Galerkin Methods for Coupled Hyperbolic and Parabolic Linear System

In this paper, we consider the Galerkin methods for the coupled hyperbolic and parabolic linear system and obtain a priori error estimates for semi-discrete and fully discrete Galerkin approximations on the basis of paper [1], but we release the restriction of weak coupled action of the solution [1]. §1 Introduction In [1], we considered the coupled system arising from thermo-elastic problems