半线性Sobolev方程全离散格式的H^1-Galerkin混合有限元方法  

A Fully Dicrete H^1-Galerkin Mixed Finite Element Method for Semilinear Sobolev Equation

作　　者：曹京平[1] 李琳琳[1] 

机构地区：[1]内蒙古财经学院统计与数学学院,内蒙古呼和浩特010070

出　　处：《内蒙古财经学院学报（综合版）》2010年第6期135-137,共3页Journal of inner Mongolia finance and economics college

基　　金：内蒙古教育厅自然科学基金资助项目(NJzy08110)

摘　　要：利用H1-Galerkin混合有限元方法研究了一维半线性Sobolev方程,得到了全离散格式的最优阶误差估计,该方法的优点是不需验证LBB相容性条件.semilinear sobolev equations are studied by H1-Galerkin mixed finite element methods.Optimal order error estimates are obtained for the fully discrete solutions.The main feature of this method is that the approximations have the same rate convergence as in the classical mixed finite element methods without the LBB consistency conditions.

关 键 词：SOBOLEV方程 半线性 H1-Galerkin混合有限元方法 最优阶误差估计 

分 类 号：O241[理学—计算数学]