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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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2016-06-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/338 |
| _version_ | 1797877893871697920 |
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| author | S. Becher |
| author_facet | S. Becher |
| author_sort | S. Becher |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-10T02:24:15Z |
| format | Article |
| id | doaj.art-ad405fd70edd42c1ab94eb73f22dbeae |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:24:15Z |
| publishDate | 2016-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-ad405fd70edd42c1ab94eb73f22dbeae2023-03-13T08:07:34ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172016-06-0123324024710.18255/1818-1015-2016-3-240-247295FEM-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/338сингулярные возмущенияточка поворотавнутренний слойадаптированные к слою сеткиконечные элементы высокого порядка |
| spellingShingle | S. Becher FEM-analysis on Layer-adapted Meshes for Turning Point Problems Exhibiting an Interior Layer Моделирование и анализ информационных систем сингулярные возмущения точка поворота внутренний слой адаптированные к слою сетки конечные элементы высокого порядка |
| title | 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_short | 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 |
| topic | сингулярные возмущения точка поворота внутренний слой адаптированные к слою сетки конечные элементы высокого порядка |
| url | https://www.mais-journal.ru/jour/article/view/338 |
| work_keys_str_mv | AT sbecher femanalysisonlayeradaptedmeshesforturningpointproblemsexhibitinganinteriorlayer |