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

Механико-математический факультет

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

Аннотация

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.

Язык оригинала	английский
Название основной публикации	Continuum Mechanics, Applied Mathematics and Scientific Computing
Подзаголовок основной публикации	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Издатель	Springer International Publishing AG
Страницы	243-251
Число страниц	9
ISBN (электронное издание)	9783030388706
ISBN (печатное издание)	9783030388690
DOI	https://doi.org/10.1007/978-3-030-38870-6_32
Состояние	Опубликовано - 3 апр. 2020

Предметные области OECD FOS+WOS

1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
1.01 МАТЕМАТИКА
2.05 ТЕХНОЛОГИЯ МАТЕРИАЛОВ

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

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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. стр. 243-251.

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

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New efficient preconditioner for Helmholtz equation

Аннотация

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