Second order directional shape derivatives

Title data

Schiela, Anton ; Ortiz, Julián:
Second order directional shape derivatives.
Bayreuth , 2017 . - 29 p.

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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
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 Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair 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:	18 Dec 2020 10:44
URI:	https://eref.uni-bayreuth.de/id/eprint/36666

Available Versions of this Item

Second order directional shape derivatives. (deposited 25 Mar 2017 22:00) [Currently Displayed]
- Second order directional shape derivatives. (deposited 28 Feb 2019 11:52)