79 citations · 322 across the 37 of their papers we have counts for
4 papers · 1 filter
A phase-field approach for the interface reconstruction in a nonlinear elliptic problem arising from cardiac electrophysiology
Elena Beretta, Luca Ratti, Marco Verani
In this work we tackle the reconstruction of discontinuous coefficients in a semilinear elliptic equation from the knowledge of the solution on the boundary of the domain, an inver…
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Elena Beretta, Stefano Micheletti, Simona Perotto +1
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal…
On an elastic model arising from volcanology: an analysis of the direct and inverse problem
Andrea Aspri, Elena Beretta, Edi Rosset
In this paper we investigate a mathematical model arising from volcanology describing surface deformation effects generated by a magma chamber embedded into Earth's interior and ex…
On the inverse problem of detecting cardiac ischemias: theoretical analysis and numerical reconstruction
Elena Beretta, Cecilia Cavaterra, Maria Cristina Cerutti +2
In this paper we develop theoretical analysis and numerical reconstruction techniques for the solution of an inverse boundary value problem dealing with the nonlinear, time-depende…