【摘要】 以Helmholtz方程为例研究一类椭圆边界各向异性外问题的自然边界元方法.通过自然边界归化,获得了该问题的自然积分方程和Poisson积分公式,给出自然积分方程的数值解法,最后给出数值例子以示文中方法的可行性与有效性.更多还原

【Abstract】 The natural boundary element method for an anisotropic problem of Helmholtz equation in an exterior elliptic domain is investigated. By the principle of natural boundary reduction, the natural integral equation and the Poisson integral formula of this problem are obtained, and a numerical method of the natural integral equation is discussed. Finally, some numerical examples are presented to demonstrate the performance of this method.更多还原