URN to cite this document: urn:nbn:de:bvb:703-epub-4227-3
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 DFG-Projekt "Optimierung auf Mannigfaltigkeiten für die numerische Lösung von gleichungsbeschränkten Variationsproblemen" SCHI 1379/3-1 |
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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 |
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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:703-epub-4227-3 |
Date Deposited: | 28 Feb 2019 11:49 |
Last Modified: | 18 Dec 2020 10:42 |
URI: | https://epub.uni-bayreuth.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]