BOZEMAN_1994.TEX
Discretization of Cost and Sensitivities in Shape Optimization

I attended the 4th Conference on Computation, Control, and Biological Systems, at Montana State University in Bozeman, Montana, held in 1994. I gave a 25 minute presentation there with the title

Discretization of Cost and Sensitivities in Shape Optimization

A PDF version is available as ../../presentations/bozeman_1994.pdf.

The following files constitute the LaTeX file used to create the paper:

• bozeman_1994.tex, the LaTeX file;
• fig01.png, an aircraft engine and forebody simulator in a wind tunnel;
• fig02.png, the derivative of velocity with respect to the inflow parameter;
• fig03.png, the derivative of velocity with respect to the bump parameter;
• fig04.png, the functional plotted on a line between local and global minimizers;
• fig05.png, the locally minimizing flow produced by the optimizer;
• fig06.png, contours for J2 on a plane including local and global minimizers;
• fig07.png, contours for J3 on the same plane, with epsilon = 0.0002;
• fig08.png, J1(alpha), with sampling line at Xs = 9;
• fig09.png, dJ1/dalpha by finite differences;
• fig10.png, dJ1/dalpha by sensitivities;
• fig11.png, J2(alpha) with sampling line at Xs = 3;
• fig12.png, dJ2/dalpha by finite differences and sensitivities;
• fig13.png, gradients approximated by sensitivities;