A mortar element method for elliptic problems with discontinuous coefficients |
| |
| Authors: | Huang Jianguo; Zou Jun |
| |
| Institution: |
1 Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, Peoples Republic of China 2 Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
|
| |
| Abstract: | This paper proposes a mortar finite element method for solvingthe two-dimensional second-order elliptic problem with jumpsin coefficients across the interface between two subregions.Non-matching finite element grids are allowed on the interface,so independent triangulations can be used in different subregions.Explicitly realizable mortar conditions are introduced to couplethe individual discretizations. The same optimal L2-norm andenergy-norm error estimates as for regular problems are achievedwhen the interface is of arbitrary shape but smooth, thoughthe regularity of the true solution is low in the whole physicaldomain. |
| |
| Keywords: | Mortar element method jumps in coefficients mortar condition |
| 本文献已被 Oxford 等数据库收录！ |
|
