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

资源类型: 资源大小: 文档分类:数理科学和化学 上传者:邹杪

文档信息

【作者】 张运章  侯延仁  魏红波 

【关键词】conduction convection problem posteriori error analysis mixed finite element adaptive finite element least squares Galerkin/Petrov method 

【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.

【刊名】应用数学和力学(英文版)

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