LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

被引：3
|
作者：
Zhang, Zhijuan [1 ]
Yu, Xijun [2 ]
Chang, Yanzhen [3 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
[3] Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 05期
基金：
中国国家自然科学基金;
关键词：
elliptic interface problem; minimal dissipation; local discontinuous Galerkin method; error estimates; ELEMENT METHOD;
D O I：
10.1016/S0252-9602(17)30088-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 L-2-norm for the solution and the flux are O(h(2)vertical bar logh vertical bar) and O(h vertical bar logh vertical bar(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.
引用
收藏
页码：1519 / 1535
页数：17
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