79 citations · 322 across the 37 of their papers we have counts for
35 papers · 1 filter
Recovery of an Anisotropic Conductivity from the Neumann-to-Dirichlet Map in a Semilinear Elliptic Equation
Elena Beretta, Elisa Francini, Dario Pierotti +1
We study the inverse boundary value problem of detecting a non-uniform conductivity motivated by pacing-guided ablation in cardiac electrophysiology. At the stationary level, the t…
Lipschitz Stability for Polyhedral Elastic Inclusions from Partial Data
Andrea Aspri, Elena Beretta, Elisa Francini +4
The paper deals with the inverse problem of determining a polyhedral inclusion compactly contained in an elastic body from boundary measurements of traction and displacement taken…
A shape derivative algorithm for reconstructing elastic dislocations in geophysics
Andrea Aspri, Elena Beretta, Arum Lee +1
We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measure…
On an inverse problem with applications in cardiac electrophysiology
Andrea Aspri, Elena Beretta, Elisa Francini +2
In this paper, we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the forward problem, we show that perfectly insulating regi…
On the reconstruction of cavities in a nonlinear model arising from cardiac electrophysiology
Elena Beretta, M. Cristina Cerutti, Dario Pierotti +1
In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac e…
Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements
Andrea Aspri, Elena Beretta, Elisa Francini +1
We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stabilit…