Analysis of finite element methods for the Brinkman problem

被引:0
|
作者
Mika Juntunen
Rolf Stenberg
机构
[1] Helsinki University of Technology (TKK),Institute of Mathematics and Systems Analysis
来源
Calcolo | 2010年 / 47卷
关键词
Brinkman equation; Stokes equation; Darcy equation; Nitsche’s method; Mixed finite element methods; Stabilized methods; 65N30;
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摘要
The parameter dependent Brinkman problem, covering a field of problems from the Darcy equations to the Stokes problem, is studied. A mathematical framework is introduced for analyzing the problem. Using this uniform a priori and a posteriori estimates for two families of finite element methods are proved. Nitsche’s method for imposing boundary conditions is discussed.
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页码:129 / 147
页数:18
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