A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

DOI10.1090/S0025-5718-2014-02878-0zbMath1311.65119OpenAlexW2017137780MaRDI QIDQ5179218

Ohannes A. Karakashian, Charalambos G. Makridakis

Publication date: 19 March 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02878-0

zbMATH Keywords

semidiscretizationa posteriori error estimatesgeneralized Korteweg-de Vries equationdiscontinuous Galerkin schemedispersive reconstruction

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (9)

Finite element methods for a system of dispersive equations ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ Embedded exponential-type low-regularity integrators for KdV equation under rough data ⋮ A posteriori error estimates for finite element methods for systems of nonlinear, dispersive equations ⋮ Numerical Integrators for Dispersion-Managed KdV Equation ⋮ An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation ⋮ Local discontinuous Galerkin methods to a dispersive system of KdV-type equations ⋮ The design of conservative finite element discretisations for the vectorial modified KdV equation ⋮ Conservative Galerkin methods for dispersive Hamiltonian problems

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