URN to cite this document: urn:nbn:de:bvb:703epub42273
Title data
Schiela, Anton ; Ortiz, Julián:
Second order directional shape derivatives.
Bayreuth
,
2019
.  25 S.
This is the latest version of this item.
Project information
Project title: 
Project's official title Project's id DFGProjekt "Optimierung auf Mannigfaltigkeiten für die numerische Lösung von gleichungsbeschränkten Variationsproblemen" SCHI 1379/31 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract
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 
DDC Subjects:  500 Science > 510 Mathematics 
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 
Language:  English 
Originates at UBT:  Yes 
URN:  urn:nbn:de:bvb:703epub42273 
Date Deposited:  28 Feb 2019 11:49 
Last Modified:  18 Dec 2020 10:42 
URI:  https://epub.unibayreuth.de/id/eprint/4227 
Available Versions of this Item

Second order directional shape derivatives. (deposited 24 Mar 2017 09:34)
 Second order directional shape derivatives. (deposited 28 Feb 2019 11:49) [Currently Displayed]