Exact Artificial Boundary Conditions for Quasi-Linear Problems in Semi-Infinite Strips

被引：0
作者：
Chen, Yajun [1 ,2 ]
Du, Qikui [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai 200136, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
FEM-BEM FORMULATION; ELLIPTIC PROBLEM; APPROXIMATION; EQUATIONS;
D O I：
10.1155/2021/1660711
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the exact artificial boundary conditions for quasi-linear problems in semi-infinite strips are investigated. Based on the Kirchhoff transformation, the exact and approximate boundary conditions on a segment artificial boundary are derived. The error estimate for the finite element approximation with the artificial boundary condition is obtained. Some numerical examples show the efficiency of this method.
引用
收藏
页数：10
相关论文
共 26 条
[1]  
Chen C., 1992, BOUNDARY ELEMENT MET
[2]  
Chen YJ, 2018, ENG LET, V26
[3]   FINITE-ELEMENT ERROR-ESTIMATES FOR NON-LINEAR ELLIPTIC-EQUATIONS OF MONOTONE TYPE [J].
CHOW, SS .
NUMERISCHE MATHEMATIK, 1989, 54 (04) :373-393
[4]  
Feng K., 1983, P CHINA FRANCE S FIN
[5]  
Feng K., 1983, P INT C MATH AUG WAR
[6]   Convergence of an adaptive Kacanov FEM for quasi-linear problems [J].
Garau, Eduardo M. ;
Morin, Pedro ;
Zuppa, Carlos .
APPLIED NUMERICAL MATHEMATICS, 2011, 61 (04) :512-529
[7]   ON NONREFLECTING BOUNDARY-CONDITIONS [J].
GROTE, MJ ;
KELLER, JB .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 122 (02) :231-243
[8]  
Han H., 2009, ARTIFICIAL BOUNDARY
[9]  
HAN HD, 1985, J COMPUT MATH, V3, P179
[10]  
Han HD, 2008, COMMUN MATH SCI, V6, P71
123