On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation

DOI10.1051/cocv/2017056zbMath1445.35325OpenAlexW2747490753MaRDI QIDQ5107934

Fabien Caubet, Jérémi Dardé, Matías Godoy

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2017056

zbMATH Keywords

regularizationCauchy problemshape optimization problemLaplace's equationgeometric inverse probleminverse obstacle problemKohn-Vogelius functionaldata completion problem

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Optimization of shapes other than minimal surfaces (49Q10) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (3)

A New Method for the Data Completion Problem and Application to Obstacle Detection ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ A dual approach to Kohn–Vogelius regularization applied to data completion problem

Uses Software

• FreeFem++

Cites Work

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