Abstract

In this paper, the natural boundary element method~(NBEM) for an anisotropic hyperbolic problem in an exterior elliptic domain is investigated. By the theory of the natural boundary reduction~(NBR), the natural integral equation~(NIE) and the Poisson integral formula of the problem considered are obtained, and the numerical method of the NIE is given. Finally, some numerical examples are presented to demonstrate the performance of the method in the paper.

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