Mixed finite element methods with discontinuous pressures for the axisymmetric Stokes problem

被引：8
|
作者：
Ruas, V
机构：
[1] Univ Paris 06, Modelisat Mecan Lab, F-75252 Paris 05, France
[2] Univ St Etienne, Fac Sci & Tech, St Etienne, France
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 04期
关键词：
D O I：
10.1002/zamm.200310032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two methods for solving the Stokes system in the axisymmetric case are studied. Both are designed for the standard Galerkin formulation, and use discontinuous pressure spaces. The first method is a rectangular based Q(2)-P-1 method due to Fortin. The other one is the so-called Crouzeix-Raviart triangle. Both methods are proven to be second order convergent in the natural weighted Sobolev norms, for the system under consideration.
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页码：249 / 264
页数：16
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