Standard

An iterative solver for the 3D Helmholtz equation. / Belonosov, Mikhail; Dmitriev, Maxim; Kostin, Victor et al.

In: Journal of Computational Physics, Vol. 345, 15.09.2017, p. 330-344.

Research output: Contribution to journal › Article › peer-review

Harvard

Belonosov, M, Dmitriev, M, Kostin, V, Neklyudov, D & Tcheverda, V 2017, 'An iterative solver for the 3D Helmholtz equation', Journal of Computational Physics, vol. 345, pp. 330-344. https://doi.org/10.1016/j.jcp.2017.05.026

APA

Belonosov, M., Dmitriev, M., Kostin, V., Neklyudov, D., & Tcheverda, V. (2017). An iterative solver for the 3D Helmholtz equation. Journal of Computational Physics, 345, 330-344. https://doi.org/10.1016/j.jcp.2017.05.026

Vancouver

Belonosov M, Dmitriev M, Kostin V, Neklyudov D, Tcheverda V. An iterative solver for the 3D Helmholtz equation. Journal of Computational Physics. 2017 Sept 15;345:330-344. doi: 10.1016/j.jcp.2017.05.026

Author

Belonosov, Mikhail ; Dmitriev, Maxim ; Kostin, Victor et al. / An iterative solver for the 3D Helmholtz equation. In: Journal of Computational Physics. 2017 ; Vol. 345. pp. 330-344.

BibTeX

@article{3265fb1b77f24d448b831895841d490e,
title = "An iterative solver for the 3D Helmholtz equation",
abstract = "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.",
keywords = "Acoustics, Helmholtz equation, Iterative methods, Modeling, Preconditioning, DOMAIN, PERFECTLY MATCHED LAYER",
author = "Mikhail Belonosov and Maxim Dmitriev and Victor Kostin and Dmitry Neklyudov and Vladimir Tcheverda",
year = "2017",
month = sep,
day = "15",
doi = "10.1016/j.jcp.2017.05.026",
language = "English",
volume = "345",
pages = "330--344",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - An iterative solver for the 3D Helmholtz equation

AU - Belonosov, Mikhail

AU - Dmitriev, Maxim

AU - Kostin, Victor

AU - Neklyudov, Dmitry

AU - Tcheverda, Vladimir

PY - 2017/9/15

Y1 - 2017/9/15

N2 - 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.

AB - 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.

KW - Acoustics

KW - Helmholtz equation

KW - Iterative methods

KW - Modeling

KW - Preconditioning

KW - DOMAIN

KW - PERFECTLY MATCHED LAYER

UR - http://www.scopus.com/inward/record.url?scp=85020027257&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2017.05.026

DO - 10.1016/j.jcp.2017.05.026

M3 - Article

AN - SCOPUS:85020027257

VL - 345

SP - 330

EP - 344

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -

ID: 25775280