| TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS |
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| 作者姓名： | Fang Liu Aihui Zhou |
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| 作者单位： | Fang Liu;Aihui Zhou，LSEC，ICMSEC，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant No. 10425105)，subsidized by the Special Funds for Major State Basic Research Projects (Grant No. 2005CB321704) |
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| 摘 要： | Some two-scale finite element discretizations are introduced for a class of linear partialdifferential equations. Both boundary value and eigenvalue problems are studied. Basedon the two-scale error resolution techniques, several two-scale finite element algorithmsare proposed and analyzed. It is shown that this type of two-scale algorithms not onlysignificantly reduces the number of degrees of freedom but also produces very accurateapproximations.
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| 关 键 词： | 有限元 双刻度离散 平行估计 稀疏栅 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS |
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| Fang Liu Aihui Zhou.TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Computational Mathematics,2006,24(3):373-392. |
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| Authors: | Fang;Liu;Aihui;Zhou |
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| Abstract: | 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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| Keywords: | Finite element Two-scale discretization Parallel computation Sparse grids |
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