Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains

Author(s): Laurence Halpern.
Journal: Math. Comp. 65 (1996), 507-531.
MSC (1991): Primary 35C10, 35G15, 65M70, 65T10
MathSciNet review: 1333315
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Abstract: We present spectral methods for solving the Stokes problem in a circular domain. Their main feature is the uniform inf-sup condition, which allows for optimal error estimates. We apply them to the resolution of exterior problems by coupling with the transparent boundary condition.

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