Derivative free multilevel optimization
Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to t...
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Published in | TWMS journal of applied and engineering mathematics Vol. 5; no. 1; pp. 46 - 60 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Istanbul
Turkic World Mathematical Society
01.01.2015
Elman Hasanoglu |
Subjects | |
Online Access | Get full text |
ISSN | 2146-1147 2146-1147 |
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Abstract | Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved. Keywords: Derivative-free optimization; multilevel optimization; shape optimization; trust-region methods. AMS Subject Classification: 90C30, 65K05, 90C26, 90C06, 90C56 ; 65D05. |
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AbstractList | Optimization problems with different levels arise by discretization of ordi¬nary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved. Optimization problems with different levels arise by discretization of ordi[notnary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved. Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved. Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the algorithm is shown on a shape optimization problem and global convergence to the first order critical point is proved. Keywords: Derivative-free optimization; multilevel optimization; shape optimization; trust-region methods. AMS Subject Classification: 90C30, 65K05, 90C26, 90C06, 90C56 ; 65D05. |
Audience | Academic |
Author | Karasozen, B |
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Copyright | COPYRIGHT 2015 Turkic World Mathematical Society Copyright Elman Hasanoglu 2015 |
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Snippet | Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based... Optimization problems with different levels arise by discretization of ordi¬nary and partial differential equations. We present a trust-region based... Optimization problems with different levels arise by discretization of ordi[notnary and partial differential equations. We present a trust-region based... |
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SubjectTerms | Algorithms Convergence Derivatives Discretization Mathematical analysis Mathematical research Multilevel Multilevel analysis Optimization Optimization theory Partial differential equations Theoretical mathematics |
Title | Derivative free multilevel optimization |
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