On the order of convergence of the discontinuous Galerkin method for hyperbolic equations

DOI10.1090/S0025-5718-08-02126-1zbMath1198.65196OpenAlexW2037631185MaRDI QIDQ3055052

Gerard R. Richter

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02126-1

zbMATH Keywords

finite elementhyperbolic

Mathematics Subject Classification ID

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 (4)

Global Feedback Stabilization for a Class of Nonlocal Transport Equations: The Continuous and Discrete Case ⋮ Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems ⋮ Optimal convergence and a posteriori error analysis of the original DG method for advection-reaction equations. ⋮ The weak Galerkin finite element method for the transport-reaction equation

Cites Work

• Unnamed Item
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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