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math.AP2023★ 1 cited
Reconstruction of cracks in Calderón's inverse conductivity problem using energy comparisons
Henrik Garde, Michael Vogelius
We derive exact reconstruction methods for cracks consisting of unions of Lipschitz hypersurfaces in the context of Calderón's inverse conductivity problem. Our first method obtain…
math.AP2023
Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index
Fioralba Cakoni, Narek Hovsepyan, Michael Vogelius
This paper concerns the analysis of a passive, broadband approximate cloaking scheme for the Helmholtz equation in for or . Using ideas from transformati…