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Model. Anal. Inform. Sist., 2016, Volume 23, Number 3, Pages 240–247 (Mi mais494)  

FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer

S. Becher

Institut für Numerische Mathematik, Technische Universität Dresden, 01062 Dresden, Deutschland

Abstract: We consider singularly perturbed turning point problems whose solutions exhibit an interior layer. Two suitable layer-adapted mesh-types are presented. For both types we give uniform error estimates in the $\varepsilon$-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings.

Keywords: singular perturbation, turning point, interior layer, layer-adapted meshes, higher order finite elements.

DOI: https://doi.org/10.18255/1818-1015-2016-3-240-247

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Bibliographic databases:

UDC: 519.6
Received: 20.05.2016
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Citation: S. Becher, “FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer”, Model. Anal. Inform. Sist., 23:3 (2016), 240–247

Citation in format AMSBIB
\Bibitem{Bec16}
\by S.~Becher
\paper FEM-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer
\jour Model. Anal. Inform. Sist.
\yr 2016
\vol 23
\issue 3
\pages 240--247
\mathnet{http://mi.mathnet.ru/mais494}
\crossref{https://doi.org/10.18255/1818-1015-2016-3-240-247}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3520846}
\elib{http://elibrary.ru/item.asp?id=26246290}


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