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Hessari, Peyman
School of Natural Science
Research Interests
  • Spectral Element Method

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Numerical solution for elliptic interface problems using spectral element collocation method

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Title
Numerical solution for elliptic interface problems using spectral element collocation method
Author
Hessari, PeymanKim, Sang DongShin, Byeong-Chun
Keywords
DISCONTINUOUS COEFFICIENTS; FORMULATION; SCHEMES
Issue Date
201406
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
ABSTRACT AND APPLIED ANALYSIS, v.2014, no., pp.780769 -
Abstract
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.
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DOI
http://dx.doi.org/10.1155/2014/780769
ISSN
1085-3375
Appears in Collections:
SNS_Journal Papers
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