Analysis of a full-discrete two-grid discontinuous Galerkin method for nonlinear parabolic equations

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成果类型：

期刊论文

作者：

Yang, Jiming;Zhou, Jing;Chen, Hongbin

通讯作者：

Yang, Jiming(yangjiminghnie@163.com)

作者机构：

[Zhou, Jing; Chen, Hongbin; Yang, Jiming] Cent South Univ Forestry & Technol, Coll Sci, Changsha 410004, Hunan, Peoples R China.

[Zhou, Jing] Hunan Inst Engn, Inst Higher Educ Res, Xiangtan 411104, Hunan, Peoples R China.

通讯机构：

[Jiming Yang] C

College of Science, Central South University of Forestry and Technology, Changsha, China

语种：

英文

关键词：

Two-grid;Discontinuous Galerkin method;Full discretization

期刊：

Computational and Applied Mathematics

ISSN：

2238-3603

年：

2023

卷：

期：

页码：

1-15

DOI：

10.1007/s40314-023-02297-8

基金类别：

This work was supported by project funded by Natural Science Foundation of Hunan Province (Grant No. 2020JJ4242, 2022JJ30996), Scientific Research Fund of Hunan Provincial Education Department (Grant No. 21C0585, 20B139).

机构署名：

本校为第一机构

院系归属：

理学院

摘要：

A full-discrete two-grid discontinuous Galerkin approximation for nonlinear parabolic problems is proposed. The L2-norm error analysis of the two-grid method is carried out. The analysis shows that our algorithm will achieve an asymptotically optimal approximation as long as mesh sizes satisfy h= O(H2) , where H and h are the size of the coarse mesh and the fine mesh, respectively. Numerical examples are presented to test the efficiency of our algorithm. © 2023, The Author(s) under exclusive licence to S...

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Analysis of a full-discrete two-grid discontinuous Galerkin method for nonlinear parabolic equations

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