From Rankine-Hugoniot Condition to a Constructive Derivation of HDG Methods

DOI10.1007/978-3-319-19800-2_45zbMath1352.65333OpenAlexW2466918229MaRDI QIDQ2831237

Tan Bui-Thanh

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_45

zbMATH Keywords

discontinuous Galerkin method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

Construction and Analysis of HDG Methods for Linearized Shallow Water Equations ⋮ An improved iterative HDG approach for partial differential equations ⋮ iHDG: An Iterative HDG Framework for Partial Differential Equations ⋮ A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures ⋮ Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods

Cites Work

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• From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations
• Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
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• A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A projection-based error analysis of HDG methods
• Finite Volume Methods for Hyperbolic Problems
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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