Monotonicity Method for Extreme, Singular and Degenerate Inclusions in Electrical Impedance Tomography

Explore the monotonicity method for extreme, singular, and degenerate inclusions in electrical impedance tomography in this 53-minute conference talk from the 41st Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series. Delve into the speaker's research on generalizing the method for extreme inclusions, including perfectly conducting or insulating parts of the domain. Learn how the conductivity perturbation can be extended to include singular and degenerate behavior in elliptic equations. Gain insights into electrical impedance demography, forward and inverse problems, convergence of nomenclature maps, monotonic relations, and monotonicity estimates. Understand the application of this method to indefinite inclusions and its implications for industrial and applied mathematics.

Introduction
Electrical impedance demography
Outline
Extreme inclusions
Forward problems
Inverse problems
Convergence of nomenclature maps
Monotonic relations
Monotonicity estimates
Indefinite inclusions
References