基于保积分算子的一类对称有限体元格式  

A Symmetric Finite Volume Element Scheme Based on a Preserving-integral Operator

作　　者：聂存云[1] 李荣军[1] 谭敏[2] 

机构地区：[1]湖南工程学院数理系,湖南湘潭411105 [2]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《河南师范大学学报（自然科学版）》2008年第3期13-16,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：湖南省教育厅科研资助项目(05C581)

摘　　要：针对一类自共轭椭圆问题,在四边形剖分下,利用一类保积分算子,选取一种特殊的控制体和线性有限元空间,构造了一类对称有限体元格式,并给出其误差的L2模、H1模和L∞模估计,数值实验验证了理论结果的正确性.Based on a preserving-integral operator, by choosing a special control volume and linear finite element space under quadrilateral grids, a symmetric finite volume scheme for a self-adjoint elliptic boundary value problem is presented in this paper. Error estimates in L^2 -norm, H^1 -norm, and L^∞ -norm are displayed. Some numerical examples are reported to verify the correctness of the results in theory.

关 键 词：四边形剖分 保积分算子 对称有限体元格式 误差估计 

分 类 号：O242.21[理学—计算数学]