Shape Optimization with Nonlinear Conjugate Gradient Methods

In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corresponding theoretical background and investigate their performance numerically. The obtained results confirm that the NCG...

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Bibliographic Details
Published in:	arXiv.org
Main Author:	Blauth, Sebastian
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 11.01.2023
Subjects:	Algorithms Conjugate gradient method Optimization Shape optimization
ISSN:	2331-8422
Online Access:	Get full text
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Summary:	In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corresponding theoretical background and investigate their performance numerically. The obtained results confirm that the NCG methods are efficient and attractive solution algorithms for shape optimization problems.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.2201.05394