Numerical solution for elliptic interface problems using spectral element collocation method
type: Item
instance of: scholarly article
title: Numerical solution for elliptic interface problems using spectral element collocation method
zbMATH Open document ID: 1474.65458
DOI: 10.1155/2014/780769
author: Peyman Hessari
author: Sang Dong Kim
author: Byeong-Chun Shin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The aim of this paper is to solve an elliptic interface problem with a discontinuous coefficient and a singular source term by the spectral collocation method. First, we develop an algorithm for the elliptic interface problem defined in a rectangular domain with a line interface. By using the Gordon-Hall transformation, we generalize it to a domain with a curve boundary and a curve interface. The spectral element collocation method is then employed to complex geometries; that is, we decompose the domain into some nonoverlaping subdomains and the spectral collocation solution is sought in each subdomain. We give some numerical experiments to show efficiency of our algorithm and its spectral convergence.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7023047
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/780769
OpenAlex ID: W2082264926
Wikidata QID: Q59041368
cites work: Q3325362
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description: scientific article; zbMATH DE number 7023047