The Factorization Method for Inverse Problems

By Andreas Kirsch, N. Grinberg. 2007

684 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Electrical and Electronic Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b3bd74abe0ff52f9fb72f831f0c9c2fa2346464a

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In Biomedical Engineering

In Electrical and Electronic Engineering

In Mathematical Physics

Citations in the corpus

On the existence of transmission eigenvalues (2009, methodology): “5 of [15] and show discreteness of the spectrum and existence of eigenvalues, the latter under a condition on the contrast which is similar to the one in [17].”
Acoustic inverse scattering using topological derivative of far-field measurements-based L2 cost functionals (2013, neutral): “In fact, it is pointed out in [10] (p 93, after equation 4.”
The inverse electromagnetic scattering problem for anisotropic media (2010, methodology): “D can be determined from E∞(x̂, d, p) by using the linear sampling method [13, 15].”
An analysis of electrical impedance tomography with applications to Tikhonov regularization (2012, methodology): “, spectral analysis and complex geometrical optics, and include factorization method [39], enclosure method [30] and d-bar method [32,40] etc.”
A study on orthogonality sampling (2010, methodology): “More recently, new classes of methods have been introduced with sampling and probe methods, see [5, 12, 19, 20].”
On vanishing near corners of transmission eigenfunctions (2017, background): “A number of algorithms in inverse scattering, such as linear sampling [10] and factorization methods [24] fail at wavenumbers where the far-field operator has non-trivial kernel.”
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization (2012, methodology): “The latter group relies on refined analytical results, for example, spectral analysis, and includes factorization method [12], d-bar method [13], and so on.”