Layer-adapted methods for a singularly perturbed singular problem
Abstract: In the present paper we analyze linear finite elements on a layer adapted mesh for a boundary value problem characterized by the overlapping of a boundary layer with a singularity. Moreover, we compare this approach numerically with the use of adapted basis functions, in our case modified Bessel functions. It turns out that as well adapted meshes as adapted basis functions are suitable where for our one-dimensional problem adapted bases work slightly better.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Layer-adapted methods for a singularly perturbed singular problem ; volume:11 ; number:2 ; year:2011 ; pages:192-205
Computational methods in applied mathematics ; 11, Heft 2 (2011), 192-205
- Creator
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Grossmann, Christian
Ludwig, Lars
Roos, Hans-Görg
- DOI
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10.2478/cmam-2011-0010
- URN
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urn:nbn:de:101:1-2410261643556.960323848435
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
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Associated
- Grossmann, Christian
- Ludwig, Lars
- Roos, Hans-Görg
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