The born approximation and Calderón's method for reconstruction of conductivities in 3-D
Year: 2011
Type: conference-paper
Abstract: Two algorithms for the direct reconstruction of conductivities ina bounded domain in $\mathbb{R}^3$ from surface measurements of the solutions to theconductivity equation are presented. The algorithms are based on complexgeometrical optics solutions and a nonlinear scattering transform. We test thealgorithms on three numerically simulated examples, including an example witha complex coefficient. The spatial resolution and amplitude of the examplesare well-reconstructed.
Source: AIMS Press eBooks
Authors: Kim Knudsen, Jennifer L. Mueller
Institution: Technical University of Denmark
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W2797102009