Finite Elements-based Optimization

Present book is a cookbook for students and researchers to understand the finite element method and optimization methods, coupling them to effect shape optimization. Contains pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element program capable of shape optimization.

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This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization.

Features



Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization
Presents simple approach with algorithms for synthesis
Focuses on automated computer aided design (CAD) of electromagnetic devices
Provides a unitary framework involving optimization and numerical modelling
Discusses how to integrate open-source mesh generators into your code
Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today
Includes coupled problem optimization using hyperthermia as an example