Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems
文献类型：期刊论文
| 作者 | Xu, JC; Zhou, AH |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2001-05-01 |
| 卷号 | 14期号:4页码:293-327 |
| 关键词 | adaptive finite elements local a priori and a posteriori error estimates nonlinear parallel algorithm two-grid method |
| ISSN号 | 1019-7168 |
| 英文摘要 | In this paper, some local and parallel discretizations and adaptive finite element algorithms are proposed and analyzed for nonlinear elliptic boundary value problems in both two and three dimensions. The main technique is to use a standard finite element discretization on a coarse grid to approximate low frequencies and then to apply some linearized discretization on a fine grid to correct the resulted residual (which contains mostly high frequencies) by some local/parallel procedures. The theoretical tools for analyzing these methods are some local a priori and a posteriori error estimates for finite element solutions on general shape-regular grids that are also obtained in this paper. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000172539800001 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16842]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Penn State Univ, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & 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 for nonlinear problems[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2001,14(4):293-327. |
| APA | Xu, JC,&Zhou, AH.(2001).Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems.ADVANCES IN COMPUTATIONAL MATHEMATICS,14(4),293-327. |
| MLA | Xu, JC,et al."Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems".ADVANCES IN COMPUTATIONAL MATHEMATICS 14.4(2001):293-327. |
入库方式： OAI收割
来源：数学与系统科学研究院
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