47 citations · 132 across the 16 of their papers we have counts for
19 papers
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…
Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems
Andrea Aspri, Leon Frischauf, Otmar Scherzer
We consider solving a probably ill-conditioned linear operator equation, where the operator is not modeled by physical laws but is specified via training pairs (consisting of image…
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…
Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data
Andrea Aspri, Otmar Scherzer
We investigate generalized versions of the Iteratively Regularized Landweber Method, initially introduced in [Appl. Math. Optim., 38(1):45-68, 1998], to address linear and nonlinea…
A phase-field approach for detecting cavities via a Kohn-Vogelius type functional
Andrea Aspri
We deal with the geometrical inverse problem of the shape reconstruction of cavities in a bounded linear isotropic medium by means of boundary data. The problem is addressed from t…
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…
Identification of cavities and inclusions in linear elasticity with a phase-field approach
Andrea Aspri, Elena Beretta, Cecilia Cavaterra +2
In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's me…
A new threshold reveals the uncertainty about the effect of school opening on diffusion of Covid-19
Alberto Gandolfi, Andrea Aspri, Elena Beretta +2
We aim at clarifying the controversy about the effects of school openings or closures on the course of the Covid-19 pandemic. The mathematical analysis of compartmental models with…
Data driven reconstruction using frames and Riesz bases
Andrea Aspri, Leon Frischauf, Yury Korolev +1
We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide…
Mortality containment vs. economics opening: optimal policies in a SEIARD model
Andrea Aspri, Elena Beretta, Alberto Gandolfi +1
We adapt a SEIRD differential model with asymptomatic population and Covid deaths, which we call SEAIRD, to simulate the evolution of COVID-19, and add a control function affecting…
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…
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
Data driven regularization by projection
Andrea Aspri, Yury Korolev, Otmar Scherzer
We study linear inverse problems under the premise that the forward operator is not at hand but given indirectly through some input-output training pairs. We demonstrate that regul…
A data-driven iteratively regularized Landweber iteration
Andrea Aspri, Sebastian Banert, Ozan Öktem +1
We derive and analyse a new variant of the iteratively regularized Landweber iteration, for solving linear and nonlinear ill-posed inverse problems. The method takes into account t…
Analysis of a model of elastic dislocations in geophysics
Andrea Aspri, Elena Beretta, Anna L. Mazzucato +1
We analyze a mathematical model of elastic dislocations with applications to geophysics, where by an elastic dislocation we mean an open, oriented Lipschitz surface in the interior…
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…
Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space
Andrea Aspri, Elena Beretta, Corrado Mascia
Motivated by a vulcanological problem, we establish a sound mathematical approach for surface deformation effects generated by a magma chamber embedded into Earth's interior and ex…
Asymptotic Expansion for Harmonic Functions in the Half-Space with a Pressurized Cavity
Andrea Aspri, Elena Beretta, Corrado Mascia
In this paper, we address a simplified version of a problem arising from volcanology. Specifically, as reduced form of the boundary value problem for the Lamé system, we consider a…