An a posteriori error estimate for the variable-degree Raviart-Thomas method
From MaRDI portal
Publication:5401692
DOI10.1090/S0025-5718-2013-02789-5zbMath1296.65142MaRDI QIDQ5401692
Wujun Zhang, Bernardo Cockburn
Publication date: 12 March 2014
Published in: Mathematics of Computation (Search for Journal in Brave)
finite element methodsecond-order elliptic problemsnumerical experimenta posteriori error analysisRaviart-Thomas method
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations ⋮ A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow ⋮ Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow ⋮ An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization ⋮ Static Condensation, Hybridization, and the Devising of the HDG Methods ⋮ Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media ⋮ \textit{A posteriori} error analysis of an HDG method for the Oseen problem ⋮ Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems ⋮ \textit{A priori} and \textit{a posteriori} error analysis of an unfitted HDG method for semi-linear elliptic problems ⋮ A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations
Cites Work
- Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity
- Mixed finite elements for second order elliptic problems in three variables
- A family of mixed finite elements for the elasticity problem
- On the constants in \(hp\)-finite element trace inverse inequalities.
- A posteriori error estimates for mixed finite element approximations of elliptic problems
- Error estimators for a mixed method
- ENERGY NORM A POSTERIORI ERROR ESTIMATION FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS IN THREE DIMENSIONS
- A posteriori error estimate for the mixed finite element method
- Energy norm a posteriori error estimates for mixed finite element methods
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations
- Mixed and Hybrid Finite Element Methods
- A Local Post-Processing Technique for Improving the Accuracy in Mixed Finite-Element Approximations
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- A Posteriori Error Estimators for the Raviart–Thomas Element
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- Divergence-conforming HDG methods for Stokes flows
- Postprocessing schemes for some mixed finite elements
