A POSTERIORI ERROR ESTIMATION FOR STABILIZED MIXED APPROXIMATIONS OF THE STOKES EQUATIONS

被引：71
|
作者：
Kay, David [1 ]
Silvester, David [2 ]
机构：
[1] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
[2] Univ Manchester, Dept Math, Manchester M60 1QD, Lancs, England
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1999年 / 21卷 / 04期
关键词：
Stokes equations; mixed finite elements; error estimation; mesh refinement;
D O I：
10.1137/S1064827598333715
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The practical implementation of the lowest-order P-1-P-0 (linear velocity, constant pressure) finite element method for the steady-state incompressible (Navier-)Stokes equations is addressed in this work. Three different types of a posteriori error indicator are introduced and each is shown to be equivalent to the discretization error. Our numerical results show that these indicators can be used to drive an adaptive refinement process which is specially tailored to create grids which conform to the requirements of the local stabilization. It is also shown that the indicators provide an effective method for detecting local singularities in the flow solution.
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页码：1321 / 1336
页数：16
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