@Article{AAMM-14-4,
author = {},
title = {Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2022},
volume = {14},
number = {4},
pages = {842--870},
abstract = {<p style="text-align: justify;">In this paper, we propose an immersed finite volume element method for solving the semi-linear elliptic interface problems with non-homogeneous jump conditions. Furthermore, two-grid techniques are used to improve the computational efficiency. In this way, we only need to solve a non-linear system on the coarse grid, and a linear system on the fine grid. Numerical results illustrate that the proposed method can solve the semi-linear elliptic interface problems efficiently. Approximate second-order accuracy for the solution in the $L^{\infty}$ norm can be obtained for the considered examples.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0339},
url = {https://global-sci.com/article/72922/two-grid-immersed-finite-volume-element-methods-for-semi-linear-elliptic-interface-problems-with-non-homogeneous-jump-conditions}
}