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Stability of an operator-difference scheme for thermoelasticity problems

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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.

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  1. Saratov State Socio-Economic University, 89 Radishcheva str., Saratov, 410003, Russia

    S. E. Zhelezovskii

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  1. S. E. Zhelezovskii
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Correspondence to S. E. Zhelezovskii.

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Original Russian Text © S.E. Zhelezovskii, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 6, pp. 14–23.

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Zhelezovskii, S.E. Stability of an operator-difference scheme for thermoelasticity problems. Russ Math. 56, 11–19 (2012). https://doi.org/10.3103/S1066369X12060023

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