On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods
In this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries. For the numerical realization of the Fredholm integral equation, we use the boundary element method based on the Galerkin weighted residuals met...
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| Format: | Article |
| Language: | English |
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An-Najah National University
2018-12-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
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| Online Access: | https://journals.najah.edu/media/journals/full_texts/3_Ex70iBg.pdf |
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| author | Naji Qatanani AbdelLatif Sa'adAldin |
| author_facet | Naji Qatanani AbdelLatif Sa'adAldin |
| author_sort | Naji Qatanani |
| collection | DOAJ |
| description | In this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries. For the numerical realization of the Fredholm integral equation, we use the boundary element method based on the Galerkin weighted
residuals method. Consequently, converting the original integral equation into a set of algebraic equations. We apply the multigrid iterations to solve the system of linear equations. To demonstrate the efficiency of this iterative scheme, we construct numerical example. |
| format | Article |
| id | doaj-art-fedb092e3fe14a869bed514f3f061597 |
| institution | DOAJ |
| issn | 1727-2114 2311-8865 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | An-Najah National University |
| record_format | Article |
| series | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| spelling | doaj-art-fedb092e3fe14a869bed514f3f0615972025-08-20T03:23:35ZengAn-Najah National Universityمجلة جامعة النجاح للأبحاث العلوم الطبيعية1727-21142311-88652018-12-01331455610.35552/anujr.a.33.1.1614On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid MethodsNaji Qatanani0AbdelLatif Sa'adAldin1NoneNoneIn this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries. For the numerical realization of the Fredholm integral equation, we use the boundary element method based on the Galerkin weighted residuals method. Consequently, converting the original integral equation into a set of algebraic equations. We apply the multigrid iterations to solve the system of linear equations. To demonstrate the efficiency of this iterative scheme, we construct numerical example.https://journals.najah.edu/media/journals/full_texts/3_Ex70iBg.pdfmultigrid iterations.heat conductionfredholm integral equationboundary element method |
| spellingShingle | Naji Qatanani AbdelLatif Sa'adAldin On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods مجلة جامعة النجاح للأبحاث العلوم الطبيعية multigrid iterations. heat conduction fredholm integral equation boundary element method |
| title | On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods |
| title_full | On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods |
| title_fullStr | On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods |
| title_full_unstemmed | On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods |
| title_short | On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods |
| title_sort | on the numerical treatment of heat conduction problem by boundary element and multigrid methods |
| topic | multigrid iterations. heat conduction fredholm integral equation boundary element method |
| url | https://journals.najah.edu/media/journals/full_texts/3_Ex70iBg.pdf |
| work_keys_str_mv | AT najiqatanani onthenumericaltreatmentofheatconductionproblembyboundaryelementandmultigridmethods AT abdellatifsaadaldin onthenumericaltreatmentofheatconductionproblembyboundaryelementandmultigridmethods |