四边形剖分下的对称有限体积元格式  

A Symmetric Finite Volume Element Scheme under Quadrangle Grids

作　　者：聂存云[1] 谭敏[2] 李荣军[1] 

机构地区：[1]湖南工程学院数理系,湖南湘潭411104 [2]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《江西师范大学学报（自然科学版）》2005年第6期550-553,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：湖南省教育厅资助科研项目(05C581)

摘　　要：针对一类椭圆问题,在四边形剖分下,构造了一类保对称有限体积元格式,给出了其误差的H1模估计,数值实验验证了理论结果的正确性,其L2模也达到了饱和阶,该格式对非一致网格有好的收敛精度和稳定性.Aiming at a kind of selfadjoint elliptic problem, a preserving - symmetry finite volume element scheme on quadrangle partition grids is established in this paper, and error estimates in norm of it is displayed, furthermore the order of the error in is also saturated. Some numerical experiments verify the correctness of theoretic results, and show that it is adaptive for non - uniform grids about convergence and stability.

关 键 词：四边形剖分 保对称 有限体格元式 误差估计 

分 类 号：O241.82[理学—计算数学]