|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 6, Pages 14–23
(Mi ivm8708)
|
|
|
|
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.
Received: 08.06.2011
Citation:
S. E. Zhelezovskii, “Stability of an operator-difference scheme for thermoelasticity problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 6, 14–23; Russian Math. (Iz. VUZ), 56:6 (2012), 11–19
Linking options:
https://www.mathnet.ru/eng/ivm8708 https://www.mathnet.ru/eng/ivm/y2012/i6/p14
|
Statistics & downloads: |
Abstract page: | 340 | Full-text PDF : | 73 | References: | 72 | First page: | 3 |
|