Presentation
On the mixed finite element approximation of wave problems. Application to shallow water flows
Author/s | Codina Rovira, Ramón
González Ondina, José María |
Publication Date | 2007-09 |
Deposit Date | 2016-02-17 |
Published in |
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Abstract | The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mix form, that is, introducing an auxiliary vector field to transform the problem into a first order ... The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mix form, that is, introducing an auxiliary vector field to transform the problem into a first order problem in space and time. We explain why the standard Galerkin method is inappropriate to solve this problem, and propose as alternative a stabilized finite element method that can be cast in the variational multiscale framework. The formulation is extended also to the modified Boussinesq equations as a model for waves in shallow water flows. |
Citation | Codina Rovira, R. y González Ondina, J.M. (2007). On the mixed finite element approximation of wave problems. Application to shallow water flows. |
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