Shape optimization method for an inverse geometric source problem and stability at critical shape

DOI10.3934/dcdss.2021006zbMath1490.49027OpenAlexW3120693690MaRDI QIDQ2673641

M. Nachaoui, Chorouk Masnaoui, Lekbir Afraites

Publication date: 10 June 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021006

zbMATH Keywords

shape optimizationfirst order and second order shape derivativesinverse geometric source problemleast squares and Kohn-Vogelius cost functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

A new coupled complex boundary method (CCBM) for an inverse obstacle problem ⋮ On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems ⋮ A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels

Uses Software

• FreeFem++

Cites Work

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