无穷凹角区域各向异性问题的自然边界元与有限元耦合法  

The Coupling of Natural Boundary Element Method and Finite Element Method for an Anisotropic Problem in an Infinite Domain with a Concave Angle

作　　者：陈亚军[1,2] 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,南京210046

出　　处：《应用数学学报》2010年第4期758-768,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10871100)资助项目

摘　　要：本文研究无穷凹角区域上一类各向异性问题的自然边界元与有限元耦合法.利用自然边界归化原理,获得圆弧或椭圆弧人工边界上的自然积分方程,给出了耦合的变分形式及其数值方法,以及逼近解的收敛性和误差估计,最后给出了数值例子,以示方法的可行性和有效性.In this paper,we investigate the coupling of natural boundary element method and finite element method for an anisotropic problem in an infinite domain with a concave angle.By the principle of the natural boundary reduction,we obtain the natural integral equation on circular arc and elliptical arc artificial boundaries,and give the coupled variational problem and its numerical method.Moreover,the convergence of the approximate solutions and their error estimates are obtained.Finally,some numerical examples are presented to show that our methods are effective.

关 键 词：无穷凹角区域 各向异性问题 自然边界归化 耦合法 

分 类 号：O242.21[理学—计算数学]