An a posteriori error estimator for an unsteady advection-diffusion-reaction problem
DOI10.1016/j.camwa.2013.09.022zbMath1368.65186OpenAlexW2089164817MaRDI QIDQ2013787
Pablo Venegas, Rodolfo A. Araya
Publication date: 9 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.09.022
a posteriori error estimatorsparabolic problemsstabilized methodsadvection-diffusion-reaction problem
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Consistent SUPG-method for transient transport problems: stability and convergence
- Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- An assessment of discretizations for convection-dominated convection-diffusion equations
- Stability of the SUPG finite element method for transient advection-diffusion problems
- An optimal Poincaré inequality for convex domains
- The finite element method for parabolic equations. I. A posteriori error estimation
- The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
- A posteriori error estimates by recovered gradients in parabolic finite element equations
- A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations
- An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
- Element diameter free stability parameters for stabilized methods applied to fluids
- A posteriori error estimators for convection-diffusion equations
- A numerical study of a posteriori error estimators for convection-diffusion equations
- Adaptive finite elements for a linear parabolic problem
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Theory and practice of finite elements.
- Stabilized finite element methods for singularly perturbed parabolic problems
- An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
- A posteriori error estimates for finite element discretizations of the heat equation
- Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization
- Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- A posteriori error estimates for the Crank–Nicolson method for parabolic equations
- Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
- A posteriori analysis of the finite element discretization of some parabolic equations
- Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations
- Galerkin Finite Element Methods for Parabolic Problems
