Abstract:
In this article, we derive error estimates for the Galerkin approximation of a general linear
second order hyperbolic equation. The results can be applied to a variety of cases, for example,
vibrating systems of linked elastic bodies. The results generalize the work of Baker [1] and also
allow for viscous type damping. Splitting the proofs for the semi-discrete and fully discrete cases
not only simplifies the proofs but less restrictive regularity assumptions are required.
