Recovery of small perturbations of an interface for an elliptic inverse problem via linearization

DOI10.1088/0266-5611/15/2/008zbMath0926.35166OpenAlexW2058433873MaRDI QIDQ4254389

Andreas Wiegmann, Carlos Tolmasky

Publication date: 29 November 1999

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

Full work available at URL: https://doi.org/10.1088/0266-5611/15/2/008

zbMATH Keywords

electrical impedance tomographynondestructive testingburied object of unknown shapeelectrostatic measurementsfind the conductivity distribution inside a regionFourier coefficients of the perturbationlinearization about an approximate shape

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary ⋮ Maxwell interface problems‐ existence and uniqueness of solutions for Maxwell's equations ⋮ Reconstructing small perturbations of scatterers from electric or acoustic far‐field measurements ⋮ Conductivity interface problems. Part I: Small perturbations of an interface ⋮ Asymptotic expansions for currents caused by small interface changes of an electromagnetic inclusion ⋮ Boundary voltage perturbations resulting from small surface changes of a conductivity inclusion ⋮ Small perturbation of a surface: full Maxwell's equations

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