A boundary element method for the numerical inversion of discontinuous anisotropic conductivities.

DOI10.1016/S0955-7997(02)00111-XzbMath1037.78018OpenAlexW2019749081MaRDI QIDQ1399214

Nicolae S. Mera, Daniel Lesnic

Publication date: 30 July 2003

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(02)00111-x

zbMATH Keywords

numerical inversioninverse conductivity problemsAnisotropic inclusions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Boundary element methods applied to problems in optics and electromagnetic theory (78M15)

Related Items (3)

Electrical resistance tomography for locating inclusions using analytical boundary element integrals and their partial derivatives ⋮ Mechanical quadrature methods and their extrapolations for solving boundary integral equations of the conductivity problem with discontinuous media ⋮ An inverse source problem for the convection‐diffusion equation

Uses Software

• NAG
• nag

Cites Work

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• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• On the uniqueness in the inverse conductivity problem
• Efficient 2D and 3D electrical impedance tomography using dual reciprocity boundary element techniques
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• Conformal uniqueness results in anisotropic electrical impedance imaging
• Determining anisotropic real-analytic conductivities by boundary measurements
• An anisotropic inverse boundary value problem
• On uniqueness of recovery of a discontinuous conductivity coefficient
• Size estimation of inclusion
• The Inverse Conductivity Problem with One Measurement: Uniqueness for Convex Polyhedra
• The determination of a discontinuity in a conductivity from a single boundary measurement
• On reconstruction in the inverse conductivity problem with one measurement
• The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
• Identification of domains with near-extreme conductivity: global stability and error estimates
• Identification of the shape of the inclusion in the anisotropic elastic body
• The layer potential technique for the inverse conductivity problem
• Numerical inversion of discontinuous conductivities

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