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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 345–360 (Mi sjvm447)  
Stability of a three-layer operator-difference scheme for coupled thermoelasticity problems

S. E. Zhelezovskii

Saratov State Socio-Economic University, Saratov
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Abstract: Stability of a three-layer operator-difference scheme with weights that generalizes a class of difference and projection-difference schemes for linear coupled thermoelasticity problems is analyzed. Energy estimates for the solution and its first-order grid derivative are obtained.
Key words: operator-difference scheme, stability, coupled thermoelasticity problems.
Received: 09.11.2010
Revised: 21.01.2011
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 281–293
DOI: https://doi.org/10.1134/S1995423911040021
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. E. Zhelezovskii, “Stability of a three-layer operator-difference scheme for coupled thermoelasticity problems”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 345–360; Num. Anal. Appl., 4:4 (2011), 281–293
Citation in format AMSBIB
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\by S.~E.~Zhelezovskii
\paper Stability of a~three-layer operator-difference scheme for coupled thermoelasticity problems
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 4
\pages 345--360
\mathnet{http://mi.mathnet.ru/sjvm447}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 4
\pages 281--293
\crossref{https://doi.org/10.1134/S1995423911040021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155187187}
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