Boundary voltage perturbations resulting from small surface changes of a conductivity inclusion

DOI10.1080/00036811.2012.755734zbMath1297.35082OpenAlexW1992829412WikidataQ58248617 ScholiaQ58248617MaRDI QIDQ5413826

Habib Zribi, Abdessatar Khelifi

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.755734

zbMATH Keywords

generalized polarization tensorssmall boundary perturbationhigh-order termsleading order terms

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear higher-order PDEs (35G20) Optimization of shapes other than minimal surfaces (49Q10) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (9)

Analytical shape recovery of a conductivity inclusion based on Faber polynomials ⋮ Reconstructing small perturbations of an obstacle for acoustic waves from boundary measurements on the perturbed shape itself ⋮ Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary ⋮ Small pertubations of an interface for Stokes system ⋮ An asymptotic expansion for perturbations in the displacement field due to the presence of thin interfaces ⋮ Small perturbation of a surface: full Maxwell's equations ⋮ Small perturbations of an interface for elastostatic problems ⋮ Asymptotic expansions for the voltage potentials with two-dimensional and three-dimensional thin interfaces ⋮ Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion

Cites Work

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• Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
• Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
• Recovery of small perturbations of an interface for an elliptic inverse problem via linearization
• The determination of a discontinuity in a conductivity from a single boundary measurement
• High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter
• Asymptotic expansions for currents caused by small interface changes of an electromagnetic inclusion
• An improved operator expansion algorithm for direct and inverse scattering computations
• Reconstruction of Closely Spaced Small Inclusions

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