A spectral method for Stokes equations

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We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions. (C) 1999 Elsevier Science Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
1999-09
Language
English
Article Type
Article
Citation

APPLIED MATHEMATICS AND COMPUTATION, v.104, no.2-3, pp.131 - 151

ISSN
0096-3003
DOI
10.1016/S0096-3003(98)10062-0
URI
http://hdl.handle.net/10203/69115
Appears in Collection
RIMS Journal Papers
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