A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

被引：4
|
作者：
Wang, Liqun [1 ]
Hou, Songming [2 ]
Shi, Liwei [3 ]
Zhang, Ping [1 ]
机构：
[1] China Univ Petr, Coll Sci, Dept Math, Beijing 102249, Peoples R China
[2] Louisiana Tech Univ, Dept Math & Stat, Ruston, LA 71272 USA
[3] China Univ Polit Sci & Law, Dept Sci & Technol Teaching, Beijing 102249, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2019年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Petrov-Galerkin finite element method; jump condition; bilinear; IMMERSED BOUNDARY METHOD; INTERFACE PROBLEMS; NUMERICAL-METHOD; MATCHED INTERFACE; POISSONS-EQUATION; HIGHER-ORDER; CONVERGENCE; ACCURACY; SCHEMES; FLOW;
D O I：
10.4208/aamm.OA-2018-0099
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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-infinity norm and L-2 norm, and is first order accurate in the H-1 norm.
引用
收藏
页码：216 / 240
页数：25
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