New efficient preconditioner for Helmholtz equation

Dmitriy Klyuchinskiy; Victor Kostin; Evgeny Landa

doi:10.1007/978-3-030-38870-6_32

New efficient preconditioner for Helmholtz equation

Dmitriy Klyuchinskiy, Victor Kostin, Evgeny Landa

Department of Mechanics and Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

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.

Original language	English
Title of host publication	Continuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publication	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Publisher	Springer International Publishing AG
Pages	243-251
Number of pages	9
ISBN (Electronic)	9783030388706
ISBN (Print)	9783030388690
DOIs	https://doi.org/10.1007/978-3-030-38870-6_32
Publication status	Published - 3 Apr 2020

OECD FOS+WOS

1.03 PHYSICAL SCIENCES AND ASTRONOMY
1.01 MATHEMATICS
2.05 MATERIALS ENGINEERING

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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. Springer International Publishing AG, 2020. p. 243-251.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

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New efficient preconditioner for Helmholtz equation

Abstract

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