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On the Coupled of NBEM and CFEM for an Anisotropic Quasilinear Problem in an Unbounded Domain with a Concave Angle
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, China
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, China
- 1 School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, China
- 2 School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, China
American Journal of Computational Mathematics·Volume 13 (2023)·Pages 185–198·Published 9 January 2023·DOI10.4236/ajcm.2023.131009
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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.
KeywordsAnisotropic Quasilinear ProblemCircular Arc BoundaryNatural Boundary ReductionError Estimates
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