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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 6, Pages 14–23 (Mi ivm8708)  

Stability of an operator-difference scheme for thermoelasticity problems

S. E. Zhelezovskii

Chair of Applied Mathematics and Information Science, Saratov State Socio-Economical University, Saratov, Russia
References:
Abstract: We study a linear three-layer operator-difference scheme with weights which generalizes a class of difference and projection-difference schemes for coupled thermoelasticity problems. Using the method of energy inequalities, we obtain stability estimates in grid energy norms under certain conditions on operator coefficients and parameters of the scheme.
Keywords: operator-difference scheme, stability, coupled thermoelasticity problems.
Received: 08.06.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 6, Pages 11–19
DOI: https://doi.org/10.3103/S1066369X12060023
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: S. E. Zhelezovskii, “Stability of an operator-difference scheme for thermoelasticity problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 6, 14–23; Russian Math. (Iz. VUZ), 56:6 (2012), 11–19
Citation in format AMSBIB
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\by S.~E.~Zhelezovskii
\paper Stability of an operator-difference scheme for thermoelasticity problems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 6
\pages 14--23
\mathnet{http://mi.mathnet.ru/ivm8708}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076917}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 6
\pages 11--19
\crossref{https://doi.org/10.3103/S1066369X12060023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866287364}
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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