Anisotropic error control for environmental applications
type: Item
instance of: scholarly article
title: Anisotropic error control for environmental applications
zbMATH Open document ID: 1160.65057
author: Luca Dedé
author: Stefano Micheletti
author: Simona Perotto
published in: Applied Numerical Mathematics
publication date: 2008-09-01T00:00:00Z
review text: The authors consider the problem of devising effective numerical techniques for environmental applications modelled by an advection-diffusion-reaction (ADR) equation. They show, via some basic test cases, that an a posteriori driven anisotropic mesh adaption procedure can be effective in tackling environmental applications modeled by ADR equations especially in the presence of strong adaptive fields.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5318785
zbMATH Keywords: environmental applications
zbMATH Keywords: anisotropic mesh adaption
zbMATH Keywords: goal-oriented analysis
zbMATH Keywords: gradient recovery procedure
zbMATH Keywords: advection-diffusion-reaction equation
describes a project that uses: bamg
MaRDI profile type: Publication
full work available at URL: j.apnum.2007.07.008
OpenAlex ID: W2067986230
cites work: Q4266502
cites work: Q4797885
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Q4361736
cites work: Q4162607
cites work: Q4144698
cites work: Grid adaptation for functional outputs: application to two-dimensional inviscid flows
cites work: Optimal control and numerical adaptivity for advection–diffusion equations
cites work: Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems
cites work: New anisotropic a priori estimates
cites work: Anisotropic error estimates for elliptic problems
cites work: An anisotropic a posteriori error estimate for a convection-diffusion problem
cites work: Simulation of hypersonic flows on unstructured grids
cites work: Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
cites work: Q4247223
cites work: Q4246774
cites work: Q5628582
cites work: On some new recovery-based a posteriori error estimators
cites work: An anisotropic recovery-based a posteriori error estimator
cites work: Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator
cites work: Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
cites work: Goal-oriented error estimation and adaptivity for the finite element method
cites work: Variational methods in theoretical mechanics. 2nd ed
cites work: Adaptive remeshing for compressible flow computations
cites work: An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
cites work: Numerical Approximation of a Control Problem for Advection-Diffusion Processes
cites work: Some remarks on Zienkiewicz‐Zhu estimator
cites work: An a posteriori error estimator for anisotropic refinement
cites work: Q4886148
cites work: A simple error estimator and adaptive procedure for practical engineerng analysis
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
DOI: 10.1016/J.APNUM.2007.07.008
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description: scientific article; zbMATH DE number 5318785