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Mathematics > Optimization and Control

arXiv:1804.07913 (math)
[Submitted on 21 Apr 2018]

Title:Optimization of a plate with holes

Authors:Dan Tiba, Cornel Marius Murea
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Abstract:We consider a simply supported plate with constant thickness, defined on an unknown multiply connected domain. We optimize its shape according to some given performance functional. Our method is of fixed domain type, easy to be implemented, based on a fictitious domain approach and the control variational method. The algorithm that we introduce is of gradient type and performs simultaneous topological and boundary variations. Numerical experiments are also included and show its efficiency.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1804.07913 [math.OC]
  (or arXiv:1804.07913v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1804.07913
Journal reference: Comput. Math. Appl., 77 (2019) 11, 3010-3020
Related DOI: https://doi.org/10.1016/j.camwa.2018.08.037

Submission history

From: Cornel Marius Murea [view email]
[v1] Sat, 21 Apr 2018 08:02:05 UTC (307 KB)
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