The CG1-DG2 method for convection-diffusion equations in 2D

DOI10.1016/j.cam.2014.03.008zbMath1321.65169OpenAlexW1985110790MaRDI QIDQ491572

Roland Becker, Dmitri Kuzmin, Melanie Bittl

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.008

zbMATH Keywords

convergencefinite elementsnumerical examplesdiscontinuous Galerkin methodsa priori error estimatesconvection-diffusion equationsconjugate-gradientBaumann-Oden method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Analysis of a family of continuous-discontinuous Galerkin FEM for convection-diffusion problems ⋮ Locally bound-preserving enriched Galerkin methods for the linear advection equation ⋮ A new nonconforming finite element method for convection dominated diffusion-reaction equations

Uses Software

• Hermes2D

Cites Work

• Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
• A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method
• An optimal L (L2)-error estimate for the discontinuous Galerkin approximation of a nonlinear non-stationary convection-diffusion problem
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis
• Analysis of a Combined CG1-DG2 Method for the Transport Equation

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