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Main Title: Second order Lagrange multiplier approximation for constrained shape optimization problems
Author(s): Eppler, Karsten
Harbrecht, Helmut
Type: Research Paper
Abstract: The present paper is dedicated to the solution of constrained shape optimization problems by second order algorithms with respect to both, the primal and dual variables. This goal is realized by combining a Newton scheme for the primal variables with M\aa{}rtensson's concept of Lagrange multiplier functions for augmented Lagrangians.
Subject(s): shape optimization
boundary element method
multiscale methods
augmented Lagrangian approach
Newton method
Martensson's approach
Issue Date: 30-Sep-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
90C90 Applications of mathematical programming
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 35
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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