A probe method for the inverse boundary value problem of non-stationary heat equations

DOI10.1088/0266-5611/23/5/002zbMath1126.35092OpenAlexW2052778544MaRDI QIDQ5424708

Gen Nakamura, Hyeonbae Kang, Yuki Daido

Publication date: 6 November 2007

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

Full work available at URL: https://doi.org/10.1088/0266-5611/23/5/002

zbMATH Keywords

Neumann to Dirichlet mapinclusion inside an isotropic homogeneous heat conductive medium

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Recovering time-dependent inclusion in heat-conductive bodies using a dynamical probe method ⋮ Improved asymptotic analysis for dynamical probe method ⋮ Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor ⋮ Numerical solutions of the forward and inverse problems arising in diffuse optical tomography ⋮ Stabilizing the nonlinear spherically symmetric backward heat equation via two-parameter regularization method ⋮ The direct and inverse problem for an inclusion within a heat-conducting layered medium ⋮ On the axisymmetric backward heat equation with non-zero right hand side: regularization and error estimates ⋮ Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions ⋮ Numerical implementations of dynamical probe method for non-stationary heat equation ⋮ Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case

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