摘要
In this paper,a bilinear Petrov-Galerkin finite element method is introduced to solve the variable matrix coefficient elliptic equation with interfaces using nonbody-fitted grid.Different cases the interface cut the cell are discussed.The condition number of the large sparse linear system is studied.Numerical results demonstrate that the method is nearly second order accurate in the L^(∞)norm and L^(2) norm,and is first order accurate in the H^(1) norm.
基金
The author would like to thank the referees for the helpful suggestions.L.Shi’s research is supported by National Natural Science Foundation of China(No.11701569)
L.Wang’s research is supported by Science Foundation of China University of Petroleum-Beijing(No.2462015BJB05).S.Hou’s research is supported by Dr.Walter Koss Endowed Professorship.This professorship is made available through the State of Louisiana Board of Regents Support Funds.
