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Numerical Solution for Elliptic Interface Problems Using SpectralElement Collocation Method
Joint Authors
Kim, Sang Dong
Hessari, Peyman
Shin, Byeong-Chun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The aim of this paper is to solve an elliptic interface problemwith 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 theGordon-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.
American Psychological Association (APA)
Hessari, Peyman& Kim, Sang Dong& Shin, Byeong-Chun. 2014. Numerical Solution for Elliptic Interface Problems Using SpectralElement Collocation Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033991
Modern Language Association (MLA)
Hessari, Peyman…[et al.]. Numerical Solution for Elliptic Interface Problems Using SpectralElement Collocation Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033991
American Medical Association (AMA)
Hessari, Peyman& Kim, Sang Dong& Shin, Byeong-Chun. Numerical Solution for Elliptic Interface Problems Using SpectralElement Collocation Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033991