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作者:

Xu, Fei (Xu, Fei.) | Huang, Qiumei (Huang, Qiumei.) (学者:黄秋梅) | Yang, Huiting (Yang, Huiting.) | Ma, Hongkun (Ma, Hongkun.)

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SCIE

摘要:

In this study, a multilevel correction-type goal-oriented adaptive finite element method is designed for semilinear elliptic equations. Concurrently, the corresponding convergence property is theoretically proved. In the novel goal-oriented adaptive finite element method, only a linearized primal equation and a linearized dual equation are required to be solved in each adaptive finite element space. To ensure convergence, the approximate solution of the primal equation was corrected by solving a small-scale semilinear elliptic equation after the central solving process in each adaptive finite element space. Since solving of the large-scale semilinear elliptic equations is avoided and the goal-oriented technique is absorbed, there has been a significant improvement in the solving efficiency for the goal functional of semilinear elliptic equations. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

关键词:

Adaptive finite element method Convergence Goal-oriented Multilevel correction method

作者机构:

  • [ 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 ] [Yang, Huiting]Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 4 ] [Ma, Hongkun]Zhuhai Huafa Investment Holdings Grp Co Ltd, Hengqin 519000, Peoples R China
  • [ 5 ] [Ma, Hongkun]Sun Yat Sen Univ, Business Sch, Guangzhou 510275, Peoples R China

通讯作者信息:

  • [Ma, Hongkun]Zhuhai Huafa Investment Holdings Grp Co Ltd, Hengqin 519000, Peoples R China

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来源 :

APPLIED NUMERICAL MATHEMATICS

ISSN: 0168-9274

年份: 2022

卷: 172

页码: 224-241

2 . 8

JCR@2022

2 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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