Galerkin-Petrov least squares mixed element method for stationary incompressible magnetohydrodynamics  

作　　者：罗振东 毛允魁 朱江 

机构地区：[1]School of Science,Beijing Jiaotong University [2]Institute of Atmospheric Physics,Chinese Academy of Sciences

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第3期395-404,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.10471100 and 40437017);the Science and Technology Foundation of Beijing Jiaotong University

摘　　要：The Galerkin-Petrov least squares method is combined with the mixed finite element method to deal with the stationary, incompressible magnetohydrodynamics system of equations with viscosity. A Galerkin-Petrov least squares mixed finite element format for the stationary incompressible magnetohydrodynamics equations is presented. And the existence and error estimates of its solution are derived. Through this method, the combination among the mixed finite element spaces does not demand the discrete Babuska-Brezzi stability conditions so that the mixed finite element spaces could be chosen arbitrartily and the error estimates with optimal order could be obtained.The Galerkin-Petrov least squares method is combined with the mixed finite element method to deal with the stationary, incompressible magnetohydrodynamics system of equations with viscosity. A Galerkin-Petrov least squares mixed finite element format for the stationary incompressible magnetohydrodynamics equations is presented. And the existence and error estimates of its solution are derived. Through this method, the combination among the mixed finite element spaces does not demand the discrete Babuska-Brezzi stability conditions so that the mixed finite element spaces could be chosen arbitrartily and the error estimates with optimal order could be obtained.

关 键 词：equation of magnetohydrodynamics mixed element method GalerkinPetrov least squares method error estimate 

分 类 号：O241.4[理学—计算数学]