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Least‐squares spectral collocation method for the Stokes equations
Author(s) -
Kim Sang Dong,
Lee HyungChun,
Shin Byeong Chun
Publication year - 2004
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10085
Subject(s) - mathematics , legendre polynomials , spectral method , orthogonal collocation , mathematical analysis , chebyshev filter , collocation method , convergence (economics) , least squares function approximation , collocation (remote sensing) , differential equation , ordinary differential equation , statistics , remote sensing , estimator , geology , economic growth , economics
First‐order system least‐squares spectral collocation methods are presented for the Stokes equations by adopting the first‐order system and modifying the least‐squares functionals in 2. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product weighted norms. The spectral convergence is analyzed for the proposed methods with some numerical experiments. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 128–139, 2004