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Published in:
Error Estimates in Balanced Norms of Finite Element Methods on Layer-Adapted Meshes for Second Order Reaction-Diffusion Problems Read chapter Read first chapter

2017 | OriginalPaper | Chapter

On Robust Error Estimation for Singularly Perturbed Fourth-Order Problems

Authors : Sebastian Franz, Hans-Görg Roos

Published in: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

Publisher: Springer International Publishing

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Abstract

Recently, several classes of fourth order singularly perturbed problems were considered and uniform convergence in the associated energy norm as well as in a balanced norm was proved. In this proceedings paper we will extend some results by looking into L ∞ -bounds and postprocessing.

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previous chapter Laminar Boundary Layer Flow with DBD Plasma Actuation: A Similarity Equation
next chapter Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition
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Metadata
Title
On Robust Error Estimation for Singularly Perturbed Fourth-Order Problems
Authors
Sebastian Franz
Hans-Görg Roos
Copyright Year
2017
Book
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

Print ISBN: 978-3-319-67201-4

Electronic ISBN: 978-3-319-67202-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-67202-1_6

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