后验Galerkin方法的实施算法  

An Algorithm for Practice of the Post Galerkin Method

作　　者：刘之行[1] 张引娣 黄艾香[1] 

机构地区：[1]西安交通大学

出　　处：《西安交通大学学报》2000年第2期100-103,共4页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金!资助项目 ( 1 9671 0 67);国家攀登计划资助项目

摘　　要：建立了在近似惯性流形基础上的后验Galerkin方法,比经典Galerkin方法逼近阶提高一倍,但需求解一个原有限元子空间的正交补空间上的线性问题.提出了一种实施算法,把问题的求解从正交补空间转化到普通有限元子空间,且公式简单,求解方便易行.依据这一方案研制了计算软件,数值模拟的结果表明。The post Galerkin method for an approximate inertial manifold doubles the convergence rate when compared with the standard Galerkin method. This is acccomplished by solving a linear problem in an orthocomplement space of the original finite element subspace. An algorithm is presented that trasforms the problem from the orthocomplement space to a general finite element subspace. The corresponding computing software has been developed. Numerical simulation shows that the post Galerkin method is very effective for improving the prescision of the approximate solution.

关 键 词：近似惯性流形 正交补空间 算法 后验Galerkin法 

分 类 号：O241.82[理学—计算数学]