A new non-iterative inversion method for electrical resistance tomography

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Monotonicity-based inversion of the fractional Schr\"odinger equation (2017, background): “Also, several recent works build practical reconstruction methods on monotonicity properties [24, 25, 26, 27, 28, 38, 42, 43, 48, 64, 74, 75, 76, 77, 80].”
Monotonicity and local uniqueness for the Helmholtz equation (2017, background): “ions and blow-up arguments. Monotonicity-based methods for detecting regions (or inclusions) where a coeﬃcient function diﬀers from a known background have been introduced by Tamburrino and Rubinacci [TR02] for the inverse conductivity problem. [TR02] proposed to simulate boundary measurements for a”
Electrical impedance tomography using level set representation and total variational regularization (2005, methodology): “For two-phase problems, the monotonicity method of [37,38] seems to be rather efficient and accurate.”
EIT reconstruction algorithms: pitfalls, challenges and recent developments (2003, methodology): “The monotonicity method of Tamburrino et al [ 66 ] relies on the monotonicity of the map � 7→ R� where � is the real resistivity and R� the transfer impedance matrix.”