求解二阶椭圆型偏微分方程的一种有限体积元格式  

A Finite Volume Element Scheme for Solving Second Order Elliptic Partial Differential Equations

作　　者：丰连海[1] 

机构地区：[1]中州大学基础部,郑州450005

出　　处：《工程数学学报》2002年第4期63-67,共5页Chinese Journal of Engineering Mathematics

摘　　要：针对二维二阶椭圆型偏微分方程边值问题提出了一种新型的有限体积元格式,证明了该格式按离散能量模具有二阶收敛精度,具体算例表明,该格式计算效果良好。This paper presents a kind of finite volume element scheme for two-dimensional second order elliptic partial differential equations with Dirichlet boundary condition and we prove that the scheme has second order convergence accuracy with respect to discrete energy norm. A numerical example shows that the method is effective.

关 键 词：二阶椭圆型偏微分方程 边值问题 有限体积元格式 误差估计 

分 类 号：O241.82[理学—计算数学]