A discontinuous Galerkin finite element method for the Zakharov-Kuznetsov equation

DOI10.1186/s13662-016-0890-7zbMath1422.65269OpenAlexW2431516853WikidataQ59467023 ScholiaQ59467023MaRDI QIDQ1625691

Leilei Wei, Huixia Sun, Lijie Liu

Publication date: 29 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0890-7

zbMATH Keywords

stabilitydiscontinuous Galerkin methoderror estimateZakharov-Kuznetsov equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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)

Cites Work

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• NUMERICAL ANALYSIS OF AN IMPLICIT FULLY DISCRETE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE FRACTIONAL ZAKHAROV–KUZNETSOV EQUATION
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

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