期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2012
卷号：2
期号：2
页码：143-155
DOI：10.4236/ajcm.2012.22020
出版社：Scientific Research Publishing
摘要：In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with elliptic artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation on elliptic artificial boundaries, the coupled variational problem and its numerical method. Moreover, the convergence and error estimate of the approximate solutions are obtained. Finally, some numerical examples are presented to illuminate the feasibility of the method.
关键词：Quasilinear Elliptic Equation; Elliptic Artificial Boundary; Natural Integral Equation
