Sobolev方程的混合有限元法  

A semi-discrete mixed finite element method for Sobolev equation

作　　者：刘军[1,2] 胡兵[1] 王柱[1] 徐友才[1] 

机构地区：[1]四川大学数学学院,成都610064 [2]西安卫星测控中心,西安710043

出　　处：《四川大学学报（自然科学版）》2009年第2期297-301,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国农自然科学基金(10201025)

摘　　要：对Sobolev方程,作者构造了一组简单的低阶四边形混合元。结合半离散有限元计算格式,通过分析,作者改进了郑和胡的收敛性结果。与已有文献中的有限元相比,该元素计算自由度少,精度较高。数值实验也验证了方法的有效性。For the Sobolev equation, the authors construct a group of lower-order quadrilaterald mixed element by using the LBB condition, and obtain the more accurate error estimates connecting to the corresponding semi-discrete formulation, which imprwed the corresponding estimates of Zheng and Hu. Compared to the elements, the element requires less degrees of freedom, the computational precision proves to be better. The numerical results show that the methods are effective.

关 键 词：混合有限元法 SOBOLEV方程 半离散 误差估计 

分 类 号：O242.21[理学—计算数学]