Determining the boundary of a two-dimensional region from the solution of the external initial boundary-value problem for the heat equation

DOI10.1007/s10598-010-9061-yzbMath1205.65257OpenAlexW2049903631MaRDI QIDQ616563

S. G. Golovina, A. G. Razborov

Publication date: 10 January 2011

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-010-9061-y

zbMATH Keywords

heat equationnumerical examplesinverse problemsintegral equation methodinitial boundary-value problemboundary determination

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) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

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Reconstruction of the discontinuity line of a piecewise-constant coefficient in the two-dimensional internal initial-boundary value problem for the homogeneous heat equation

Cites Work

• The linearization method in the inverse problem of determination of low-permeability zones in an oil-bearing layer
• The inverse problem of determining low-permeability zones in an oil-bearing layer