Liu, B. (2013) The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle. Journal of Computational Mathematics, 31,308-325.
https://doi.org/10.4208/jcm.1212-m3906

has been cited by the following article:

• TITLE: On the Coupled of NBEM and CFEM for an Anisotropic Quasilinear Problem in an Unbounded Domain with a Concave Angle

  AUTHORS: Mingyue Tu, Baoqing Liu

  KEYWORDS: Anisotropic Quasilinear Problem, Circular Arc Boundary, Natural Boundary Reduction, Error Estimates

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.1, March 31, 2023

  ABSTRACT: In this paper, based on the Kirchhoff transformation and the natural boundary element method, a coupled natural boundary element and curved edge finite element is applied to solve the anisotropic quasi-linear problem in an unbounded domain with a concave angle. By using the principle of the natural boundary reduction, we obtain the natural integral equation on the artificial boundary of circular arc boundary, and get the coupled variational problem and its numerical method. Then the error and convergence of coupling solution are analyzed. Finally, some numerical examples are verified to show the feasibility of our method.