Error estimation for the Galerkin method as applied to a nonlinear coupled shell thermoelasticity problem with a three-dimensional heat equation

S. E. Zhelezovsky

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 9, pp. 1677-1690

Résumé

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.

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