Galerkin finite element approximation of general linear second order hyperbolic equations
نویسندگان
چکیده
In this article we derive error estimates for the Galerkin approximation of a general linear second order hyperbolic partial differential equation. The results can be applied to a variety of cases e.g. 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 semidiscrete and fully discrete cases not only simplifies the proofs but less restrictive regularity assumptions are required.
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