An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation

DOI10.1016/j.cam.2018.09.021zbMath1407.65187arXiv1805.04471OpenAlexW2962820394WikidataQ115994405 ScholiaQ115994405MaRDI QIDQ1713084

Guosheng Fu, Chi-Wang Shu

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04471

zbMATH Keywords

discontinuous Galerkin methodKorteweg-de Vries equationenergy conserving

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations ⋮ Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation ⋮ Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems ⋮ A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations ⋮ Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation ⋮ Unnamed Item ⋮ Strong Stability of Explicit Runge--Kutta Time Discretizations

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