The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board
Thermal interaction between electronic components can cause temperature increasing on printed circuit board (PCB) that influences its performance. Due to this problem, thermal control system can be used in order to achieve high performance of electronic system. The numerical simulation which base...
| Main Authors: | , , , , |
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| Format: | Book Section |
| Published: |
Faculty of Science, Universiti Teknologi Malaysia
2009
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| _version_ | 1796854475384684544 |
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| author | Alias, Norma A. Ghaffar, Zarith Safiza Hamzah, Norhafiza Satam, Noriza M. Murid, Ali Hassan |
| author_facet | Alias, Norma A. Ghaffar, Zarith Safiza Hamzah, Norhafiza Satam, Noriza M. Murid, Ali Hassan |
| author_sort | Alias, Norma |
| collection | ePrints |
| description | Thermal interaction between electronic components can cause temperature increasing on printed circuit board (PCB) that influences its performance. Due to this problem,
thermal control system can be used in order to achieve high
performance of electronic system. The numerical simulation
which based on one dimensional heat equation is used to
obtain the temperature profile of PCB. This paper concentrates on implementation the preconditioner scheme called V-cycle multigrid method in solving thermal control system on PCB. Numerical iterative method of red black Gauss Seidel (GSRB) is used for smoothing process of V-cycle type. This paper will proposed the restriction and interpolation process to decrease and increase of the grid size of PCB. The result obtained will be compare with non-multigrid method. Numerical analysis evaluation under
consideration are time execution, computation complexity,
number of iterations, accuracy and convergence rate. |
| first_indexed | 2024-03-05T18:14:37Z |
| format | Book Section |
| id | utm.eprints-9027 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:14:37Z |
| publishDate | 2009 |
| publisher | Faculty of Science, Universiti Teknologi Malaysia |
| record_format | dspace |
| spelling | utm.eprints-90272017-09-02T02:16:36Z http://eprints.utm.my/9027/ The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board Alias, Norma A. Ghaffar, Zarith Safiza Hamzah, Norhafiza Satam, Noriza M. Murid, Ali Hassan Thermal interaction between electronic components can cause temperature increasing on printed circuit board (PCB) that influences its performance. Due to this problem, thermal control system can be used in order to achieve high performance of electronic system. The numerical simulation which based on one dimensional heat equation is used to obtain the temperature profile of PCB. This paper concentrates on implementation the preconditioner scheme called V-cycle multigrid method in solving thermal control system on PCB. Numerical iterative method of red black Gauss Seidel (GSRB) is used for smoothing process of V-cycle type. This paper will proposed the restriction and interpolation process to decrease and increase of the grid size of PCB. The result obtained will be compare with non-multigrid method. Numerical analysis evaluation under consideration are time execution, computation complexity, number of iterations, accuracy and convergence rate. Faculty of Science, Universiti Teknologi Malaysia 2009-05 Book Section PeerReviewed Alias, Norma and A. Ghaffar, Zarith Safiza and Hamzah, Norhafiza and Satam, Noriza and M. Murid, Ali Hassan (2009) The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board. In: Proceedings of Second International Conference and Workshops on Basic and Applied Sciences & Regional Annual Fundamental Science Seminar 2009. Faculty of Science, Universiti Teknologi Malaysia. ISBN 978â€983â€9805â€75â€8 https://www.researchgate.net/publication/44161108_The_Implementation_of_Multigrid_Method_for_Solving_Heat_Equation_of_Thermal_Control_System_on_Printed_Circuit_Board |
| spellingShingle | Alias, Norma A. Ghaffar, Zarith Safiza Hamzah, Norhafiza Satam, Noriza M. Murid, Ali Hassan The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title | The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title_full | The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title_fullStr | The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title_full_unstemmed | The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title_short | The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
| title_sort | implementation of multigrid method for solving heat equation of thermal control system on printed circuit board |
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