二阶椭圆问题两种新的矩形混合元格式  

TWO NEW RECTANGLE MIXED ELEMENT SCHEMES FOR SECOND ORDER ELLIPTIC PROBLEM

作　　者：陈红如[1] 陈绍春[1] 

机构地区：[1]郑州大学数学系,郑州450001

出　　处：《高等学校计算数学学报》2013年第1期85-96,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11071226;11126271)

摘　　要：考虑Poisson方程的第一齐边值问题：In this paper, based on a new mixed variational form for second order elliptic problem, we present two new solving schemes which satisfy strongly elliptic condition and B-B condition. Theoretical analysis shows that the two schemes are simple and convenient, and the optimal error estimates on the anisotropic meshes are obtained.

关 键 词：二阶椭圆问题 混合元 POISSON方程 矩形 边值问题 

分 类 号：O241.5[理学—计算数学] O242.21[理学—数学]