An algebraic multigrid method for finite element systems on criss-cross grids
文献类型：期刊论文
| 作者 | Shu, S; Xu, JC; Yang, Y; Yu, HY |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2006-07-01 |
| 卷号 | 25期号:1-3页码:287-304 |
| 关键词 | algebraic multigrid method finite element criss-cross grids convergence analysis |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-004-7627-y |
| 英文摘要 | In this paper, we design and analyze an algebraic multigrid method for a condensed finite element system on criss-cross grids and then provide a convergence analysis. Criss-cross grid finite element systems represent a large class of finite element systems that can be reduced to a smaller system by first eliminating certain degrees of freedoms. The algebraic multigrid method that we construct is analogous to many other algebraic multigrid methods for more complicated problems such as unstructured grids, but, because of the specialty of our problem, we are able to provide a rigorous convergence analysis to our algebraic multigrid method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238665700015 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2536]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Xiangtan Univ, Inst Computat & Appl Math, Xiangtan, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.Penn State Univ, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shu, S,Xu, JC,Yang, Y,et al. An algebraic multigrid method for finite element systems on criss-cross grids[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2006,25(1-3):287-304. |
| APA | Shu, S,Xu, JC,Yang, Y,&Yu, HY.(2006).An algebraic multigrid method for finite element systems on criss-cross grids.ADVANCES IN COMPUTATIONAL MATHEMATICS,25(1-3),287-304. |
| MLA | Shu, S,et al."An algebraic multigrid method for finite element systems on criss-cross grids".ADVANCES IN COMPUTATIONAL MATHEMATICS 25.1-3(2006):287-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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