Two-scale finite element discretizations for partial differential equations

被引：0
作者：
Liu, Fang [1 ]
Zhou, Aihui [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2006年 / 24卷 / 03期
关键词：
finite element; two-scale discretization; parallel computation; sparse grids;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale error resolution techniques, several two-scale finite element algorithms are proposed and analyzed. It is shown that this type of two-scale algorithms not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.
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页码：373 / 392
页数：20
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