A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN
A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN
复制标题
轴对称域斯托克斯方程的截断傅立叶/有限元离散
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
F. Hecht
中科院分区：
文献类型：
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作者：
Z. Belhachmi;C. Bernardi;S. Deparis;F. Hecht
我们认为斯托克斯问题在一个三维轴对称域，并通过写的傅立叶展开其解决方案相对于角度变量，我们观察到，每个傅立叶系数满足一个系统的子午线域上的方程。我们提出了一个离散化的这个问题，它结合了傅立叶截断和有限元方法适用于每个二维系统。我们给出了详细的先验和后验分析的离散化，并提出了一些数值实验，这是很好的分析。
We consider the Stokes problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian domain. We propose a discretization of this problem which combines Fourier truncation and finite element methods applied to each of the two-dimensional systems. We give the detailed a priori and a posteriori analyses of the discretization and present some numerical experiments which are in good agreement with the analysis.