Bermúdez, A.; Rodríguez, C.; Vilar, M. A. Solving shallow water equations by a mixed implicit finite element method. (English) Zbl 0713.76069 IMA J. Numer. Anal. 11, No. 1, 79-97 (1991). Summary: The shallow water equations are solved by using a numerical scheme implicit in time, and finite elements of P. A. Raviart and J. M. Thomas [Math. Aspects Finite Elem. Meth., Proc. Conf. Rome 1975, Lect. Notes Math. 606, 292-315 (1977; Zbl 0362.65089)] for the space discretization. The nonlinear discretized problem is solved by a duality iterative algorithm. Numerical results for the dam break test problem and for simulation of real tidal currents are given. Cited in 1 ReviewCited in 23 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:shallow water equations; numerical scheme Citations:Zbl 0362.65089 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., IMA J. Numer. Anal. 11, No. 1, 79--97 (1991; Zbl 0713.76069) Full Text: DOI