Description: Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local changes of data, or to improve its performance by local optimization. It will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Review Quotes:
"The focus of this book is finite-dimensional constrained optimization problems which arise by discretizing shape optimization problems of [a particular] type.... In the major part of the book the authors recall the basic principles of constrained optimization, describe variants of Newton's algorithm to solve the necessary optimality conditions and discuss analytic and automatic techniques to calculate the derivative of j with respect to the design variable z." --Mathematical Reviews
"Many illustrative examples and numerical results clarify the presentation. The book will be of interest to graduate students involved in mathematical modeling and simulation, as well as to engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design." --Zentralblatt Math