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Journal of Scientific Computing
Published in: Journal of Scientific Computing 1/2015

01-10-2015

A Robust Residual-Type a Posteriori Error Estimator for Convection–Diffusion Equations

Authors: Shaohong Du, Zhimin Zhang

Published in: Journal of Scientific Computing | Issue 1/2015

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Abstract

In this paper, a new robust residual type a posteriori error estimator is developed and analyzed for convection–diffusion equations. A novel dual norm is introduced, under which the error estimator is proved to be robust with respect to the singularly perturbed parameter \(\varepsilon \). Both theoretical and numerical results showed that the estimator performs better than the existing ones in literature.
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Metadata
Title
A Robust Residual-Type a Posteriori Error Estimator for Convection–Diffusion Equations
Authors
Shaohong Du
Zhimin Zhang
Publication date
01-10-2015
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 1/2015
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-014-9972-4

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