Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM
文献类型:期刊论文
作者 | Hu, QY![]() |
刊名 | APPLIED NUMERICAL MATHEMATICS
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出版日期 | 2001-04-01 |
卷号 | 37期号:1-2页码:127-143 |
关键词 | natural boundary reduction composite grid error estimate iteration algorithm convergence rate |
ISSN号 | 0168-9274 |
英文摘要 | In this paper, based on the natural boundary reduction method advanced by Feng and Yu, we discuss a coupled FEM-BEM for Dirichlet exterior problems. In this method, the finite element grids consist of fine and coarse grids (i.e., composite grids), so that the singularity at the corner points can be handled conveniently by the fast adaptive composite grid method (FAC). We prove that the corresponding approximation has optimal error estimates. To solve the coupled system efficiently, we propose an iteration that combines FAC with classical steepest descent. We, show that this method converges with a rate that is bounded independent of the mesh sizes, (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000167595600007 |
出版者 | ELSEVIER SCIENCE BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16021] ![]() |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Hu, QY |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Hu, QY,Yu, DH. Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM[J]. APPLIED NUMERICAL MATHEMATICS,2001,37(1-2):127-143. |
APA | Hu, QY,&Yu, DH.(2001).Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM.APPLIED NUMERICAL MATHEMATICS,37(1-2),127-143. |
MLA | Hu, QY,et al."Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM".APPLIED NUMERICAL MATHEMATICS 37.1-2(2001):127-143. |
入库方式: OAI收割
来源:数学与系统科学研究院
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