Stability of an operator-difference scheme for thermoelasticity problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 14-23

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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.
@article{IVM_2012_6_a1,
     author = {S. E. Zhelezovskii},
     title = {Stability of an operator-difference scheme for thermoelasticity problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--23},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_6_a1/}
}
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S. E. Zhelezovskii. Stability of an operator-difference scheme for thermoelasticity problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 14-23. http://geodesic.mathdoc.fr/item/IVM_2012_6_a1/