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A spectral method for the Stokes problem in three-dimensional unbounded domains
Author(s):
L.
Halpern.
Journal:
Math. Comp.
70
(2001),
1417-1436.
MSC (2000):
Primary 35C10, 35G15, 65M70, 65T10
Posted:
February 8, 2001
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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:
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
Posted:
February 8, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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