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2014 | OriginalPaper | Chapter

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

Authors : Pedro S. Gonçalves, Bruno M. Pereira, Juha H. Videman

Published in: Modeling, Dynamics, Optimization and Bioeconomics I

Publisher: Springer International Publishing

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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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Metadata
Title
Error Estimates for a Coupled Continuous-Discontinuous FEM for the Two-Layer Shallow Water Equations
Authors
Pedro S. Gonçalves
Bruno M. Pereira
Juha H. Videman
Copyright Year
2014
Book
Modeling, Dynamics, Optimization and Bioeconomics I

Print ISBN: 978-3-319-04848-2

Electronic ISBN: 978-3-319-04849-9

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-04849-9_21