Numerical implementations of dynamical probe method for non-stationary heat equation

DOI10.1016/j.amc.2009.01.072zbMath1162.65393OpenAlexW2062458672MaRDI QIDQ1021686

J. Martínez

Publication date: 9 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.072

zbMATH Keywords

inverse problemheat conductionnumericsprobe method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Improved asymptotic analysis for dynamical probe method ⋮ Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor ⋮ Reconstruction algorithm for unknown cavities via Feynman-Kac type formula

Cites Work

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• The No Response Test---A Sampling Method for Inverse Scattering Problems
• The scattering support
• A simple method for solving inverse scattering problems in the resonance region
• A probe method for the inverse boundary value problem of non-stationary heat equations
• Extracting discontinuity in a heat conductive body. One-space dimensional case
• Linear integral equations

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