Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems
DOI10.1007/s11425-022-2035-yzbMath1528.65085arXiv2209.03604OpenAlexW4307156973MaRDI QIDQ6084695
Hongjuan Zhang, Boying Wu, Xiong Meng
Publication date: 6 November 2023
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.03604
optimal error estimateslocal discontinuous Galerkin methodgeneralized numerical fluxesgeneralized Gauss-Radau projectionsnonlinear convection-diffusion systems
Diffusion (76R50) 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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Stability of nonlinear convection-diffusion-reaction systems in discontinuous Galerkin methods
- An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations
- Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach
- 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
- Optimal error estimate of the local discontinuous Galerkin methods based on the generalized alternating numerical fluxes for nonlinear convection-diffusion equations
- Local discontinuous Galerkin methods for the Boussinesq coupled BBM system
- Local discontinuous Galerkin methods for nonlinear Schrödinger equations
- On the local discontinuous Galerkin method for singularly perturbed problem with two parameters
- On the convergence of the local discontinuous Galerkin method applied to a stationary one dimensional fractional diffusion problem
- Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
- Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations
- A local discontinuous Galerkin method for the Burgers-Poisson equation
- Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations
- Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations
- Fast iterative solver for convection-diffusion systems with spectral elements
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws
- Spacetime discontinuous Galerkin methods for solving convection-diffusion systems
- A Local Discontinuous Galerkin Method for KdV Type Equations
- A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems
- Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations
- Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes
- A priorierror estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws
- Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws
This page was built for publication: Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems
