半线性Sobolev方程的H^1-Galerkin混合有限元方法  

H^1-Galerkin Mixed Finite Elemen 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：《数学的实践与认识》2011年第22期237-241,共5页Mathematics in Practice and Theory

基　　金：内蒙古教育厅自然科学基金资助项目(NJZY11105)

摘　　要：利用H^1-Galerkin混合有限元方法研究了一维半线性Sobolev方程,得到了半离散解的最优阶误差估计,优点是不需验证LBB相容性条件.H^1-Galerkin mixed finite element methods are studied for semilinear sobolev equations. Optimal order error estimates are obtained for the semi-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 H^1-GALERKIN混合有限元方法 最优阶误差估计 

分 类 号：O241.82[理学—计算数学]