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Error Estimates for a Coupled Continuous-Discontinuous FEM for the Two-Layer Shallow Water Equations

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Modeling, Dynamics, Optimization and Bioeconomics I

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 73))

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Abstract

We present a coupled continuous-discontinuous finite element method for solving multi-layer shallow-water equations in their primitive form. The method is based on a continuous approximation of the horizontal velocities together with a discontinuous approximation of the surface and interface elevations. A priori estimates are derived for the semi-discrete problem.

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Acknowledgements

The first author was supported by a FCT (Fundação para a Ciência e a Tecnologia) fellowship SFRH/BD/70749/2010. The second author was partially supported by a FCT fellowship SFRH/BD/36583/2007. The last author was partially supported by the project UTAustin/MAT/0035/2008.

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Authors and Affiliations

  1. CAMGSD/Department of Mathematics, Instituto Superior Técnico, University of Lisbon, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal

    Pedro S. Gonçalves, Bruno M. Pereira & Juha H. Videman

Authors
  1. Pedro S. Gonçalves
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  2. Bruno M. Pereira
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  3. Juha H. Videman
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Correspondence to Juha H. Videman .

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Editors and Affiliations

  1. University of Porto, Department of Mathematics, Porto, Portugal

    Alberto Adrego Pinto

  2. Univ. of California, Dept. of Agricultural and Resource Economics, Berkeley, California, USA

    David Zilberman

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Gonçalves, P.S., Pereira, B.M., Videman, J.H. (2014). Error Estimates for a Coupled Continuous-Discontinuous FEM for the Two-Layer Shallow Water Equations. In: Pinto, A., Zilberman, D. (eds) Modeling, Dynamics, Optimization and Bioeconomics I. Springer Proceedings in Mathematics & Statistics, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-04849-9_21

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