author: Jin Huang
published in: Numerical Algorithms
publication date: 2011-12-14T00:00:00Z
review text: The author studies the numerical solution for a two dimensional Laplace's equation subject to nonlinear boundary conditions. Based on potential theory, the problem is converted into a nonlinear integral equation. Mechanical quadrature methods are presented for solving the nonlinear boundary integral equation. A nonlinear system is obtained. Then the error is analyzed to obtain an asymptotic expansion and the Richardson extrapolation is used to achieve the accuracy order of \(O(h^5)\). The efficiency of the algorithms is illustrated by numerical examples.
reviewed by: Ariadna Lucia Pletea
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 5988295
zbMATH Keywords: Laplace's equation
zbMATH Keywords: mechanical quadrature method
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: extrapolation algorithm
zbMATH Keywords: error analysis
zbMATH Keywords: nonlinear integral equation
zbMATH Keywords: nonlinear boundary integral equation
zbMATH Keywords: Richardson extrapolation
zbMATH Keywords: algorithms
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s11075-011-9469-2
OpenAlex ID: W2025394962
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DOI: 10.1007/S11075-011-9469-2
description: scientific article; zbMATH DE number 5988295