Coefficient identification in parabolic equations

DOI10.1016/j.amc.2008.12.062zbMath1162.65049OpenAlexW2019435194MaRDI QIDQ1008604

Baiyu Wang, Zhen-Hai Liu

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.062

zbMATH Keywords

inverse problemsnonlinear parabolic equationscoefficient identificationadjoint problem approachcoefficient-to-data mapping

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

A numerical method based on the polynomial regression for the inverse diffusion problem ⋮ Inverse coefficient problems for elliptic hemivariational inequalities ⋮ Moving least squares method for a one-dimensional parabolic inverse problem ⋮ Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation ⋮ Two dimensional determination of source terms in linear parabolic equation from the final overdetermination

Cites Work

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• An inverse coefficient problem for a nonlinear parabolic variational inequality
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Inverse coefficient problems for monotone potential operators
• Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities
• Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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