Local discontinuous Galerkin methods for the Boussinesq coupled BBM system

DOI10.1007/s10915-017-0546-0zbMath1393.65050OpenAlexW2750667292MaRDI QIDQ1747640

Yulong Xing, Joshua Buli

Publication date: 26 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0546-0

zbMATH Keywords

error estimateBoussinesq systemlocal discontinuous Galerkin methodscoupled BBM systemHamiltonian conservation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system ⋮ Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators

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