FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer
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 ε-weighted energy norm for finite elements of higher order. Numerical experiments are used to c...
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Yaroslavl State University
2016-06-01
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Online Access: | https://www.mais-journal.ru/jour/article/view/338 |
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doaj-ad405fd70edd42c1ab94eb73f22dbeae2021-07-29T08:15:21ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172016-06-0123324024710.18255/1818-1015-2016-3-240-247295FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior LayerS. Becher0Institut fuЁr Numerische Mathematik, Technische UniversitaЁt Dresden, 01062 Dresden, DeutschlandWe 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 ε-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings.https://www.mais-journal.ru/jour/article/view/338singular perturbationturning pointinterior layerlayer-adapted mesheshigher order finite elements |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
S. Becher |
spellingShingle |
S. Becher FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer Modelirovanie i Analiz Informacionnyh Sistem singular perturbation turning point interior layer layer-adapted meshes higher order finite elements |
author_facet |
S. Becher |
author_sort |
S. Becher |
title |
FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer |
title_short |
FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer |
title_full |
FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer |
title_fullStr |
FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer |
title_full_unstemmed |
FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer |
title_sort |
fem-analysis on layer-adapted meshes for turning point problems exhibiting an interior layer |
publisher |
Yaroslavl State University |
series |
Modelirovanie i Analiz Informacionnyh Sistem |
issn |
1818-1015 2313-5417 |
publishDate |
2016-06-01 |
description |
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 ε-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings. |
topic |
singular perturbation turning point interior layer layer-adapted meshes higher order finite elements |
url |
https://www.mais-journal.ru/jour/article/view/338 |
work_keys_str_mv |
AT sbecher femanalysisonlayeradaptedmeshesforturningpointproblemsexhibitinganinteriorlayer |
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1721256495143714816 |