Local discontinuous Galerkin methods for the Boussinesq coupled BBM system
type: Item
instance of: scholarly article
title: Local discontinuous Galerkin methods for the Boussinesq coupled BBM system
zbMATH Open document ID: 1393.65050
author: Joshua Buli
author: Yulong Xing
published in: Journal of Scientific Computing
publication date: 2018-04-26T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 76B25
zbMATH DE Number: 6865019
zbMATH Keywords: local discontinuous Galerkin methods
zbMATH Keywords: Boussinesq system
zbMATH Keywords: Hamiltonian conservation
zbMATH Keywords: coupled BBM system
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: s10915-017-0546-0
OpenAlex ID: W2750667292
cites work: Comparisons between the BBM equation and a Boussinesq system
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: A Boussinesq system for two-way propagation of nonlinear dispersive waves
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
cites work: Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation
cites work: Exact traveling-wave solutions to bidirectional wave equations
cites work: On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system
cites work: Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: Q4952239
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain
cites work: On high order strong stability preserving Runge-Kutta and multi step time discretizations
cites work: A conservative discontinuous Galerkin method for the Degasperis-Procesi equation
cites work: An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation
cites work: A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
cites work: Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
cites work: Energy conserving local discontinuous Galerkin methods for wave propagation problems
cites work: Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
cites work: Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
DOI: 10.1007/S10915-017-0546-0
description: scientific article; zbMATH DE number 6865019