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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 5–9
DOI: https://doi.org/10.31857/S2686954321050039 (Mi danma195) 		 
MATHEMATICS

Numerical study of the Zaremba problem

S. D. Algazin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954321050039
Abstract: We consider the eigenvalue problem for a two-dimensional Laplace operator with mixed boundary conditions (Zaremba problem), which (presumably) has a smooth solution inside the domain. Calculations show that the operator $-\Delta$ has a negative eigenvalue, i.e., it is not positive definite.
Keywords: numerical algorithms without saturation, Zaremba problem, eigenvalue problem with mixed boundary conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation АААА-А20-120011690132-4
This work was performed in the framework of the state assignment, project no. AAAA-A20-120011690132-4.
Presented: V. P. Maslov
Received: 29.03.2021
Revised: 29.03.2021
Accepted: 29.03.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 225–228
DOI: https://doi.org/10.1134/S1064562421050033
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. D. Algazin, “Numerical study of the Zaremba problem”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 5–9; Dokl. Math., 104:1 (2021), 225–228
Citation in format AMSBIB
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