A mixed-type finite element approximation for radiation problems using fictitious domain method
type: Item
instance of: scholarly article
title: A mixed-type finite element approximation for radiation problems using fictitious domain method
zbMATH Open document ID: 1029.65128
DOI: 10.1016/S0377-0427(02)00718-5
author: H. M. Nasir
author: Takashi Kako
author: Daisuke Koyama
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: This paper analyzes an approximation of a two-dimensional exterior Helmholtz problem. The approach combines: -- a mixed-type finite element approximation, -- with a fictitious domain method. The authors develop a careful study of the convergence of the solution and compare the performance with more classical approximation methods. Finally, some numerical examples illustrate the efficiency of this new methodology.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1912280
zbMATH Keywords: radiation
zbMATH Keywords: non-local operator
zbMATH Keywords: DtN mapping
zbMATH Keywords: artificial boundary condition
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: comparison of methods
zbMATH Keywords: mixed-type finite element
zbMATH Keywords: fictitious domain method
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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full work available at URL: s0377-0427(02)00718-5
OpenAlex ID: W2067597741
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description: scientific article; zbMATH DE number 1912280