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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Main Author: S. Becher
Format: Article
Language:English
Published: Yaroslavl State University 2016-06-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/338
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spelling 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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