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

Author:

Chen, Fan (Chen, Fan.) | Yan, Erhankang (Yan, Erhankang.) | Zhou, Chenguang (Zhou, Chenguang.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we propose an augmented subspace method for solving semilinear parabolic equations based on the Symmetric Interior Penalty Discontinuous Galerkin (SIPDG) method. The main idea of this method is, at each time step, to convert the solution of the semilinear elliptic problem into the solution of the corresponding linear boundary value problem on the same-scale discontinuous finite element space and the solution of the semilinear elliptic problem on a newly defined low-dimensional augmented subspace. The prior error estimates are derived. Numerical experiments are conducted to confirm the theoretical conclusions and the computing efficiency of the proposed method.

Keyword:

symmetric interior penalty discontinuous Galerkin method Augmented subspace method semilinear parabolic problem prior error estimate

Author Community:

  • [ 1 ] [Chen, Fan]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Yan, Erhankang]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 3 ] [Zhou, Chenguang]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 4 ] [Chen, Fan]Zaozhuang Univ, Dept Math & Stat, Zaozhuang, Peoples R China

Reprint Author's Address:

  • [Zhou, Chenguang]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China;;

Show more details

Related Keywords:

Source :

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

ISSN: 0219-8762

Year: 2024

Issue: 02

Volume: 22

1 . 7 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

Affiliated Colleges:

Online/Total:482/10599070
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.