Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14283
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Main Title: 2nd Order Shape Optimization using Wavelet BEM
Author(s): Eppler, Karsten
Harbrecht, Helmut
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15510
http://dx.doi.org/10.14279/depositonce-14283
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: This present paper is concerned with second order methods for a class of shape optimization problems. We employ a complete boundary integral representation of the shape Hessian which involves first and second order derivatives of the state and the adjoint state function, as well as normal derivatives of its local shape derivatives. We introduce a boundary integral formulation to compute these quantities. The derived boundary integral equations are solved efficiently by a wavelet Galerkin scheme. A numerical example validates that, in spite of the higher effort of the Newton method compared to first order algorithms, we obtain more accurate solutions in less computational time.
Subject(s): shape optimization
boundary element method
multiscale methods
augmented Lagrangian approach
Newton method
Issue Date: 1-Mar-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49Q10 Optimization of shapes other than minimal surfaces
65N38 Boundary element methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 06
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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