Solution of helmholtz equation starting with the frequency independent Laplace's equation

T. Sarkar, M. S. Palma
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Abstract

A new boundary integral method for solving the general Helmholtz equation has been developed starting from the frequency independent Laplace's equation. The new formulation is based on the Method of Moments solution of Laplace's equation. The main feature of this new formulation is that the boundary conditions are satisfied independent of the region node discretizations. The numerical solution of the present method is compared with finite difference and finite element solutions.
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亥姆霍兹方程的解从与频率无关的拉普拉斯方程开始
从频率无关的拉普拉斯方程出发,提出了一种求解一般亥姆霍兹方程的边界积分方法。新公式是基于拉普拉斯方程的矩量法解的。该公式的主要特点是边界条件的满足与区域节点离散无关。将该方法的数值解与有限差分解和有限元解进行了比较。
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