TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS  

作　　者：Fang Liu Aihui Zhou 

机构地区：[1]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Journal of Computational Mathematics》2006年第3期373-392,共20页计算数学（英文）

基　　金：This work was supported by the National Natural Science Foundation of China （Grant No. 10425105） and subsidized by the Special Funds for Major State Basic Research Projects （Grant No. 2005CB321704）.

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.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.

关 键 词：Finite element Two-scale discretization Parallel computation Sparse grids. 

分 类 号：O241.82[理学—计算数学]