A conservative discontinuous Galerkin method for the Degasperis-Procesi equation

DOI10.4310/MAA.2014.V21.N1.A3zbMath1296.35158OpenAlexW2320404402MaRDI QIDQ2017222

Yunqing Huang, Nian-Yu Yi, Hai-liang Liu

Publication date: 25 June 2014

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2014.v21.n1.a3

zbMATH Keywords

stabilitydiscontinuous Galerkin methodconservationDegasperis-Procesi 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) 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)

Related Items (8)

On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity ⋮ High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations ⋮ A meshfree technique for the numerical solutions of nonlinear Fornberg-Whitham and Degasperis-Procesi equations with their modified forms ⋮ Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation ⋮ Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation ⋮ A finite difference scheme for smooth solutions of the general Degasperis–Procesi equation ⋮ Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions ⋮ Local discontinuous Galerkin methods for the Boussinesq coupled BBM system

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