Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method

DOI10.1088/1361-6420/aa5fc0zbMath1372.35368OpenAlexW2586464361MaRDI QIDQ5268469

Haibing Wang, Gen Nakamura

Publication date: 20 June 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/aa5fc0

zbMATH Keywords

Green's functionNeumann-to-Dirichlet mapnumerical reconstructionRobin inclusion

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Green's functions for elliptic equations (35J08)

Related Items (7)

Numerical solutions of the forward and inverse problems arising in diffuse optical tomography ⋮ A direct method for reconstructing inclusions and boundary conditions from electrostatic data ⋮ On the cavity detection in a heat conductive medium from time-average boundary temperature measurement ⋮ On the non-linear integral equation approach for an inverse boundary value problem for the heat equation ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions ⋮ Estimation of the Heat Conducted by a Cluster of Small Cavities and Characterization of the Equivalent Heat Conduction

Uses Software

• Regularization tools

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