Numerical reconstruction of a piecewise constant Robin parameter in the two- or three-dimensional case

DOI10.1088/0266-5611/28/6/065016zbMath1245.35148OpenAlexW2092314118MaRDI QIDQ2898432

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Publication date: 11 July 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/28/6/065016

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Uniqueness and stable determination in the inverse Robin transmission problem with one electrostatic measurement ⋮ Numerical identification of Robin coefficient by a Kohn–Vogelius type regularization method ⋮ Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg-Marquardt method ⋮ A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem ⋮ A numerical estimation of the piecewise constant Robin coefficient by identifying its discontinuous points ⋮ Steady-state inhomogeneous diffusion with generalized oblique boundary conditions ⋮ Estimation of a Regularisation Parameter for a Robin Inverse Problem ⋮ Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem ⋮ Numerical identification of a sparse Robin coefficient ⋮ Numerical methods for piecewise constant Robin coefficient ⋮ On a logarithmic stability estimate for an inverse heat conduction problem ⋮ The numerical solution of forward and inverse Robin problems for Laplace's equation

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