Hamiltonian finite element discretization for nonlinear free surface water waves

DOI10.1007/s10915-017-0416-9zbMath1433.76070OpenAlexW2599381277WikidataQ59513230 ScholiaQ59513230MaRDI QIDQ1685516

Freekjan Brink, J. J. W. van der Vegt, Ferenc Izsák

Publication date: 14 December 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0416-9

zbMATH Keywords

finite element methodHamiltonian systemssymplectic time integrationmoving meshesnonlinear potential flow water wave equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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 methods for Hamiltonian systems including symplectic integrators (65P10)

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