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

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.