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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.
в: Сибирские электронные математические известия, Том 15, 01.01.2018, стр. 759-767.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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