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On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes. / Anisimova, Anastasiya S.; Laevsky, Yuri M.

In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 759-767.

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

Harvard

Anisimova, AS & Laevsky, YM 2018, 'On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes', Сибирские электронные математические известия, vol. 15, pp. 759-767. https://doi.org/10.17377/semi.2018.15.061

APA

Anisimova, A. S., & Laevsky, Y. M. (2018). On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes. Сибирские электронные математические известия, 15, 759-767. https://doi.org/10.17377/semi.2018.15.061

Vancouver

Anisimova AS, Laevsky YM. On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes. Сибирские электронные математические известия. 2018 Jan 1;15:759-767. doi: 10.17377/semi.2018.15.061

Author

Anisimova, Anastasiya S. ; Laevsky, Yuri M. / On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes. In: Сибирские электронные математические известия. 2018 ; Vol. 15. pp. 759-767.

BibTeX

@article{8a294c080abe4cea80640877dd6616bf,
title = "On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes",
abstract = "The paper discusses the problem of numerical reflected waves when using difference schemes on strongly nonuniform grids for solution to the wave equation. The relationship between the amplitude of the reflected wave and the order of approximation on the interface of the transition from a coarse grid to a fine grid is shown. A simple modification of the difference scheme on the interface is proposed, which increases the order of approximation, and, as a consequence, reduces the amplitude of the reflected wave.",
keywords = "Compound scheme, Computational experiment, Difference scheme, Homogeneous scheme, Nonuniform mesh, Reflected wave, Step jump, Wave equation",
author = "Anisimova, {Anastasiya S.} and Laevsky, {Yuri M.}",
year = "2018",
month = jan,
day = "1",
doi = "10.17377/semi.2018.15.061",
language = "English",
volume = "15",
pages = "759--767",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes

AU - Anisimova, Anastasiya S.

AU - Laevsky, Yuri M.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The paper discusses the problem of numerical reflected waves when using difference schemes on strongly nonuniform grids for solution to the wave equation. The relationship between the amplitude of the reflected wave and the order of approximation on the interface of the transition from a coarse grid to a fine grid is shown. A simple modification of the difference scheme on the interface is proposed, which increases the order of approximation, and, as a consequence, reduces the amplitude of the reflected wave.

AB - The paper discusses the problem of numerical reflected waves when using difference schemes on strongly nonuniform grids for solution to the wave equation. The relationship between the amplitude of the reflected wave and the order of approximation on the interface of the transition from a coarse grid to a fine grid is shown. A simple modification of the difference scheme on the interface is proposed, which increases the order of approximation, and, as a consequence, reduces the amplitude of the reflected wave.

KW - Compound scheme

KW - Computational experiment

KW - Difference scheme

KW - Homogeneous scheme

KW - Nonuniform mesh

KW - Reflected wave

KW - Step jump

KW - Wave equation

UR - http://www.scopus.com/inward/record.url?scp=85074900668&partnerID=8YFLogxK

U2 - 10.17377/semi.2018.15.061

DO - 10.17377/semi.2018.15.061

M3 - Article

AN - SCOPUS:85074900668

VL - 15

SP - 759

EP - 767

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 22361271