Local and parallel finite element algorithms based on two-grid discretizations
文献类型：期刊论文
| 作者 | Xu, JC; Zhou, AH |
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2000-07-01 |
| 卷号 | 69期号:231页码:881-909 |
| 关键词 | adaptive finite elements local a priori and a posteriori error estimates nonsymmetric parallel algorithm two-grid method |
| ISSN号 | 0025-5718 |
| 英文摘要 | A number of new local acid parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorithms are motivated by the observation that, for a solution to some elliptic problems, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. The theoretical tools for analyzing these methods are some local a priori and a posteriori estimates that are also obtained in this paper for finite element solutions on general shape-regular grids. Some numerical experiments are also presented to support the theory. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087661200001 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15207]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, JC |
| 作者单位 | 1.Penn State Univ, Dept Math, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, JC,Zhou, AH. Local and parallel finite element algorithms based on two-grid discretizations[J]. MATHEMATICS OF COMPUTATION,2000,69(231):881-909. |
| APA | Xu, JC,&Zhou, AH.(2000).Local and parallel finite element algorithms based on two-grid discretizations.MATHEMATICS OF COMPUTATION,69(231),881-909. |
| MLA | Xu, JC,et al."Local and parallel finite element algorithms based on two-grid discretizations".MATHEMATICS OF COMPUTATION 69.231(2000):881-909. |
入库方式： OAI收割
来源：数学与系统科学研究院
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