The Discontinuous Galerkin Method with Diffusion

DOI10.2307/2153206zbMath0783.65078OpenAlexW4241359217MaRDI QIDQ4024680

Gerard R. Richter

Publication date: 10 February 1993

Full work available at URL: https://doi.org/10.2307/2153206

zbMATH Keywords

error estimatesdiscontinuous Galerkin methodconvection-diffusion equations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (7)

Necessary \(L^ 2\)-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems ⋮ A super-parallel mixed explicit discontinuous Galerkin method for the second-order Boltzmann-based constitutive models of rarefied and microscale gases ⋮ Fast native-MATLAB stiffness assembly for SIPG linear elasticity ⋮ Hybridized discontinuous Galerkin method for convection-diffusion problems ⋮ A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems ⋮ On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems ⋮ Exponential convergence of the \(hp\)-DGFEM for diffusion problems

Cites Work

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• Finite element methods for linear hyperbolic problems
• An Explicit Finite Element Method for Convection-Dominated Steady State Convection-Diffusion Equations
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Analysis of a Continuous Finite Element Method for Hyperbolic Equations
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• A Finite Element Method for Time-Dependent Convection-Diffusion Equations
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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