Using Linearization and Penalty Approach to Solve Optimal Shape Design Problem with an Obstacle
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Authors
Alireza Fakharzadeh Jahromi
- Dept. of Maths, Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran, P. O. Box, 71555. 313.
Hajar Alimorad
- Dept. of Maths, Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran.
Zahra Rafiei
- Dept. of Maths, Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran.
Abstract
To obtain the best domain of an elliptic boundary control problems, with and without abstacle, two approches are presented. The based measure method, apply a linearization technique and find the optimal domain and trajectory via a solution of finite linear method by using an optimization search technique. In the second one, by introducing the penalty function and then emplaying the finite element method the optimal domain for the same problem determind. The comparison between two methods is done via presenting some numerical simulations.
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ISRP Style
Alireza Fakharzadeh Jahromi, Hajar Alimorad, Zahra Rafiei, Using Linearization and Penalty Approach to Solve Optimal Shape Design Problem with an Obstacle, Journal of Mathematics and Computer Science, 7 (2013), no. 1, 43 - 53
AMA Style
Jahromi Alireza Fakharzadeh, Alimorad Hajar, Rafiei Zahra, Using Linearization and Penalty Approach to Solve Optimal Shape Design Problem with an Obstacle. J Math Comput SCI-JM. (2013); 7(1):43 - 53
Chicago/Turabian Style
Jahromi, Alireza Fakharzadeh, Alimorad, Hajar, Rafiei, Zahra. "Using Linearization and Penalty Approach to Solve Optimal Shape Design Problem with an Obstacle." Journal of Mathematics and Computer Science, 7, no. 1 (2013): 43 - 53
Keywords
- Shape optimization
- Measure
- Penalty approach
- Finite element method
- obstacle.
MSC
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