On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains

Baoqing Liu, Qikui Du

Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing, China.
School of Mathematical Science, Nanjing Normal University, Nanjing, China.

DOI: 10.4236/ajcm.2012.22020                

Abstract

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.

Keywords

Quasilinear Elliptic Equation; Elliptic Artificial Boundary; Natural Integral Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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