Alternating evolution discontinuous Galerkin methods for convection-diffusion equations

DOI10.1016/j.jcp.2015.12.017zbMath1352.65356OpenAlexW2201757632MaRDI QIDQ729414

Michael Pollack, Hai-liang Liu

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.12.017

zbMATH Keywords

convection-diffusion equationsdiscontinuous Galerkinalternating evolution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

An entropy satisfying discontinuous Galerkin method for nonlinear Fokker-Planck equations, Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations, Alternating evolution methods for static Hamilton-Jacobi equations, Error estimates of the third order runge-kutta alternating evolution discontinuous galerkin method for convection-diffusion problems, Half boundary method for steady state convection-diffusion equations with different boundary conditions

Cites Work

• Unnamed Item
• Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A discontinuous \(hp\) finite element method for diffusion problems
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• On the constants in \(hp\)-finite element trace inverse inequalities.
• The corrected operator splitting approach applied to a nonlinear advection-diffusion problem
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Central schemes on overlapping cells
• Strong Stability-Preserving High-Order Time Discretization Methods
• Central local discontinuous galerkin methods on overlapping cells for diffusion equations
• Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations
• Alternating Evolution Schemes for Hyperbolic Conservation Laws
• A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
• L²stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
• Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Alternating Evolution Schemes for Hamilton--Jacobi Equations
• The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
• The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
• A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives