Title data
Schiela, Anton ; Ortiz, Julian:
Second order directional shape derivatives.
Bayreuth
,
2017
.  29 p.
Official URL:
Abstract in another language
We propose a variant in the definition of a second order shape derivative. The result is a quadratic form in terms of one perturbation vector field that yields a second order quadratic model of the perturbed functional. We discuss the structure of this derivative, derive domain expressions and Hadamard forms in a general geometric framework, and give a detailed geometric interpretation of the arising terms.
Further data
Item Type: 
Preprint, postprint, working paper, discussion paper

Keywords: 
shape optimization; shape derivative; shape hessian

Subject classification: 
AMS MSC 2010: 53A07, 49Q10, 49Q12

Institutions of the University: 
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics)  Univ.Prof. Dr. Lars Grüne) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) > Chair Applied Mathematics (Applied Mathematics)  Univ.Prof. Dr. Anton Schiela Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields 
Result of work at the UBT: 
Yes 
DDC Subjects: 
500 Science > 510 Mathematics 
Date Deposited: 
25 Mar 2017 22:00 
Last Modified: 
28 Feb 2019 11:52 
URI: 
https://eref.unibayreuth.de/id/eprint/36666 
Available Versions of this Item

Second order directional shape derivatives. (deposited 25 Mar 2017 22:00)
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