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G. N. Gatica and G. C. Hsiao, “Boundary-Field Equation Methods for a Class of Nonlinear Problems, Pitman Research Notes in Mathematics Series 331,” Longman, Harlow, 1995.

has been cited by the following article:

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

  AUTHORS: Baoqing Liu, Qikui Du

  KEYWORDS: Quasilinear Elliptic Equation; Elliptic Artificial Boundary; Natural Integral Equation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.2, June 22, 2012

  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.