On the convergence of Galerkin approximation schemes for second-order hyperbolic equations in energy and negative norms

@article{Geveci1984OnTC,
  title={On the convergence of Galerkin approximation schemes for second-order hyperbolic equations in energy and negative norms},
  author={Tunc Geveci},
  journal={Mathematics of Computation},
  year={1984},
  volume={42},
  pages={393-415}
}
  • T. Geveci
  • Published 1 May 1984
  • Mathematics
  • Mathematics of Computation
Given certain semidiscrete and single step fully discrete Galerkin approximations to the solution of an initial-boundary value problem for a second-order hyperbolic equation, H' and L2 error estimates are obtained. These estimates are valid simultaneously when the approximation to the initial data is taken to be the projection onto the approximating space with respect to the inner product which induces the energy norm that is naturally associated with the problem. The L2-estimate is obtained as… 

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