Finite Elements-based Optimization: Electromagnetic Product Design and Nondestructive Evaluation, 1st Edition (Hardback) book cover

Finite Elements-based Optimization

Electromagnetic Product Design and Nondestructive Evaluation, 1st Edition

By S. Ratnajeevan H. Hoole

CRC Press

336 pages | 165 B/W Illus.

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Hardback: 9781498759465
pub: 2019-08-13
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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.


  • 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

Table of Contents

The Finite Element Method. In One-dimension. In Two dimensions. In Three dimesnions. Visualization and Postprocessing. Mesh

Generation and Open Source Software. High Order Elements. The Galerkin Method. Competing Methods. The Finite Difference

Method. The Boundary Element Method. Why Finite Elements. Mesh Generation and Postprocessing for Finite Elements.

Matrix Computation with Sparse Matrices. Gauss Iterations. Gaussian Triangulation. Cholesky Decomposition. Profile Storage.

Conjugate Gradient. Sparse Storage.Finite Elements in Electric Machines. High Frequency Problems and Vector Elements.

Optimization Methods. Formulation with Constraints. Search Methods. Zeroth Order Methods. Steepest Descent. Conjugate

Gradients. Multi-object Optimization. AI Techniques in Finite Element Optimization. Case Studies from Electromagnetic Product

Design. Case Studies from Nondestructive Evaluation.

About the Author

Yovahn Y. Ratnajeevan Hoole is a graduate student at the University of Illinois at Urbana Champaign. He holds a B.S. in Computer Science and a B.A. in Electrical Engineering from Rice University. He is currently working towards a doctorate in Electrical Engineering. His research interests are in Optimization, Machine Learning and their applications to real world engineering problems.

Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Power Resources / Electrical