Standard
New efficient preconditioner for Helmholtz equation. / Klyuchinskiy, Dmitriy; Kostin, Victor; Landa, Evgeny.
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. p. 243-251 (Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov).
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Harvard
Klyuchinskiy, D, Kostin, V & Landa, E 2020,
New efficient preconditioner for Helmholtz equation. in
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov, Springer International Publishing AG, pp. 243-251.
https://doi.org/10.1007/978-3-030-38870-6_32APA
Klyuchinskiy, D., Kostin, V., & Landa, E. (2020).
New efficient preconditioner for Helmholtz equation. In
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: Godunov's Legacy: A Liber Amicorum to Professor Godunov (pp. 243-251). (Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov). Springer International Publishing AG.
https://doi.org/10.1007/978-3-030-38870-6_32Vancouver
Klyuchinskiy D, Kostin V, Landa E.
New efficient preconditioner for Helmholtz equation. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG. 2020. p. 243-251. (Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov). doi: 10.1007/978-3-030-38870-6_32
Author
Klyuchinskiy, Dmitriy ; Kostin, Victor ; Landa, Evgeny. /
New efficient preconditioner for Helmholtz equation. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. pp. 243-251 (Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov).
BibTeX
@inbook{d2b95b762d164bc896be7c5bdc3fd6e1,
title = "New efficient preconditioner for Helmholtz equation",
abstract = "The capabilities of modern computers and mathematical software are entirely sufficient for the numerical solution of 2DPDEs. Two-dimensional problems naturally arise when the Fourier method is applied to a three-dimensional boundary value problem for PDEswith coefficients independent of one variable. Such specially constructed solvers can be used as preconditioners for iterative solvers of boundary value problems for PDEs with general case coefficients. In this paper, we develop the outlined above idea for the numerical solution of the Helmholtz equation.",
author = "Dmitriy Klyuchinskiy and Victor Kostin and Evgeny Landa",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",
year = "2020",
month = apr,
day = "3",
doi = "10.1007/978-3-030-38870-6_32",
language = "English",
isbn = "9783030388690",
series = "Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov",
publisher = "Springer International Publishing AG",
pages = "243--251",
booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov",
address = "Switzerland",
}
RIS
TY - CHAP
T1 - New efficient preconditioner for Helmholtz equation
AU - Klyuchinskiy, Dmitriy
AU - Kostin, Victor
AU - Landa, Evgeny
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2020.
PY - 2020/4/3
Y1 - 2020/4/3
N2 - The capabilities of modern computers and mathematical software are entirely sufficient for the numerical solution of 2DPDEs. Two-dimensional problems naturally arise when the Fourier method is applied to a three-dimensional boundary value problem for PDEswith coefficients independent of one variable. Such specially constructed solvers can be used as preconditioners for iterative solvers of boundary value problems for PDEs with general case coefficients. In this paper, we develop the outlined above idea for the numerical solution of the Helmholtz equation.
AB - The capabilities of modern computers and mathematical software are entirely sufficient for the numerical solution of 2DPDEs. Two-dimensional problems naturally arise when the Fourier method is applied to a three-dimensional boundary value problem for PDEswith coefficients independent of one variable. Such specially constructed solvers can be used as preconditioners for iterative solvers of boundary value problems for PDEs with general case coefficients. In this paper, we develop the outlined above idea for the numerical solution of the Helmholtz equation.
UR - http://www.scopus.com/inward/record.url?scp=85114658450&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/82462222-3d6b-333f-ba95-8f407560b135/
U2 - 10.1007/978-3-030-38870-6_32
DO - 10.1007/978-3-030-38870-6_32
M3 - Chapter
AN - SCOPUS:85114658450
SN - 9783030388690
T3 - Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov
SP - 243
EP - 251
BT - Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov
PB - Springer International Publishing AG
ER -
