Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes
From MaRDI portal
Publication:2862521
DOI10.1090/S0025-5718-2013-02711-1zbMath1457.65187OpenAlexW2158975258MaRDI QIDQ2862521
Yanlai Chen, Bernardo Cockburn
Publication date: 15 November 2013
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02711-1
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) Fictitious domain methods for boundary value problems involving PDEs (65N85)
Related Items
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation ⋮ An HDG method for convection diffusion equation ⋮ A class of embedded discontinuous Galerkin methods for computational fluid dynamics ⋮ Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations ⋮ An EMC-HDG scheme for the convection-diffusion equation with random diffusivity ⋮ A non-symmetric coupling of boundary elements with the hybridizable discontinuous Galerkin method ⋮ A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes ⋮ A dissimilar non-matching HDG discretization for Stokes flows ⋮ Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation ⋮ A multilevel Monte Carlo ensemble and hybridizable discontinuous Galerkin method for a stochastic parabolic problem ⋮ An ensemble Monte Carlo HDG method for parabolic PDEs with random coefficients ⋮ Static Condensation, Hybridization, and the Devising of the HDG Methods ⋮ A unified \textit{hp}-HDG framework for Friedrichs' PDE systems ⋮ A unified study of continuous and discontinuous Galerkin methods ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method ⋮ Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems ⋮ Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces ⋮ \textit{A posteriori} error analysis of an HDG method for the Oseen problem ⋮ A robust WG finite element method for convection-diffusion-reaction equations ⋮ A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations ⋮ A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry ⋮ An analysis of HDG methods for convection-dominated diffusion problems ⋮ An HDG method for the time-dependent drift-diffusion model of semiconductor devices ⋮ A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations ⋮ A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media ⋮ An MLMCE-HDG method for the convection diffusion equation with random diffusivity
Cites Work
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- Two families of mixed finite elements for second order elliptic problems
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- Commuting diagrams for the TNT elements on cubes
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- 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
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- A projection-based error analysis of HDG methods
- Mixed and Hybrid Finite Element Methods
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
- Error analysis of variable degree mixed methods for elliptic problems via hybridization
