A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations
DOI10.1016/j.cam.2018.06.040zbMath1452.65363OpenAlexW2858499399WikidataQ129539914 ScholiaQ129539914MaRDI QIDQ1624622
Publication date: 16 November 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.040
convection diffusion equationsinterior layer and boundary layerrobust a posteriori error estimatorsupwind-staggered discontinuous Galerkin method
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)
Related Items (14)
Cites Work
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- Multigrid optimization methods for the optimal control of convection-diffusion problems with bilinear control
- Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems
- A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations
- A unified framework for a posteriori error estimation for the Stokes problem
- A posteriori error estimators for convection-diffusion eigenvalue problems
- A posteriori error estimators for the upstream weighting mixed methods for convection diffusion problems
- Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
- Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
- A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
- Decentrage et elements finis mixtes pour les équations de diffusion- convection
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A posteriori error estimators for convection-diffusion equations
- Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems
- Modified streamline diffusion schemes for convection-diffusion problems
- A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems
- Improvements of the Mizukami-Hughes method for convection-diffusion equations
- Cell boundary element methods for convection-diffusion equations
- A staggered discontinuous Galerkin method for the convection–diffusion equation
- Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
- A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
- A posteriori error estimate for the mixed finite element method
- Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problems
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Robusta posteriorierror estimates for stabilized finite element methods
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- An Asymptotically Fitted Finite Element Method for Convection Dominated Convection-Diffusion-Reaction Problems
- Analysis of an Upwind-Mixed Finite Element Method for Nonlinear contaminant Transport Equations
- Fully computable a posteriori error bounds for stabilised FEM approximations of convection–reaction–diffusion problems in three dimensions
- Optimal Discontinuous Galerkin Methods for Wave Propagation
- Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
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