A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
نویسندگان
چکیده
A mixed spectral method is proposed and analyzed for the Stokes problem in a semi-infinite channel. The method is based on a generalized Galerkin approximation with Laguerre functions in the x direction and Legendre polynomials in the y direction. The well-posedness of this method is established by deriving a lower bound on the inf-sup constant. Numerical results indicate that the derived lower bound is sharp. Rigorous error analysis is also carried out.
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 47 شماره
صفحات -
تاریخ انتشار 2008