论文标题

有界域边界上的3维Helmholtz方程的辐射条件

Radiation condition for the 3-dimensional Helmholtz equation on the boundary of a bounded domain

论文作者

Gorin, Vladimir V.

论文摘要

在制定单色波散射的问题以及对helmholtz方程的溶液的数值模拟时,存在计算不便:计算是在有限散射区域的离散节点上进行的,而散射波的辐射条件的离散网格则是在散射波的辐射条件下进行的。克服这种不便会导致一种新型的边界条件:非局部边界条件(或第四种条件)。

In the formulation of the problem of scattering of monochromatic waves and the numerical simulation of the solution to the Helmholtz equation, there is a computational inconvenience: the calculation is performed on a finite grid of discretization nodes of the finite scattering region, while the radiation conditions for the scattered wave are formulated at the infinitely distant boundary. Overcoming this inconvenience leads to a new type of boundary condition: a nonlocal boundary condition (or condition of the 4th kind).

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