The convergence of Galerkin approximation schemes for secondorder hyperbolic equations with dissipation
Authors:
Barbara Kok and Tunc Geveci
Journal:
Math. Comp. 44 (1985), 379390, S17
MSC:
Primary 65M10; Secondary 65M60
MathSciNet review:
777270
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Abstract: In this paper we consider certain semidiscrete and fully discrete Galerkin approximations to the solution of an initialboundary value problem for a secondorder hyperbolic equation with a dissipative term. Estimates are obtained in the energy and negative norms associated with the problem, yielding in particular  and 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 also obtain estimates for higherorder time derivatives.
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 G. A. Baker & V. A. Dougalis, "On the convergence of Galerkin approximations for secondorder hyperbolic equations," Math. Comp., v. 34, 1980, pp. 401424. MR 559193 (81f:65066)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198507772703
PII:
S 00255718(1985)07772703
Article copyright:
© Copyright 1985
American Mathematical Society
