Poisson方程的组合杂交有限元方法  

Combined Hybrid Finite Element Methods for the Poisson Equation

作　　者：张一凡[1] 胡兵[1] 王柱[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2005年第3期467-470,共4页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10201025)

摘　　要：将能量优化思想应用到Poisson方程的一类边值问题数值求解中,得到一种组合杂交有限元计算格式.利用Wilson非协调位移和Taylor非协调位移构造了两组低阶四边形有限元.相应于双二次元Q2,计算量较小且精度接近.Applying the idea of energy optimization presented by Tian-xiao Zhou to solve the boundary value problem of Poisson equation, the authors present a combined hybrid finite element method, and construct two groups of low-order quadrilateral finite element by using Wilson non-conforming displacement and Taylor non-conforming displacement. Compared to biquadratic element (Q_2), these elements require less degrees of freedom, the computational precision proves to be better in rectangle partition.

关 键 词：组合杂交元 四边形有限元 能量优化 非协调Bubble 

分 类 号：O241.82[理学—计算数学]