An HDG method for convection diffusion equation
DOI10.1007/s10915-015-0024-5zbMath1341.65039OpenAlexW2030085198MaRDI QIDQ283318
Publication date: 13 May 2016
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-015-0024-5
error analysissuperconvergencediscontinuous Galerkinpolyhedral meshesconvection diffusiondiscrete Poincaré inequalityhybridizable
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Initial value problems for second-order hyperbolic equations (35L15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
Cites Work
- Hybridized discontinuous Galerkin method for convection-diffusion problems
- A hybridized discontinuous Galerkin method with reduced stabilization
- First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
- A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems
- A projection-based error analysis of HDG methods
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- An HDG method for linear elasticity with strong symmetric stresses
- Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
- An analysis of HDG methods for convection-dominated diffusion problems