A Time-Dependent Direct Sampling Method for Recovering Moving Potentials in a Heat Equation

DOI10.1137/16M1090831zbMath1471.35326MaRDI QIDQ4584928

Jun Zou, Yat Tin Chow, Kazufumi Ito

Publication date: 5 September 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

inverse heat equationdiffusive optical tomographymoving potential reconstructiontime-dependent direct sampling method

Mathematics Subject Classification ID

Diffusion (76R50) Biological applications of optics and electromagnetic theory (78A70) Inverse problems for PDEs (35R30) Diffusion processes (60J60) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23)

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