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Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations

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Abstract

In this paper we present a battery of results related to how Galerkin semidiscretization in space affects some formulations of wave scattering and propagation problems when retarded boundary integral equations are used.

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Acknowledgments

The author appreciates the thorough work and helpful suggestions of two anonymous referees and of the editor, Prof. Ralf Hiptmair. Their contribution has notably improved the final version of this article.

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  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA

    Francisco- Javier Sayas

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  1. Francisco- Javier Sayas
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Correspondence to Francisco- Javier Sayas.

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Sayas, F.J. Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations. Numer. Math. 124, 121–149 (2013). https://doi.org/10.1007/s00211-012-0506-4

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  • DOI: https://doi.org/10.1007/s00211-012-0506-4

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