Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom

DOI10.1016/j.cnsns.2021.105951zbMath1472.65113OpenAlexW3177557335MaRDI QIDQ2046002

Juan Carlos Muñoz Grajales, Luis Fernando Mejía

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105951

zbMATH Keywords

finite element methodBoussinesq-type systemCrank-Nicholson-type schememoving bathymetry

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Uses Software

• Gmsh
• FEniCS

Cites Work

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