Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball
type: Item
instance of: scholarly article
title: Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball
zbMATH Open document ID: 1157.65058
author: Xin Li
published in: Advances in Computational Mathematics
publication date: 2008-12-16T00:00:00Z
review text: First of all the author introduces hyperinterpolation operators on a general domain and particularize them for 3D cubes and spheres. Then he provides convergence results for the method of fundamental solutions (MFS) applied to the Helmholtz equation. With these two ingredients he constructs particular solutions to modified Helmholtz equations and derives the rate of convergence of the MFS in solving non-homogeneous boundary value problems. Some numerical solutions are carried out in order to underline the efficiency of the method.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5382730
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: modified Helmholtz equations
zbMATH Keywords: hyperinterpolation
zbMATH Keywords: spherical harmonics
zbMATH Keywords: quadrature formulas
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: s10444-007-9056-1
OpenAlex ID: W1980703328
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DOI: 10.1007/S10444-007-9056-1
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description: scientific article; zbMATH DE number 5382730