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Analysis of numerically induced oscillations in 2D finite-element shallow-water models. I: Inertia-gravity waves. (English) Zbl 1387.76055

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
35Q35 PDEs in connection with fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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