Finite Elements-based Optimization

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.FeaturesEnables readers to understand the finite element method and optimization methods and couple them to effect shape optimizationPresents simple approach with algorithms for synthesisFocuses on automated computer aided design (CAD) of electromagnetic devicesProvides a unitary framework involving optimization and numerical modellingDiscusses how to integrate open-source mesh generators into your codeIndicates 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 todayIncludes coupled problem optimization using hyperthermia as an example