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This book presents modern functional analytic methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems.
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| $99.99 | Digital |
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Stefano Atzori
reviewed Introduction to shape optimization on July 26, 2015
Introduction to shape optimization
Picked this up to go along with our gauche, everything-wrong-with-American-math-education, "with media applications!" $80 hardback piece of doggerel for DiffEQ freshman year. Unfortunately, this is of the everything-wrong-with-anonymous-Eastern-European-publishing-as-bought-for-pennies-on-the-Bulgarian-lev-by-Dover school. Between the two, I'm unsure how I ever managed an A in MATH 2403, except that it was a stupidly easy summer instance.
Man, I used to be able to do any calculus problem I looked at, in my head, largely instantaneously. I can't do that anymore :/. On the other hand, over the years I've gotten better at counting very quickly and Applied Gambling, which I suppose is more applicable to my current work.
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