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.
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