中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem

文献类型：期刊论文

作者Xie, Hehu1,2; Wu, Xinming3
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2017-08-01
卷号72期号:2页码:586-604
关键词Transmission eigenvalue problem Finite element method Error estimates Multilevel correction method
ISSN号0885-7474
DOI10.1007/s10915-017-0367-1
英文摘要In this paper, we give a numerical analysis for the transmission eigenvalue problem by the finite element method. A type of multilevel correction method is proposed to solve the transmission eigenvalue problem. The multilevel correction method can transform the transmission eigenvalue solving in the finest finite element space to a sequence of linear problems and some transmission eigenvalue solving in a very low dimensional spaces. Since the main computational work is to solve the sequence of linear problems, the multilevel correction method improves the overfull efficiency of the transmission eigenvalue solving. Some numerical examples are provided to validate the theoretical results and the efficiency of the proposed numerical scheme.
资助项目National Natural Science Foundations of China[NSFC 91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Natural Science Foundations of China[11031006] ; National Natural Science Foundations of China[2011CB309703] ; National Natural Science Foundations of China[11301089] ; Science Challenge Project[JCKY2016212A502] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000406014800006
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26136]  
专题计算数学与科学工程计算研究所
通讯作者Wu, Xinming
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式
GB/T 7714		 Xie, Hehu,Wu, Xinming. A Multilevel Correction Method for Interior Transmission Eigenvalue Problem[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,72(2):586-604.
APA Xie, Hehu,&Wu, Xinming.(2017).A Multilevel Correction Method for Interior Transmission Eigenvalue Problem.JOURNAL OF SCIENTIFIC COMPUTING,72(2),586-604.
MLA Xie, Hehu,et al."A Multilevel Correction Method for Interior Transmission Eigenvalue Problem".JOURNAL OF SCIENTIFIC COMPUTING 72.2(2017):586-604.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。