凹角区域外问题基于椭圆弧人工边界的自然边界元与有限元耦合法  

ON THE COUPLED OF NATURAL BOUNDARY ELEMENT METHOD AND FINITE ELEMENT METHOD USING ELLIPTICAL ARC ARTIFICIAL BOUNDARY FOR EXTERIOR PROBLEMS WITH A CONCAVE ANGLE

作　　者：陈亚军[1] 杜其奎[2] 

机构地区：[1]上海海事大学高等技术学院,上海200136 [2]南京师范大学数学科学学院,南京210023

出　　处：《数值计算与计算机应用》2013年第4期305-311,共7页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(10871100);上海高校选拔培养优秀青年教师科研专项基金(shs10098)

摘　　要：本文以具有凹角长条型内边界的调和方程外问题为例,研究一种以椭圆弧为人工边界的自然边界元与有限元耦合法,给出了耦合变分问题的适定性及近似解的误差估计.理论分析及数值结果表明,用该方法求解带凹角长条型内边界的外问题是十分有效的.In this paper, we investigate the coupling of natural boundary element method and finite element method using elliptical arc artificial boundary for boundary value problem of harmonic equation in an infinite domain with a concave angle, existence and uniqueness are studied of the solution of variational problem with coupling method and error estimates is analyzed about the approximate solution. Theoretical analysis and numerical examples show that our method is very effective.

关 键 词：椭圆弧人工边界 自然边界元 有限元 耦合法 外问题 

分 类 号：O241.82[理学—计算数学]