Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport

DOI10.1016/j.amc.2011.11.012zbMath1244.65129OpenAlexW1995918757MaRDI QIDQ426557

J. Herrera, H. S. Yoon

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.012

zbMATH Keywords

numerical experimentsa posteriori error estimatorCrank-Nicolson schemeconvection-diffusion-reaction problemsubgrid stabilization

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Projection stabilized nonconforming finite element methods for the stokes problem, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, An adaptive SUPG method for evolutionary convection-diffusion equations

Cites Work

• Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
• Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
• A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations
• An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems
• A numerical study of a posteriori error estimators for convection-diffusion equations
• A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
• Subgrid stabilization of Galerkin approximations of linear monotone operators
• Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problems
• A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
• Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
• TIME AND SPACE ADAPTIVITY FOR THE SECOND-ORDER WAVE EQUATION
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Stabilization of Galerkin approximations of transport equations by subgrid modeling
• Robust a-posteriori estimator for advection-diffusion-reaction problems
• Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
• Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations
• Nonconforming finite element methods with subgrid viscosity applied to advection‐diffusion‐reaction equations
• Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes
• The streamline-diffusion method for conforming and nonconforming finite elements of lowest order applied to convection-diffusion problems