A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique intro...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2021-09-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3670 |
| _version_ | 1818883975295270912 |
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| author | Younis Abid Sabawi |
| author_facet | Younis Abid Sabawi |
| author_sort | Younis Abid Sabawi |
| collection | DOAJ |
| description | The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time. |
| first_indexed | 2024-12-19T15:42:11Z |
| format | Article |
| id | doaj.art-269af5504f874778885faca87a6575ad |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-19T15:42:11Z |
| publishDate | 2021-09-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-269af5504f874778885faca87a6575ad2022-12-21T20:15:26ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862021-09-0118310.21123/bsj.2021.18.3.0522A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface ProblemsYounis Abid Sabawi0Department of Mathematics, Faculty of Science and Health, Koya University, Koya KOY45, Kurdistan Region – F.R. Iraq, and Department of Mathematics Education, Faculty of Education, Tishk International University, Kurdistan-Iraq: younis.abid@koyauniversity.org, younis.sabawi@ishik.edu.iqThe aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3670A posteriori error estimates, Discontinuous Galerkin methods, Interface semilinear parabolic problems. |
| spellingShingle | Younis Abid Sabawi A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems Baghdad Science Journal A posteriori error estimates, Discontinuous Galerkin methods, Interface semilinear parabolic problems. |
| title | A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems |
| title_full | A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems |
| title_fullStr | A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems |
| title_full_unstemmed | A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems |
| title_short | A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems |
| title_sort | posteriori l ∞ l 2 l 2 h 1 error bounds in discontinuous galerkin methods for semidiscrete semilinear parabolic interface problems |
| topic | A posteriori error estimates, Discontinuous Galerkin methods, Interface semilinear parabolic problems. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3670 |
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