Mixed finite element methods for the shallow water equations including current and silt sedimentation. II: The discrete-time case along characteristics

DOI10.1007/BF02437320zbMath1145.76404MaRDI QIDQ1890259

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

Publication date: 29 December 2004

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

zbMATH Keywords

shallow water equationerror estimatemixed finite element methodcharacteristics 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) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (3)

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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• Finite element approximation of the Navier-Stokes equations
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Mixed finite element methods for the shallow water equations including current and silt sedimentation. I: The continuous-time case
• Solving Shallow Water Equations by a Mixed Implicit Finite Element Method
• Mixed and Hybrid Finite Element Methods
• Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates

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