Finite Elements-based Optimization

S. Ratnajeevan H. Hoole, B.Sc. Eng. Hons Cey., M.Sc. with Mark of Distinction London, Ph.D. Carnegie Mellon, is Professor of Electrical and Computer Engineering at Michigan State University in the US. For his accomplishments in electromagnetic product synthesis the University of London awarded him its higher doctorate, the D.Sc. (Eng.) degree, in 1993, and the IEEE elevated him to the grade of Fellow in 1995 with the citation "For contributions to computational methods for design optimization of electrical devices." His paper on using his inverse problem methods from design for NDE is widely cited, as is his paper on neural networks for the same purpose. These appear in The IEEE Transactions on Magnetics (1991 and 1993, respectively). He has authored 5 engineering texts published by Elsevier, another by Elsevier now carried by Prentice Hall, Oxford, Cambridge (India) and WIT Press. Prof. Hoole has been Vice Chancellor of University of Jaffna in Sri Lanka, and as Member of the University Grants Commission there, was responsible with six others for the regulation of the administration and academic standards of all 15 Sri Lankan universities and their admissions and funding. He has contributed widely to the learned literature on Tamil studies and been a regular columnist in newspapers. Prof. Hoole has been trained in Human Rights Research and Teaching at The René Cassin International Institute of Human Rights, Strasbourg, France, and has pioneered teaching human rights in the engineering curriculum. 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.

1 Analysis versus Design through Synthesis 2 Analysis in Electromagnetic Product Design 3 Optimization in Product Design – Synthesis 4 Some Basic Matrix Solution Schemes 5 Matrix Computation with Sparse Matrices 6 Other Formulations, Equations and Elements 7 Parametric Mesh Generation for Optimization 8 Parallelization through the Graphics Processing Unit 9 Coupled Problems