The “Exterior Approach" Applied to the Inverse Obstacle Problem for the Heat Equation

DOI10.1137/16M1093872MaRDI QIDQ4976111

Laurent Bourgeois, Jérémi Dardé

Publication date: 27 July 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05682

zbMATH Keywords

heat equationlevel set methodmixed formulationinverse obstacle problemquasi-reversibility methodtensorized finite element

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35)

Related Items

Quantification of the unique continuation property for the heat equation ⋮ A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems ⋮ An inverse obstacle problem for the wave equation in a finite time domain

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