半线性两点边值问题有限元强超收敛性(英文)  

Ultraconvergence of Finite Element Method for Semilinear Two-point Boundary Problem

作　　者：熊之光[1] 陈荣华[1] 

机构地区：[1]湖南科技大学数学与软件研究所

出　　处：《工程数学学报》2005年第4期719-724,共6页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(1999032804).

摘　　要：通过单元正交展开的余项中添加若干待定的低次项,得到所需的超接近于有限元解的逼近函数, 由此导出了一类非线性两点边值问题的强超收敛性。最后给出了一个数例验证了这一结论。Some lower degree terms are added to the remainder of orthogonal expansion in an element so that we can get the desired superclose to the finite element solution. We then obtain the ultraconvergence for a class of semilinear two-point boundary problem. Finally the result is tested by a numerical example.

关 键 词：半线性两点边值问题 有限元方法 待定低次项 强超收敛 

分 类 号：O242.21[理学—计算数学]