LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

doi:10.1016/S0252-9602(17)30088-7

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1519-1535.doi: 10.1016/S0252-9602(17)30088-7

LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

张志娟¹, 蔚喜军², 常延贞³

1. Department of Mathematics, Nanchang University, Nanchang 330031, China;
2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
3. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

收稿日期:2015-08-05 修回日期:2017-02-20 出版日期:2017-10-25 发布日期:2017-10-25
通讯作者: Yanzhen CHANG,E-mail:changyz@mail.buct.edu.cn E-mail:changyz@mail.buct.edu.cn
作者简介:Zhijuan ZHANG,E-mail:zhangzhijuan@ncu.edu.cn;Xijun YU,E-mail:yuxj@iapcm.ac.cn
基金资助:
Supported by National Natural Science Foundation of China (11571002, 11461046), Natural Science Foundation of Jiangxi Province, China (20151BAB211013, 20161ACB21005), Science and Technology Project of Jiangxi Provincial Department of Education, China (150172), Science Foundation of China Academy of Engineering Physics (2015B0101021) and Defense Industrial Technology Development Program (B1520133015).

LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

Zhijuan ZHANG¹, Xijun YU², Yanzhen CHANG³

1. Department of Mathematics, Nanchang University, Nanchang 330031, China;
2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
3. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

Received:2015-08-05 Revised:2017-02-20 Online:2017-10-25 Published:2017-10-25
Contact: Yanzhen CHANG,E-mail:changyz@mail.buct.edu.cn E-mail:changyz@mail.buct.edu.cn
Supported by:
Supported by National Natural Science Foundation of China (11571002, 11461046), Natural Science Foundation of Jiangxi Province, China (20151BAB211013, 20161ACB21005), Science and Technology Project of Jiangxi Provincial Department of Education, China (150172), Science Foundation of China Academy of Engineering Physics (2015B0101021) and Defense Industrial Technology Development Program (B1520133015).

摘要/Abstract

摘要：

In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains. The interface may be arbitrary smooth curves. It is shown that the error estimates in L²-norm for the solution and the flux are O (h²|logh|) and O (h|logh|^1/2),respectively.In numerical experiments,the successive substitution iterative methods are used to solve the LDG schemes.Numerical results verify the efficiency and accuracy of the method.

关键词: elliptic interface problem, minimal dissipation, local discontinuous Galerkin method, error estimates

Abstract:

Key words: elliptic interface problem, minimal dissipation, local discontinuous Galerkin method, error estimates

张志娟, 蔚喜军, 常延贞. LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS[J]. 数学物理学报(英文版), 2017, 37(5): 1519-1535.

Zhijuan ZHANG, Xijun YU, Yanzhen CHANG. LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS[J]. Acta mathematica scientia,Series B, 2017, 37(5): 1519-1535.

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LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

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