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Stability of a three-layer operator-difference scheme for coupled thermoelasticity problems

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Abstract

Stability of a three-layer operator-difference scheme with weights, which 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.

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Correspondence to S. E. Zhelezovskii.

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Original Russian Text © S.E. Zhelezovskii, 2011, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2011, Vol. 14, No. 4, pp. 345–360.

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Zhelezovskii, S.E. Stability of a three-layer operator-difference scheme for coupled thermoelasticity problems. Numer. Analys. Appl. 4, 281–293 (2011). https://doi.org/10.1134/S1995423911040021

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  • DOI: https://doi.org/10.1134/S1995423911040021

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