• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Xu, Fei (Xu, Fei.) | Huang, Qiumei (Huang, Qiumei.) (Scholars:黄秋梅) | Xie, Manting (Xie, Manting.)

Indexed by:

Scopus SCIE

Abstract:

This paper aims to introduce a novel adaptive multigrid method for the elasticity eigenvalue problem. Different from the developing adaptive algorithms for the elasticity eigenvalue problem, the proposed approach transforms the elasticity eigenvalue problem into a series of boundary value problems in the adaptive spaces and some small-scale elasticity eigenvalue problems in a low-dimensional space. As our algorithm avoids solving large-scale elasticity eigenvalue problems, which is time-consuming, and the boundary value problem can be solved efficiently by the adaptive multigrid method, our algorithm can evidently improve the overall solving efficiency for the elasticity eigenvalue problem. Meanwhile, we present a rigorous theoretical analysis of the convergence and optimal complexity. Finally, some numerical experiments are presented to validate the theoretical conclusions and verify the numerical efficiency of our approach.

Keyword:

Elasticity eigenvalue problem Adaptive multigrid method Convergence and optimal complexity Finite element method

Author Community:

  • [ 1 ] [Xu, Fei]Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Huang, Qiumei]Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Xie, Manting]Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

Reprint Author's Address:

Show more details

Related Keywords:

Related Article:

Source :

BIT NUMERICAL MATHEMATICS

ISSN: 0006-3835

Year: 2022

Issue: 4

Volume: 62

Page: 2005-2033

1 . 5

JCR@2022

1 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:20

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

Affiliated Colleges:

Online/Total:456/10586403
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.