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

S. E. Zhelezovskii

Saratov State Socio-Economic University, Saratov

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.

UDC: 519.63

Received: 09.11.2010
Revised: 21.01.2011

 English version: Numerical Analysis and Applications, 2011, 4:4, 281–293

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