S. N. Leora, S. A. Nazarov, A. V. Proskura, “Derivation of limit functions for elliptic problems in thin domains using a computer”, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986), 1032–1048; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 47

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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1986, Volume 26, Number 7, Pages 1032–1048 (Mi zvmmf3973)

This article is cited in 9 scientific papers (total in 9 papers)

Derivation of limit functions for elliptic problems in thin domains using a computer

S. N. Leora, S. A. Nazarov, A. V. Proskura

Leningrad

Full-text PDF (1579 kB) Citations (9)

Received: 16.10.1984
Revised: 25.11.1985

English version:
USSR Computational Mathematics and Mathematical Physics, 1986, Volume 26, Issue 4, Pages 47–58
DOI: https://doi.org/10.1016/0041-5553(86)90074-1

Bibliographic databases:

Document Type: Article

UDC: 519.632

MSC: Primary 65Z05; Secondary 35J55, 35J05, 74B10

Language: Russian

Citation: S. N. Leora, S. A. Nazarov, A. V. Proskura, “Derivation of limit functions for elliptic problems in thin domains using a computer”, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986), 1032–1048; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 47–58

Citation in format AMSBIB

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\by S.~N.~Leora, S.~A.~Nazarov, A.~V.~Proskura

\paper Derivation of limit functions for elliptic problems in thin domains using a computer

\jour Zh. Vychisl. Mat. Mat. Fiz.

\yr 1986

\vol 26

\issue 7

\pages 1032--1048

\mathnet{http://mi.mathnet.ru/zvmmf3973}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=851753}

\zmath{https://zbmath.org/?q=an:0626.65129}

\transl

\jour U.S.S.R. Comput. Math. Math. Phys.

\yr 1986

\vol 26

\issue 4

\pages 47--58

\crossref{https://doi.org/10.1016/0041-5553(86)90074-1}

Linking options:

https://www.mathnet.ru/eng/zvmmf3973

https://www.mathnet.ru/eng/zvmmf/v26/i7/p1032

This publication is cited in the following 9 articles:

S. A. Nazarov, “Asymptotics of the deflection of a cruciform junction of two narrow Kirchhoff plates”, Comput. Math. Math. Phys., 58:7 (2018), 1150–1171
T. A. Mel'nik, A. V. Popov, “Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions”, Sb. Math., 203:8 (2012), 1169–1195
S. A. Nazarov, “On the concentration of the point spectrum on the continuous one in problems of the linearized theory of water-waves”, J. Math. Sci. (N. Y.), 152:5 (2008), 674–689
S. A. Nazarov, A. S. Slutskij, “One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification”, Izv. Math., 64:3 (2000), 531–562
S. A. Nazarov, “Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)”, Sb. Math., 191:7 (2000), 1075–1106
O. V. Motygin, S. A. Nazarov, “A computer-aided procedure for constructing boundary layers in plate theory”, Comput. Math. Math. Phys., 40:2 (2000), 261–272
S. A. Nazarov, “The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes”, Russian Math. Surveys, 54:5 (1999), 947–1014
S. A. Nazarov, “Asymptotic of the solution of a boundary value problem in a thin cylinder with nonsmooth lateral surface”, Russian Acad. Sci. Izv. Math., 42:1 (1994), 183–217
S. A. Nazarov, “The two terms asymptotics of the solutions of spectral problems with singular perturbations”, Math. USSR-Sb., 69:2 (1991), 307–340

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Computational Mathematics and Mathematical Physics

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