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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1677–1690
(Mi zvmmf602)
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This article is cited in 2 scientific papers (total in 2 papers)
Error estimation for the Galerkin method as applied to a nonlinear coupled shell thermoelasticity problem with a three-dimensional heat equation
S. E. Zhelezovsky Saratov State Socio-Economic University
Abstract:
A geometrically nonlinear coupled thermoelasticity problem for shallow shells is considered in the framework of the Kirchhoff–Love kinematic model with a three-dimensional generalized heat equation. An a priori error estimate of the semidiscrete Galerkin method as applied to the problem is established for specially chosen basis systems.
Key words:
coupled thermoelasticity problem for shells, Galerkin method, error estimate.
Received: 07.07.2004 Revised: 18.03.2005
Citation:
S. E. Zhelezovsky, “Error estimation for the Galerkin method as applied to a nonlinear coupled shell thermoelasticity problem with a three-dimensional heat equation”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1677–1690; Comput. Math. Math. Phys., 45:9 (2005), 1618–1631
Linking options:
https://www.mathnet.ru/eng/zvmmf602 https://www.mathnet.ru/eng/zvmmf/v45/i9/p1677
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