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

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.

UDC: 519.633

Received: 08.06.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:6, 11–19

Bibliographic databases:

• 
•