具有长条型内边界外问题的耦合法  

The Coupling of NBE and FEM for 2D Exterior Harmonic Problems in an Elongated Domain

作　　者：黄红英[1] 朱昌杰[2] 杜其奎[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,江苏南京210097 [2]淮北煤炭师范学院人事处,安徽淮北235000

出　　处：《南京师大学报（自然科学版）》2005年第1期30-35,共6页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(No. 10471067);南京师范大学"十五""211"资助项目.

摘　　要：　本文以具有长条型内边界的二维调和外问题为例,研究一种带有椭圆人工边界的自然边界元与有限元耦合法,给出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,用该方法求解带长条型内边界的外问题是十分有效的.In this paper, the coupling method is discussed of nature boundary element and finite element method for solving 2D exterior harmonic problem with elliptic artificial boundary, 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：椭圆人工边界 自然边界元 耦合法 有限元 外问题 

分 类 号：O241.82[理学—计算数学]