Convergence analysis of a space-time approximation to a two-dimensional system of shallow water equations

DOI10.1080/00036810410001658197zbMath1122.76053OpenAlexW1991573366WikidataQ58276170 ScholiaQ58276170MaRDI QIDQ4655861

Stefania Ferrari

Publication date: 8 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001658197

zbMATH Keywords

Semi-implicit-Lagrangian finite element schemeSpace-time approximation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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Uses Software

• FreeFem++

Cites Work

• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• Domain decomposition and parallel processing for the numerical solution of partial differential equations
• Recent developments in the numerical simulation of shallow water equations. I: Boundary conditions
• Mathematical and numerical modelling of shallow water flow
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• Finite element solution for the transcritical shallow-water equations
• Selective lumping finite element method for shallow water flow
• A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography