Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries
type: Item
instance of: scholarly article
title: Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries
zbMATH Open document ID: 1496.65234
author: Ming-Gong Lee
author: Liping Zhang
author: Zi-Cai Li
author: Hung-Tsai Huang
published in: Numerical Algorithms
publication date: 2022-03-16T00:00:00Z
review text: The stability analysis of the MFS approximation to the solution of Laplace's equation with Dirichlet boundary conditions for non-circular/non-elliptic pseudo-boundaries is investigated based on new techniques without employing circulant matrices. Bounds of the condition number of the resulting MFS system are derived, whilst exponential growth rates are also obtained. Numerical experiments are carried out to verify the stability analysis performed. Five types of pseudo-boundaries are also proposed in case of singular solutions.
Mathematics Subject Classification ID: 65N80
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 7490870
zbMATH Keywords: Laplace's equation
zbMATH Keywords: stability analysis
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: general pseudo-boundaries
zbMATH Keywords: selection of pseudo-boundaries
reviewed by: Liviu Marin
MaRDI profile type: Publication
full work available at URL: s11075-021-01150-5
OpenAlex ID: W3174754348
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DOI: 10.1007/S11075-021-01150-5
description: scientific article; zbMATH DE number 7490870