Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions  

作　　者：Quanxiang Wang Liqun Wang Jianqiang Xie 

机构地区：[1]College of Science,Nanjing Agricultural University,Nanjing 210095,China [2]College of Science,China University of Petroleum-Beijing,Beijing 102249,China [3]School of Mathematical Sciences,Anhui University,Hefei 230601,China

出　　处：《Advances in Applied Mathematics and Mechanics》2022年第4期842-870,共29页应用数学与力学进展（英文）

基　　金：supported by the National Natural Science Foundation of China Nos.11701283,12171482;the Fundamental Research Funds for the Central Universities No.KJQN201839;Science Foundation of China University of Petroleum(Beijing)No.2462020XKJS02.

摘　　要：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 secondorder accuracy for the solution in the L¥norm can be obtained for the considered examples.

关 键 词：Two-grid immersed finite volume element Cartesian mesh SEMI-LINEAR NONHOMOGENEOUS 

分 类 号：O241.82[理学—计算数学]