LEAST-SQUARES MIXED FINITE ELEMENT METHODS FOR THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS

作     者：Shao-qinGao 

作者机构：ICMSECAcademyofMathematicsandSystemSciencesChineseAcademyofSciencesBeijing100080China//DepartmentofMathemaitcsHebeiUnviersityBaoding071002China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2005年第23卷第3期

页      面：327-336页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：The incompressible magnetohydrodynamic equation Vorticity Least-squares mixed finite element method 

摘      要：Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variables in order that the primal equations are transformed into the first-order systems. We show that there hold the coerciveness and the optimal error bound in appropriate norms for all variables under consideration, which can be approximated by all kinds of continuous element. Consequently, the Babuska-Brezzi condition(i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.