分层网格上扩散对流反应方程的双二次元逼近  

Biquadraic Element Approximation of Diffusion-Convection-Reaction Equation under Graded Meshes

作　　者：朱国庆[1] 李清善[1] 陈绍春[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《河南大学学报（自然科学版）》2007年第3期221-225,共5页Journal of Henan University:Natural Science

基　　金：国家自然科学基金资助项目(10471133;10590353)

摘　　要：针对对流占优的扩散对流反应方程,首先得到关于真解的一些新的高阶正则性估计.然后,考虑此方程在分层网格剖分上的双二次有限元逼近,在ε-加权H1-模意义下得到了至多相差一个关于摄动参数对数因子的拟最优阶收敛的误差估计.For a convection-dominated diffusion-convection-reaction equation, some new higher order regular estimates about its true solution are derived firstly. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi-optimal order error estimates in the ε^- weighted H^1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved.

关 键 词：扩散对流反应方程 分层网格 各向异性 有限元 

分 类 号：O241.81[理学—计算数学]