解二维Poisson方程离散化线性方程组的新型二次PEk方法  

A new quadratic PE_k method for solving linear algebraic equations derived from discretizing two-dimensional Poisson equation

作　　者：刘丽华[1] 

机构地区：[1]广西科技大学理学院,广西柳州545006

出　　处：《广西科技大学学报》2016年第2期100-103,共4页Journal of Guangxi University of Science and Technology

基　　金：广西高校科学技术研究项目(KY2015LX177;YB2014203);广西科技大学科学基金项目(校科自1419204)资助

摘　　要：建立求解二维Poisson方程边值问题离散得到的大型块三对角线性代数方程组的新型二次PE_k方法.验证了系数矩阵为M-矩阵的情形,证明了该问题利用新型二次PE_k方法的可行性,最后用数值例子说明.In this paper, we propose the new quadratic PE~ method for solving a system of large scale linear algebraic equations with block-tridiagonal matrix derived from discretizing two-dimensional Poisson equation. The condition that the coefficient matrix is M-matrix is verified, and the feasibility of the new method is proved, finally a numerical example is given to show that.

关 键 词：二维Poisson方程 离散化线性方程组 新型二次PE%方法 块三对角矩阵 

分 类 号：O151[理学—数学]