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A New Finite Element Scheme for the Boussinesq Equations

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Publication:3130132
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DOI10.1142/S0218202597000128zbMath0873.76040OpenAlexW2016454982MaRDI QIDQ3130132

Davide Ambrosi

Publication date: 4 November 1997

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202597000128


zbMATH Keywords

Taylor-Galerkin methoddispersion phenomenamoderate curvature of free surfacenonsymmetric advection-propagation operatorthird-order differential terms


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)


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Solitary-wave propagation and interactions for the ‘good’ Boussinesq equation ⋮ A predictor-corrector scheme for the numerical solution of the Boussinesq equation ⋮ A global extrapolated procedure for the Boussinesq equation ⋮ A high-order Petrov-Galerkin finite element method for the classical Boussinesq wave model




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