Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problems

DOI10.1002/num.21696zbMath1254.65122OpenAlexW2020237789MaRDI QIDQ3166294

Mohamed El Fatini, Abdellatif Agouzal, Boujemâa Achchab, Ali Souissi

Publication date: 11 October 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21696

zbMATH Keywords

stabilizationfinite elementconvection-diffusion problemstabilized methodssaturation assumptionrobust a posteriori estimator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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

A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations ⋮ Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems ⋮ Stabilization and a posteriori error analysis of a mixed FEM for convection-diffusion problems with mixed boundary conditions ⋮ Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ Star-based a posteriori error estimates for elliptic problems

Cites Work

• Unnamed Item
• Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
• Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport
• A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Hierarchical a posteriori error estimator. Application to mixed finite elements
• A posteriori error estimators for convection-diffusion equations
• On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
• Small data oscillation implies the saturation assumption
• Hierarchical robust a posteriori error estimator for a singularly perturbed problem
• A Posteriori Error Estimates Based on Hierarchical Bases
• A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection–diffusion equations
• A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Formulations Mixtes Augmentées et Applications
• An adaptive multilevel approach to parabolic equations III. 2D error estimation and multilevel preconditioning
• Error Estimates for Adaptive Finite Element Computations
• Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• Data Oscillation and Convergence of Adaptive FEM
• Some remarks about the hierarchicala posteriori error estimate
• Stabilization of Galerkin approximations of transport equations by subgrid modeling
• Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
• A robust a posteriori estimator for the residual-free bubbles method applied to advection-diffusion problems