Shape Optimization of an Imperfect Interface: Steady-State Heat Diffusion

Grégoire Allaire (), Beniamin Bogosel () and Matías Godoy ()
Additional contact information
Grégoire Allaire: Institut Polytechnique de Paris
Beniamin Bogosel: Institut Polytechnique de Paris
Matías Godoy: Institut Polytechnique de Paris

Journal of Optimization Theory and Applications, 2021, vol. 191, issue 1, No 7, 169-201

Abstract: Abstract In the context of a diffusion equation, this work is devoted to a two-phase optimal design problem where the interface, separating the phases, is imperfect, meaning that the solution is discontinuous, while the normal flux is continuous and proportional to the jump of the solution. The shape derivative of an objective function with respect to the interface position is computed by the adjoint method. Numerical experiments are performed with the level set method and an exact remeshing algorithm so that the interface is captured by the mesh at each optimization iteration. Comparisons with a perfect interface are discussed in the setting of optimal design or inverse problems.

Keywords: Imperfect interfaces; Shape optimization; Level set method (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-021-01928-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:191:y:2021:i:1:d:10.1007_s10957-021-01928-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-021-01928-6

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().