An adaptation of the fast multipole method for evaluating layer potentials in two dimensions
type: Item
instance of: scholarly article
title: An adaptation of the fast multipole method for evaluating layer potentials in two dimensions
zbMATH Open document ID: 0853.65124
DOI: 10.1016/0898-1221(95)00181-W
author: A. McKenney
publication date: 1996-07-08T00:00:00Z
review text: This work presents the modifications necessary to make the two-dimensional fast multipole method useful for evaluating the fields produced by continuously distributed, rather than point, charges and dipoles. The resulting method: -- may also be used to compute Cauchy-form integrals, -- has the expected rates of convergence, -- is well suited to certain problems, which the usual method is ill-suited.
reviewed by: N. F. F. Ebecken
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 31A30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 878510
zbMATH Keywords: layer potentials
zbMATH Keywords: potential theory
zbMATH Keywords: boundary integrals
zbMATH Keywords: fast multipole method
zbMATH Keywords: Cauchy-form integrals
zbMATH Keywords: convergence
describes a project that uses: Fastcap
MaRDI profile type: Publication
cites work: Applications of analysis on nilpotent groups to partial differential equations
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cites work: Fast potential theory. II: Layer potentials and discrete sums
full work available at URL: 0898-1221(95)00181-w
OpenAlex ID: W2061336655
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 878510