Mixed finite element methods for the shallow water equations including current and silt sedimentation. I: The continuous-time case

DOI10.1007/BF02437296zbMath1141.76424OpenAlexW1978016275MaRDI QIDQ1890322

Jiang Zhu, Qingcun Zeng, Zheng-hui Xie, Zhen-Dong Luo

Publication date: 3 January 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437296

zbMATH Keywords

shallow water equationerror estimatemixed finite element methodcurrent and silt sedimentation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Mixed finite element methods for the shallow water equations including current and silt sedimentation. II: The discrete-time case along characteristics ⋮ The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration ⋮ Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model ⋮ Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration

Cites Work

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• An analysis of a mixed finite element method for the Navier-Stokes equations
• Recent developments in the numerical simulation of shallow water equations. I: Boundary conditions
• Solving Shallow Water Equations by a Mixed Implicit Finite Element Method
• Mixed and Hybrid Finite Element Methods
• RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION
• Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates

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