Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
From MaRDI portal
Publication:2956996
DOI10.1007/978-3-319-31925-4_5zbMath1356.65238OpenAlexW2435162739MaRDI QIDQ2956996
Publication date: 20 January 2017
Published in: Advanced Finite Element Technologies (Search for Journal in Brave)
Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa28842/Download/0028842-12062016101055.pdf
Boundary value problems for second-order elliptic equations (35J25) 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) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)
Related Items (17)
An HDG formulation for incompressible and immiscible two-phase porous media flow problems ⋮ An implicit HDG method for linear convection-diffusion with dual time stepping ⋮ Combined hybridizable discontinuous Galerkin (HDG) and Runge-Kutta discontinuous Galerkin (RK-DG) formulations for Green-Naghdi equations on unstructured meshes ⋮ Performance and accuracy of hybridized flux reconstruction schemes ⋮ A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor ⋮ HDG-NEFEM with degree adaptivity for Stokes flows ⋮ High-order hybridizable discontinuous Galerkin formulation for one-phase flow through porous media ⋮ Hybrid coupling of CG and HDG discretizations based on Nitsche's method ⋮ A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows ⋮ GSIS: an efficient and accurate numerical method to obtain the apparent gas permeability of porous media ⋮ Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem ⋮ A second-order face-centred finite volume method for elliptic problems ⋮ Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows ⋮ A superconvergent hybridizable discontinuous Galerkin method for weakly compressible magnetohydrodynamics ⋮ A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation ⋮ One-Phase and Two-Phase Flow Simulation Using High-Order HDG and High-Order Diagonally Implicit Time Integration Schemes ⋮ Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems
Cites Work
- Unnamed Item
- Unnamed Item
- To CG or to HDG: A comparative study
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- A hybridizable discontinuous Galerkin method for Stokes flow
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- Two families of mixed finite elements for second order elliptic problems
- Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
- A hybridizable discontinuous Galerkin formulation for non-linear elasticity
- Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
- Efficiency of high-order elements for continuous and discontinuous Galerkin methods
- A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
- Superconvergent discontinuous Galerkin methods for second-order elliptic problems
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- New hybridization techniques
- A hybridizable discontinuous Galerkin method for linear elasticity
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
- Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions
This page was built for publication: Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
