Error Estimates for Galerkin Approximations of the Serre Equations
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Publication:5347523
DOI10.1137/16M1078355zbMath1362.65099arXiv1701.00668OpenAlexW2586563857MaRDI QIDQ5347523
Dimitrios Mitsotakis, D. C. Antonopoulos, Vassilios A. Dougalis
Publication date: 24 May 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00668
error estimatessolitary wavesSerre equationssurface water wavesstandard Galerkin finite element methods
KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart ⋮ On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime ⋮ Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography ⋮ Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations
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