Finite element methods for a system of dispersive equations

DOI10.1007/s10915-018-0767-xzbMath1406.65083OpenAlexW2810825431WikidataQ129574578 ScholiaQ129574578MaRDI QIDQ1633502

Jerry L. Bona, Michael M. Wise, Hongqiu Chen, Ohannes A. Karakashian

Publication date: 20 December 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-018-0767-x

zbMATH Keywords

error estimatesconservation lawsfinite element methodsKorteweg-de Vries equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with geophysics (35Q86)

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A posteriori error estimates for finite element methods for systems of nonlinear, dispersive equations ⋮ Local discontinuous Galerkin methods to a dispersive system of KdV-type equations ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system

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