Numerical Methods in Sensitivity Analysis and Shape Optimization
Samenvatting
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 change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers.
Numerical Methods in Sensitivity Analysis and Shape Optimization 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.
Specificaties
Inhoudsopgave
Acknowledgements
Basic Formulations
Finite Dimensional Optimization
Newton's Algorithms
Constrained Optimization
Automatic Differentiation
Computing Gradients by Adjoint States
Applications
One Shot Methods
Conclusions
A: Subroutine cubspl
B: Prototype Programmes for the Optimization Code
C: Odyssee User's Manual (short version)
D: A Subroutine computing the Gradient with respect to the Grid for the Steady Aerodynamic Example
Bibliography
Index