非线性Sobolev方程Galerkin解法的后处理与超收敛  

THE POSTPROCESSING FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS

作　　者：张怀宇[1,2] 

机构地区：[1]山东大学数学与系统科学学院 [2]中科院软件研究所并行软件研究开发中心,北京,100080

出　　处：《系统科学与数学》1999年第2期225-229,共5页Journal of Systems Science and Mathematical Sciences

基　　金：国家教委博士点基金

摘　　要：研究非线性Sobolev方程Galerkin解法的后处理与超收敛．对半离散及全离散格式，证明了当有限元空间次数，r≥2时，有限元解经过后处理，H1-模和L2-模误差估计可分别提高一阶．The postprocessing for Galerkin methods for nonlinear Sobolev equations is studied in this paper.lt is proved that the estimates error in H1-and L2- norms after postprocessing can be improved by one order for both discrete and semi-discrete schemes as well as continuous time scheme has been proved when the degree of the standard finite element space is no less than two.

关 键 词：非线性 SOBOLEV方程 后处理 超收敛 GALERKIN法 

分 类 号：O241.82[理学—计算数学]