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2020 | OriginalPaper | Buchkapitel

Dual Weighted Residual Based Error Control for Nonstationary Convection-Dominated Equations: Potential or Ballast?

verfasst von : Marius Paul Bruchhäuser, Kristina Schwegler, Markus Bause

Erschienen in: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Verlag: Springer International Publishing

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Abstract

Even though substantial progress has been made in the numerical approximation of convection-dominated problems, its major challenges remain in the scope of current research by John et al. (Comput Vis Sci 19(5–6):1–17, 2018). In particular, parameter robust a posteriori error estimates for quantities of physical interest and adaptive mesh refinement strategies with proved convergence are still missing. Here, we study numerically the potential of the Dual Weighted Residual (DWR) approach applied to stabilized finite element methods to further enhance the quality of approximations. The impact of a strict application of the DWR methodology is particularly focused rather than the reduction of computational costs for solving the dual problem by interpolation or localization.

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Nächstes Kapitel Automatic Variationally Stable Analysis for FE Computations: An Introduction
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Metadaten
Titel
Dual Weighted Residual Based Error Control for Nonstationary Convection-Dominated Equations: Potential or Ballast?
verfasst von
Marius Paul Bruchhäuser
Kristina Schwegler
Markus Bause
Copyright-Jahr
2020
Buch
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Print ISBN: 978-3-030-41799-4

Electronic ISBN: 978-3-030-41800-7

Copyright-Jahr: 2020

DOI
https://doi.org/10.1007/978-3-030-41800-7_1

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