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 inTWMS journal of applied and engineering mathematics Vol. 5; no. 1; pp. 46 - 60
Main Author Karasozen, B
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2015
Elman Hasanoglu
Subjects
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ISSN2146-1147
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.
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.
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Copyright COPYRIGHT 2015 Turkic World Mathematical Society
Copyright Elman Hasanoglu 2015
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Elman Hasanoglu
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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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