Stochastic Galerkin methods for elliptic interface problems with random input
文献类型：期刊论文
| 作者 | Zhou, Tao
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 236期号:5页码:782-792 |
| 关键词 | Random Bi-orthogonal Interface Immersed finite element Convergence |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2011.05.033 |
| 英文摘要 | In this work, we consider random elliptic interface problems, namely, the media in elliptic equations have both randomness and interfaces. A Galerkin method using bi-orthogonal polynomials is used to convert the random problem into an uncoupled system of deterministic interface problems. A principle on how to choose the orders of the approximated polynomial spaces is given based on the sensitivity analysis in random spaces, with which the total degree of freedom can be significantly reduced. Then immersed finite element methods are introduced to solve the resulting system. Convergence results are given both theoretically and numerically. (C) 2011 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000297717100019 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11650]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhou, Tao |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Tao. Stochastic Galerkin methods for elliptic interface problems with random input[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,236(5):782-792. |
| APA | Zhou, Tao.(2011).Stochastic Galerkin methods for elliptic interface problems with random input.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,236(5),782-792. |
| MLA | Zhou, Tao."Stochastic Galerkin methods for elliptic interface problems with random input".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236.5(2011):782-792. |
入库方式： OAI收割
来源：数学与系统科学研究院
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