4 papers · 1 filter
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…
Dislocations in a layered elastic medium with applications to fault detection
Andrea Aspri, Elena Beretta, Anna L. Mazzucato
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along whic…
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…