A spectral method for the Stokes problem in three-dimensional unbounded domains (Q2723521)

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scientific article; zbMATH DE number 1614791
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A spectral method for the Stokes problem in three-dimensional unbounded domains
scientific article; zbMATH DE number 1614791

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    A spectral method for the Stokes problem in three-dimensional unbounded domains (English)
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    5 July 2001
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    vector-valued spherical harmonics
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    optimal error estimate
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    The author presents a method for solving the Stokes problem in an unbounded domain: the coupling of the transport boundary operator and a spectral method in spherical coordinates. It is an explicit method 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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