A FINITE DIFFERENCE METHOD FOR TWO DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS WITH IMPERFECT CONTACT  

作　　者：Fujun Cao Dongfang Yuan Dongxu Jia Guangwei Yuan 

机构地区：[1]School of Science,Inner Mongolia University of Science and Technology,Baotou 014010,Inner Mongolia,China [2]School of Science,Tianjin University of Technology,Tianjin 300384,China [3]Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China

出　　处：《Journal of Computational Mathematics》2024年第5期1328-1355,共28页计算数学（英文）

基　　金：supported by the National Natural Science Foundation of China(Grants 12261067,12161067,12361088,62201298,12001015,51961031);the Inner Mongolia Autonomous Region"Youth Science and Technology Talents"support program(Grant NJYT20B15);the Inner Mongolia Scientific Fund Project(Grants 2020MS06010,2021LHMS01006,2022MS01008);by the Innovation fund project of Inner Mongolia University of science and technology-Excellent Youth Science Fund Project(Grant 2019YQL02).

摘　　要：In this paper two dimensional elliptic interface problem with imperfect contact is considered,which is featured by the implicit jump condition imposed on the imperfect contact interface,and the jumping quantity of the unknown is related to the flux across the interface.A finite difference method is constructed for the 2D elliptic interface problems with straight and curve interface shapes.Then,the stability and convergence analysis are given for the constructed scheme.Further,in particular case,it is proved to be monotone.Numerical examples for elliptic interface problems with straight and curve interface shapes are tested to verify the performance of the scheme.The numerical results demonstrate that it obtains approximately second-order accuracy for elliptic interface equations with implicit jump condition.

关 键 词：Finite difference method Elliptic interface problem Imperfect contact 

分 类 号：O241.82[理学—计算数学]