Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation
DOI10.1016/j.jcp.2019.109002zbMath1453.65334OpenAlexW2978675354MaRDI QIDQ2222688
Weizhou Sun, Yulong Xing, Xiaole Li, Ching-Shan Chou
Publication date: 27 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109002
solitary waveserror estimateenergy conserving methodsimproved Boussinesq equationlocal discontinuous Galerkin methods
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) Soliton solutions (35C08)
Related Items (6)
Cites Work
- Energy-preserving finite volume element method for the improved Boussinesq equation
- Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
- Energy conserving local discontinuous Galerkin methods for wave propagation problems
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- A predictor-corrector scheme for the improved Boussinesq equation
- A second order numerical scheme for the improved Boussinesq equation
- Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator
- Linear B-spline finite element method for the improved Boussinesq equation
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Numerical solutions of the improved Boussinesq equation
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Numerical study of the improved Boussinesq equation
- Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
- Blow-up of solutions for improved Boussinesq type equation
- Optimal energy conserving and energy dissipative local discontinuous Galerkin methods for the Benjamin-Bona-Mahony equation
- $L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations
- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- Numerical Solutions of the Good Boussinesq Equation
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- High‐order energy‐preserving schemes for the improved Boussinesq equation
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations
- A Posteriori Error Estimates for Conservative Local Discontinuous GalerkinMethods for the Generalized Korteweg-de Vries Equation
- A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives
- An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation
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