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• W2072699232 abstract "We provide a proof of both the stability and the approximation property for the finite element approximations of the axisymmetric Stokes problem by continuous piecewise polynomials of degree $kappa+1$ for the velocity and continuous piecewise polynomials of degree $kappa$ for the pressure with any $kappageq1$. New techniques are designed so that in this perspective, by a simple transformation, the existing theory developed in three dimensional Cartesian coordinates can be effectively exploited. In fact, this perspective provides a new way of developing theories for the axisymmetric Stokes problems and it can be applied potentially to other problems as well. A simple illustration is provided for the application in the development and analysis of fast solvers for the resulting discrete saddle point problems. Sample numerical experiments have been presented as well to confirm the theoretical results." @default.
• W2072699232 created "2016-06-24" @default.
• W2072699232 creator A5029413421 @default.
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• W2072699232 date "2011-01-01" @default.
• W2072699232 modified "2023-09-25" @default.
• W2072699232 title "On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood–Taylor Elements" @default.
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• W2072699232 doi "https://doi.org/10.1137/100783339" @default.
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