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

Vladimir V. Gorin

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arXiv · 2202.05489

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

Vladimir V. Gorin

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Abstract

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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BibTeX RIS

Vladimir V. Gorin. 2022-02-11. Radiation condition for the 3-dimensional Helmholtz equation on the boundary of a bounded domain. https://arxiv.org/abs/2202.05489

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