Shape optimization of systems governed by Bernoulli free boundary problems

DOI10.1016/j.cma.2008.03.002zbMath1194.76031OpenAlexW2126077390WikidataQ109564581 ScholiaQ109564581MaRDI QIDQ995340

Jaroslav Haslinger, Jukka I. Toivanen, Raino A. E. Mäkinen

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://urn.fi/URN:ISBN:978-951-39-2860-5

zbMATH Keywords

free boundary problemshape optimizationBernoulli problem

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible inviscid fluids (76B75) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items

Topology optimization in Bernoulli free boundary problems, On free surface PDE constrained shape optimization problems, The second-order shape derivative of Kohn-Vogelius-type cost functional using the boundary differentiation approach, Improved trial methods for a class of generalized Bernoulli problems, On the first-order shape derivative of the Kohn-Vogelius cost functional of the Bernoulli problem, On a numerical shape optimization approach for a class of free boundary problems, Droplet Footprint Control, A physics-informed learning approach to Bernoulli-type free boundary problems

Uses Software

• SuperLU
• Netgen

Cites Work

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