An iterative solver for the 3D Helmholtz equation


статья в журнале
Авторы: Belonosov M.     Dmitriev M.     Kostin V.   (ИНГГ СО РАН)   Neklyudov D.   (ИНГГ СО РАН)   Tcheverda V.   (ИНГГ СО РАН)  
дата публикации: 2017
реферат:
We develop a frequency-domain iterative solver for numerical simulation of acoustic waves in 3D heterogeneous media. It is based on the application of a unique preconditioner to the Helmholtz equation that ensures convergence for Krylov subspace iteration methods. Effective inversion of the preconditioner involves the Fast Fourier Transform (FFT) and numerical solution of a series of boundary value problems for ordinary differential equations. Matrix-by-vector multiplication for iterative inversion of the preconditioned matrix involves inversion of the preconditioner and pointwise multiplication of grid functions. Our solver has been verified by benchmarking against exact solutions and a time-domain solver.
первоисточник: Journal of Computational Physics
том:
страницы: 330-344
ISBN:
ISSN:
внешние ссылки:
WoS   WoS (цитирование)
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полный текст статьи

jcp-2017-345-330