Analysis on a finite volume element method for Stokes problems

被引：0
作者：
Rui H.-X. [1 ]
机构：
[1] School of Mathematics and Systems Science, Shandong University
来源：
Acta Mathematicae Applicatae Sinica | 2005年 / 21卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Finite volume elements; Numerical analysis; Stokes problem;
D O I：
10.1007/s10255-005-0243-x
中图分类号：
学科分类号：
摘要：
Finite volume element method for the Stokes problem is considered. We use a conforming piecewise linear function on a fine grid for velocity and piecewise constant element on a coarse grid for pressure. For general triangulation we prove the equivalence of the finite volume element method and a saddle-point problem, the inf-sup condition and the uniqueness of the approximation solution. We also give the optimal order H1 norm error estimate. For two widely used dual meshes we give the L2 norm error estimates, which is optimal in one case and quasi-optimal in another case. Finally we give a numerical example. © Springer-Verlag 2005.
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页码：359 / 372
页数：13
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