Supplement to the Convergence of Galerkin Approximation Schemes for Second-Order Hyperbolic Equations With Dissipation

@article{Kok1985SupplementTT,
  title={Supplement to the Convergence of Galerkin Approximation Schemes for Second-Order Hyperbolic Equations With Dissipation},
  author={Barbara Kok and Tunc Geveci},
  journal={Mathematics of Computation},
  year={1985},
  volume={44}
}
  • B. KokT. Geveci
  • Published 1 April 1985
  • Mathematics
  • Mathematics of Computation
In this paper we consider certain semidiscrete and fully discrete Galerkin approximations to the solution of an initial-boundary value problem for a second-order hyperbolic equation with a dissipative term. Estimates are obtained in the energy and negative norms associated with the problem, yielding in particular //'and L2-error estimates. The approximation to the initial data is taken, in this case, as the projection with respect to the energy inner product, onto the approximating space. We… 

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