Shape optimization approach for solving the Bernoulli problem by tracking the Neumann data: a Lagrangian formulation

DOI10.3934/cpaa.2018127zbMath1394.35586OpenAlexW2805957917WikidataQ129687677 ScholiaQ129687677MaRDI QIDQ1660081

Julius Fergy T. Rabago, Jerico B. Bacani

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018127

zbMATH Keywords

minimax formulationLagrangian methodshape optimizationshape derivativeBernoulli problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

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Uses Software

• FreeFem++

Cites Work

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