Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems

被引：0
|
作者：
Yun-zhang Zhang
Yan-ren Hou
Hong-bo Wei
机构：
[1] Xi’an Jiaotong University,School of Science
[2] Henan University of Science and Technology,School of Mathematics and Statistics
来源：
Applied Mathematics and Mechanics | 2011年 / 32卷
关键词：
conduction convection problem; posteriori error analysis; mixed finite element; adaptive finite element; least squares Galerkin/Petrov method; O175; O24; 65N15; 65N30; 65N50; 65Z05; 76M10;
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暂无
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学科分类号：
摘要：
An adaptive mixed least squares Galerkin/Petrov finite element method (FEM) is developed for stationary conduction convection problems. The mixed least squares Galerkin/Petrov FEM is consistent and stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. Using the general theory of Verfürth, the posteriori error estimates of the residual type are derived. Finally, numerical tests are presented to illustrate the effectiveness of the method.
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页码：1269 / 1286
页数：17
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