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二维Stokes问题的谱-τ逼近
引用本文:叶兴德.二维Stokes问题的谱-τ逼近[J].浙江大学学报(理学版),1992(3).
作者姓名:叶兴德
作者单位:杭州大学数学系
摘    要:文2]在假定二维Stokes问题的谱逼近问题之解存在的条件下,给出了解的收敛估计.本文首先给出这个谱-τ逼近问题解的存在唯一性证明,然后对2]的误差估计加以改进.

关 键 词:Stokes问题  谱-τ方法  误差估计

A Spectral Tau Approximation for the Stokes Problem in a two-dimensional Domain
Ye,Xingde.A Spectral Tau Approximation for the Stokes Problem in a two-dimensional Domain[J].Journal of Zhejiang University(Sciences Edition),1992(3).
Authors:Ye  Xingde
Institution:Department of Mathematics
Abstract:G. Sacchi Landriani 2] analysised the Spectral Tau method for the approximation of the Stokes problem on a square with Dirichlet boundary conditions. He gave some convergence estimates under the assumption that the solution of the spectral tau approximation problem of the two-dimensional Stokes problem exists. In this paper, we first prove the existence and uniqueness of the solution of this spectral tau approximation, then improve the error estimates in 2].
Keywords:Stokes problem  Spectral Tau method  error estimates
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