TRANSPARENT BOUNDARY CONDITIONS FOR THE WAVE EQUATION WITH VARIABLE SPEED OF SOUND

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Abstract

A method of constructing a transparent boundary condition operator for a wave equation with variable sound velocity in a channel of rectangular cross section is proposed. A numerical example showing the performance of the proposed method is given. Properties of images of the convolution kernel functions of transparent boundary conditions are analyzed, a method of constructing their rational approximation is proposed, and its numerical convergence is shown.

About the authors

A. I Aptekarev

M.V. Keldysh Institute of Applied Mathematics; Lomonosov Moscow State University

Email: aptekaa@keldysh.ru
Moscow, Russia; Moscow, Russia

N. A Zaitsev

M.V. Keldysh Institute of Applied Mathematics; Lomonosov Moscow State University

Email: nikolai_zaitsev@mail.ru
Moscow, Russia; Moscow, Russia

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