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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
An-Najah National University
2018-12-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| Subjects: | |
| Online Access: | https://journals.najah.edu/media/journals/full_texts/3_Ex70iBg.pdf |
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| Summary: | 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. |
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| ISSN: | 1727-2114 2311-8865 |