二阶椭圆问题的一种两水平算法  

A Two-level Preconditioning Algorithm for the Second-order Elliptic Equation

作　　者：田蓓艺[1] 

机构地区：[1]南京晓庄学院信息工程学院,江苏南京210017

出　　处：《南京晓庄学院学报》2016年第6期13-17,共5页Journal of Nanjing Xiaozhuang University

摘　　要：该文构造一种Helmholtz方程Dirichlet问题的弱Galerkin方法的两水平预处理算法.首先给出问题的弱Galerkin离散方法,引入一种弱Galerkin离散方法的两水平加性Schwarz预优算子,构造网格转移算子,证明了预优算子的条件数是最优的.In this paper, we present a two-level additive Schwarz preconditioning algorithm for the weak Galerkin method of the second-order elliptic equation. In the discretization of Helmholtz equation, the weak Galerkin finite element is used, and a two-level additive Schwarz preconditioner and an intergrid transfer operator are proposed. It has been proved that the condition number of preconditioned problem is optimal by some operators.

关 键 词：弱Galerkin方法 两水平加性Schwarz预优算子 二阶椭圆问题 HELMHOLTZ方程 

分 类 号：O175.23[理学—数学]