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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A spectral method for the Stokes problem in three-dimensional unbounded domains


Author: L. Halpern
Journal: Math. Comp. 70 (2001), 1417-1436
MSC (2000): Primary 35C10, 35G15, 65M70, 65T10
Published electronically: February 8, 2001
MathSciNet review: 1836911
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Abstract:

We present a method for solving the Stokes problem in unbounded domains. It relies on the coupling of the transparent boundary operator and a spectral method in spherical coordinates. It is done explicitly by the use of vector-valued spherical harmonics. A uniform inf-sup condition is proved, which provides an optimal error estimate.


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Additional Information

L. Halpern
Affiliation: LAGA, Institut Galilée, Université Paris 13, 93430 Villetaneuse, France
Email: halpern@yap.math.univ-paris13.fr

DOI: http://dx.doi.org/10.1090/S0025-5718-01-01269-8
PII: S 0025-5718(01)01269-8
Received by editor(s): March 18, 1999
Received by editor(s) in revised form: October 13, 1999
Published electronically: February 8, 2001
Article copyright: © Copyright 2001 American Mathematical Society