an irregular grid for the numerical solution of linear elliptic partial differential equations
文献类型：期刊论文
| 作者 | Chen YR ; Sun JC |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005 |
| 卷号 | 166期号:1页码:84-94 |
| 关键词 | irregular grid elliptic PDEs condition number CG |
| ISSN号 | 0096-3003 |
| 学科主题 | Mathematics, Applied |
| 收录类别 | SCI ; SCIENCEDIRECT ; EI |
| 语种 | 英语 |
| 公开日期 | 2011-07-28 |
| 附注 | This paper first presents a symmetrically geometric proportion grid with respect to the boundary for linear elliptic partial differential equations with the homogeneous Dirichlet conditions. Then a symmetric scaling technique is proposed for the coefficient matrix derived from the second-order centered difference discretization on the irregular grid. It is proved that the condition number of the symmetrically scaled system is bounded by a constant independent of the matrix order for one-dimensional problem. The numerical results also indicate that the same conclusion holds for a two-dimensional problem. (c) 2004 Elsevier Inc. All rights reserved. |
| 源URL | [http://124.16.136.157/handle/311060/12516]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Chen YR,Sun JC. an irregular grid for the numerical solution of linear elliptic partial differential equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,166(1):84-94. |
| APA | Chen YR,&Sun JC.(2005).an irregular grid for the numerical solution of linear elliptic partial differential equations.APPLIED MATHEMATICS AND COMPUTATION,166(1),84-94. |
| MLA | Chen YR,et al."an irregular grid for the numerical solution of linear elliptic partial differential equations".APPLIED MATHEMATICS AND COMPUTATION 166.1(2005):84-94. |
入库方式： OAI收割
来源：软件研究所
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