Simultaneous reconstruction of shape and impedance in corrosion detection

DOI10.4310/MAA.2010.v17.n4.a3zbMath1219.35071MaRDI QIDQ554764

Fioralba Cakoni, Rainer Kress, Christian Schuft

Publication date: 22 July 2011

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1306249557

zbMATH Keywords

nonlinear integral equationsinverse boundary value problemsmixed boundary value problemsshape reconstructioncorrosion detectiondetermination of boundary coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems for integral equations (45Q05)

Related Items (9)

Reconstruction for shape and impedance in an inverse scattering problem ⋮ Corrosion shape reconstruction of the mixed boundary in electrostatic imaging ⋮ Inverse scattering for shape and impedance revisited ⋮ Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative ⋮ Reconstruction for cavities with impedance boundary condition ⋮ Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients ⋮ Integral Equation Method for Inverse Scattering Problem from the Far-Field Data ⋮ Recovering the boundary corrosion from electrical potential distribution using partial boundary data ⋮ Joint estimation of Robin coefficient and domain boundary for the Poisson problem

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