A highly accurate regular domain collocation method for solving potential problems in the irregular doubly connected domains
type: Item
instance of: scholarly article
title: A highly accurate regular domain collocation method for solving potential problems in the irregular doubly connected domains
zbMATH Open document ID: 1407.65313
DOI: 10.1155/2014/397327
author: Zhao-Qing Wang
author: Yang Ping
author: Jian Jiang
author: Teng-Fei Ma
author: Shu-Chen Li
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Embedding the irregular doubly connected domain into an annular regular region, the unknown functions can be approximated by the barycentric Lagrange interpolation in the regular region. A highly accurate regular domain collocation method is proposed for solving potential problems on the irregular doubly connected domain in polar coordinate system. The formulations of regular domain collocation method are constructed by using barycentric Lagrange interpolation collocation method on the regular domain in polar coordinate system. The boundary conditions are discretized by barycentric Lagrange interpolation within the regular domain. An additional method is used to impose the boundary conditions. The least square method can be used to solve the overconstrained equations. The function values of points in the irregular doubly connected domain can be calculated by barycentric Lagrange interpolation within the regular domain. Some numerical examples demonstrate the effectiveness and accuracy of the presented method.
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 7016341
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/397327
OpenAlex ID: W2069994129
Wikidata QID: Q59065013
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description: scientific article; zbMATH DE number 7016341