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• W2964188863 startingPage "963" @default.
• W2964188863 abstract "We study mixed finite element methods for the rotating shallow water equations with linearized momentum terms but nonlinear drag. By means of an equivalent second-order formulation, we prove long-time stability of the system without energy accumulation. We also give rates of damping in unforced systems and various continuous dependence results on initial conditions and forcing terms. A priori error estimates for the momentum and free surface elevation are given in $$L^2$$ as well as for the time derivative and divergence of the momentum. Numerical results confirm the theoretical results regarding both energy damping and convergence rates." @default.
• W2964188863 created "2019-07-30" @default.
• W2964188863 creator A5030356228 @default.
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• W2964188863 date "2018-07-13" @default.
• W2964188863 modified "2023-09-25" @default.
• W2964188863 title "Mixed finite elements for global tide models with nonlinear damping" @default.
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• W2964188863 doi "https://doi.org/10.1007/s00211-018-0980-4" @default.
• W2964188863 hasPublicationYear "2018" @default.
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