Ebook: Multiobjective Shape Design in Electricity and Magnetism

Multiobjective Shape Design in Electricity and Magnetism is entirely focused on electric and magnetic field synthesis, with special emphasis on the optimal shape design of devices when conflicting objectives are to be fulfilled. Direct problems are solved by means of finite-element analysis, while evolutionary computing is used to solve multiobjective inverse problems. This approach, which is original, is coherently developed throughout the whole manuscript. The use of game theory, dynamic optimisation, and Bayesian imaging strengthens the originality of the book.

Covering the development of multiobjective optimisation in the past ten years, Multiobjective Shape Design in Electricity and Magnetism is a concise, comprehensive and up-to-date introduction to this research field, which is growing in the community of electricity and magnetism. Theoretical issues are illustrated by practical examples. In particular, a test problem is solved by different methods so that, by comparison of results, advantages and limitations of the various methods are made clear.

Topics covered include:

• Maxwell equations and boundary-value problems;
• Paretian optimality;
• static optimisation;
• game theory;
• dynamic optimisation;
• Bayesian imaging.

Multiobjective Shape Design in Electricity and Magnetism collects the long-lasting experience matured by the author during his research activity both at the university and in cooperation with industrial laboratories.

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Multiobjective Shape Design in Electricity and Magnetism is entirely focused on electric and magnetic field synthesis, with special emphasis on the optimal shape design of devices when conflicting objectives are to be fulfilled. Direct problems are solved by means of finite-element analysis, while evolutionary computing is used to solve multiobjective inverse problems. This approach, which is original, is coherently developed throughout the whole manuscript. The use of game theory, dynamic optimisation, and Bayesian imaging strengthens the originality of the book.

Covering the development of multiobjective optimisation in the past ten years, Multiobjective Shape Design in Electricity and Magnetism is a concise, comprehensive and up-to-date introduction to this research field, which is growing in the community of electricity and magnetism. Theoretical issues are illustrated by practical examples. In particular, a test problem is solved by different methods so that, by comparison of results, advantages and limitations of the various methods are made clear.

Topics covered include:

• Maxwell equations and boundary-value problems;
• Paretian optimality;
• static optimisation;
• game theory;
• dynamic optimisation;
• Bayesian imaging.

Multiobjective Shape Design in Electricity and Magnetism collects the long-lasting experience matured by the author during his research activity both at the university and in cooperation with industrial laboratories.

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Multiobjective Shape Design in Electricity and Magnetism is entirely focused on electric and magnetic field synthesis, with special emphasis on the optimal shape design of devices when conflicting objectives are to be fulfilled. Direct problems are solved by means of finite-element analysis, while evolutionary computing is used to solve multiobjective inverse problems. This approach, which is original, is coherently developed throughout the whole manuscript. The use of game theory, dynamic optimisation, and Bayesian imaging strengthens the originality of the book.

Covering the development of multiobjective optimisation in the past ten years, Multiobjective Shape Design in Electricity and Magnetism is a concise, comprehensive and up-to-date introduction to this research field, which is growing in the community of electricity and magnetism. Theoretical issues are illustrated by practical examples. In particular, a test problem is solved by different methods so that, by comparison of results, advantages and limitations of the various methods are made clear.

Topics covered include:

• Maxwell equations and boundary-value problems;
• Paretian optimality;
• static optimisation;
• game theory;
• dynamic optimisation;
• Bayesian imaging.

Multiobjective Shape Design in Electricity and Magnetism collects the long-lasting experience matured by the author during his research activity both at the university and in cooperation with industrial laboratories.

Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-4
Inverse Problems and Error Minimisation....Pages 5-25
A Paretian Approach to MOSD Theory....Pages 27-40
Field Models and Shape Design....Pages 41-62
Solving Multiobjective Optimisation Problems....Pages 63-92
A Field-Based Benchmark....Pages 93-101
Static MOSD....Pages 103-135
Moving Along the Pareto Front....Pages 137-146
Sensitivity Analysis and MOSD....Pages 147-155
Non-Conflicting Multiple Objectives....Pages 157-164
Higher-Order Dimensionality....Pages 165-173
Multi-Scale Evolution Strategy....Pages 175-184
Game Theory and MOSD....Pages 185-202
Dynamic MOSD....Pages 203-222
An Introduction to Bayesian Probability Theory....Pages 223-243
A Bayesian Approach to Multiobjective Optimisation....Pages 245-269
Bayesian Imaging and Shape Design....Pages 271-286
Conclusion....Pages 287-290
Back Matter....Pages 291-313

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Multiobjective Shape Design in Electricity and Magnetism is entirely focused on electric and magnetic field synthesis, with special emphasis on the optimal shape design of devices when conflicting objectives are to be fulfilled. Direct problems are solved by means of finite-element analysis, while evolutionary computing is used to solve multiobjective inverse problems. This approach, which is original, is coherently developed throughout the whole manuscript. The use of game theory, dynamic optimisation, and Bayesian imaging strengthens the originality of the book.

Covering the development of multiobjective optimisation in the past ten years, Multiobjective Shape Design in Electricity and Magnetism is a concise, comprehensive and up-to-date introduction to this research field, which is growing in the community of electricity and magnetism. Theoretical issues are illustrated by practical examples. In particular, a test problem is solved by different methods so that, by comparison of results, advantages and limitations of the various methods are made clear.

Topics covered include:

• Maxwell equations and boundary-value problems;
• Paretian optimality;
• static optimisation;
• game theory;
• dynamic optimisation;
• Bayesian imaging.

Multiobjective Shape Design in Electricity and Magnetism collects the long-lasting experience matured by the author during his research activity both at the university and in cooperation with industrial laboratories.

Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-4
Inverse Problems and Error Minimisation....Pages 5-25
A Paretian Approach to MOSD Theory....Pages 27-40
Field Models and Shape Design....Pages 41-62
Solving Multiobjective Optimisation Problems....Pages 63-92
A Field-Based Benchmark....Pages 93-101
Static MOSD....Pages 103-135
Moving Along the Pareto Front....Pages 137-146
Sensitivity Analysis and MOSD....Pages 147-155
Non-Conflicting Multiple Objectives....Pages 157-164
Higher-Order Dimensionality....Pages 165-173
Multi-Scale Evolution Strategy....Pages 175-184
Game Theory and MOSD....Pages 185-202
Dynamic MOSD....Pages 203-222
An Introduction to Bayesian Probability Theory....Pages 223-243
A Bayesian Approach to Multiobjective Optimisation....Pages 245-269
Bayesian Imaging and Shape Design....Pages 271-286
Conclusion....Pages 287-290
Back Matter....Pages 291-313
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