Multilevel a posteriori error analysis for reaction-convection-diffusion problems
type: Item
instance of: scholarly article
title: Multilevel a posteriori error analysis for reaction-convection-diffusion problems
zbMATH Open document ID: 1065.65124
author: S. Berrone
author: C. Canuto
published in: Applied Numerical Mathematics
publication date: 2004-08-19T00:00:00Z
review text: Considering a variational formulation of the exact problem based on the anisotropic wavelet decomposition of the equation residual into convection-dominated scales and diffusion-dominated scales, a new approach to a posteriori error analysis of the finite dimensional approximation of reaction-convection-diffusion problem is presented. Although the results are obtained in a very specific situation, they indicate new directions [cf. \textit{A. Cohen, W. Dahmen} and \textit{R. DeVore}, Found. Comput. Math. 2, 203--245 (2002; Zbl 1025.65056)].
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K25
zbMATH DE Number: 2093396
zbMATH Keywords: a posteriori error estimators
zbMATH Keywords: robustness
zbMATH Keywords: reaction-convection-diffusion problem
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.05.002
OpenAlex ID: W1995968327
cites work: Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
cites work: Robustness in a posteriori error analysis for FEM flow models
cites work: A REALIZATION OF A WAVELET GALERKIN METHOD ON NONTRIVIAL DOMAINS
cites work: Negative norm stabilization of convection-diffusion problems
cites work: Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Multilevel stabilization of convection-diffusion problems by variable-order inner products
cites work: An anistropic functional setting for convection-diffusion problems
cites work: Anisotropic wavelets along vector fields and applications to PDE's
cites work: Wavelet methods in numerical analysis
cites work: Adaptive wavelet methods. II: Beyond the elliptic case
cites work: Wavelets on the interval and fast wavelet transforms
cites work: Wavelet methods for PDEs -- some recent developments
cites work: Biorthogonal spline wavelets on the interval -- stability and moment conditions
cites work: WAVELETS ON THE INTERVAL WITH OPTIMAL LOCALIZATION
cites work: Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
cites work: Q4840766
cites work: Q4511107
cites work: Q4871736
cites work: A posteriori error estimators for convection-diffusion equations
DOI: 10.1016/J.APNUM.2004.05.002
description: scientific article; zbMATH DE number 2093396