Two-scale sparse finite element approximations
文献类型：期刊论文
| 作者 | Liu Fang1; Zhu JinWei2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 59期号:4页码:789-808 |
| 关键词 | combination discretization eigenvalue finite element postprocessing two-scale |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-5064-7 |
| 英文摘要 | To reduce computational cost, we study some two-scale finite element approximations on sparse grids for elliptic partial differential equations of second order in a general setting. Over any tensor product domain Omega aS, R (d) with d = 2, 3, we construct the two-scale finite element approximations for both boundary value and eigenvalue problems by using a Boolean sum of some existing finite element approximations on a coarse grid and some univariate fine grids and hence they are cheaper approximations. As applications, we obtain some new efficient finite element discretizations for the two classes of problem: The new two-scale finite element approximation on a sparse grid not only has the less degrees of freedom but also achieves a good accuracy of approximation. |
| 资助项目 | National Natural Science Foundation of China[10971059] ; National Natural Science Foundation of China[11071265] ; National Natural Science Foundation of China[11171232] ; Funds for Creative Research Groups of China[11021101] ; National Basic Research Program of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; Program for Innovation Research in Central University of Finance and Economics |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000372159900013 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22317]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu Fang |
| 作者单位 | 1.Cent Univ Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Fang,Zhu JinWei. Two-scale sparse finite element approximations[J]. SCIENCE CHINA-MATHEMATICS,2016,59(4):789-808. |
| APA | Liu Fang,&Zhu JinWei.(2016).Two-scale sparse finite element approximations.SCIENCE CHINA-MATHEMATICS,59(4),789-808. |
| MLA | Liu Fang,et al."Two-scale sparse finite element approximations".SCIENCE CHINA-MATHEMATICS 59.4(2016):789-808. |
入库方式： OAI收割
来源：数学与系统科学研究院
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