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Hessari, Peyman
School of Natural Science
Research Interests
  • Spectral Element Method
  • Finite Element Method
  • First Order System Least Squares Method
  • Interface Problem
  • Numerical Methods in Linear Algebra

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PSEUDOSPECTRAL LEAST SQUARES METHOD FOR STOKES-DARCY EQUATIONS

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Title
PSEUDOSPECTRAL LEAST SQUARES METHOD FOR STOKES-DARCY EQUATIONS
Author
Hessari, Peyman
Issue Date
2015-05
Publisher
SIAM PUBLICATIONS
Citation
SIAM JOURNAL ON NUMERICAL ANALYSIS, v.53, no.3, pp.1195 - 1213
Abstract
We investigate the first order system least squares Legendre and Chebyshev pseudospectral method for coupled Stokes-Darcy equations. A least squares functional is defined by summing up the weighted L-2-norm of residuals of the first order system for coupled Stokes-Darcy equations and that of Beavers-Joseph-Saffman interface conditions. Continuous and discrete homogeneous functionals are shown to be equivalent to a combination of weighted H(div) and H-1-norms for Stokes and Darcy equations. The spectral convergence for the Legendre and Chebyshev methods is derived. Some numerical experiments are demonstrated to validate our analysis
URI
https://scholarworks.unist.ac.kr/handle/201301/16605
URL
http://epubs.siam.org/doi/10.1137/140954350
DOI
10.1137/140954350
ISSN
0036-1429
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PHY_Journal Papers
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