Galerkin finite element approximation of general linear second order hyperbolic equations
Loading...
Date
Authors
Basson, Madelein
Van Rensburg, N.F.J.
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
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.
Description
Keywords
Damped vibration, Error estimates, Finite elements, Galerkin approximation, Second order hyperbolic equation
Sustainable Development Goals
Citation
Basson, M & Van Rensburg, NFJ 2013, 'Galerkin finite element approximation of general linear second order hyperbolic equations', Numerical Functional Analysis and Optimization, vol. 34, no. 9, pp. 976-1000.