Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem
DOI10.1016/j.apnum.2021.08.007zbMath1493.65230arXiv2106.00485OpenAlexW3194481502MaRDI QIDQ822195
Publication date: 21 September 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.00485
convection-diffusion equationadaptive mesh refinementfinite element methodsa posteriori error estimatesweak Galerkindiscrete weak gradient
Diffusion (76R50) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
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- A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
- A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
- A robust WG finite element method for convection-diffusion-reaction equations
- A weak Galerkin finite element method for the Maxwell equations
- 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
- 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
- A weak Galerkin finite element method for second-order elliptic problems
- Residual-free bubbles for advection-diffusion problems: The general error analysis
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- An a posteriori error estimator for the weak Galerkin least-squares finite-element method
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers
- Robusta posteriorierror estimates for HDG method for convection–diffusion equations
- A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
- Weak Galerkin finite element methods for Parabolic equations
- A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
- Robusta posteriorierror estimates for stabilized finite element methods
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
- deal.II—A general-purpose object-oriented finite element library
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Numerical Multistep Approach for Solving Fractional Partial Differential Equations
- A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem
- A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems
- On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation
- A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes
- Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
- Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems
- A weak Galerkin finite element method for the Stokes equations
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