LOCAL DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC INTERFACE PROBLEMS

作者：Zhang, Zhijuan; Yu, Xijun; Chang, Yanzhen^*

来源：Acta Mathematica Scientia, 2017, 37(5): 1519-1535.

DOI：10.1016/S0252-9602(17)30088-7

• elliptic interface problem
• minimal dissipation
• local discontinuous Galerkin method
• error estimates

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.

• 出版日期2017-9
• 单位北京应用物理与计算数学研究所; 南昌大学; 北京化工大学