The application of domain derivative for heat conduction with mixed condition in shape reconstruction

DOI10.1016/J.AMC.2006.02.011zbMath1112.65092OpenAlexW2047540130MaRDI QIDQ856062

Yi-Chen Ma, Wen-Jing Yan

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.011

zbMATH Keywords

iterative algorithminverse problemregularizationnumerical examples

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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Cites Work

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• Identification of a discontinuous source in the heat equation
• The domain derivative and two applications in inverse scattering theory
• On the numerical solution of an inverse boundary value problem for the heat equation
• The Landweber iteration applied to inverse conductive scattering problems
• Introduction to Shape Optimization
• Frechet derivatives in inverse obstacle scattering
• Iterative methods for the reconstruction of an inverse potential problem

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