解一类半线性外边值问题的自然边界元与有限元耦合法  

THE COUPLING OF NATURAL BOUNDARY ELEMENT AND FINITE ELEMENT FOR SEMILINEAR BOUNDARY VALUE PROBLEMS

作　　者：吴正朋[1] 余德浩[1] 

机构地区：[1]中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京,100080

出　　处：《计算数学》2004年第2期237-246,共10页Mathematica Numerica Sinica

基　　金：国家重点基础研究专项经费(G19990328);国家广电总局科研基金(BG0103)资助项目.

摘　　要：In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O(hn). Finally, we also give two numerical examples.

关 键 词：有限元 自然边界元 GALERKIN逼近 耦合 

分 类 号：O241.82[理学—计算数学]