79 citations · 322 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Differentiability of the Dirichlet to Neumann map under movements of polygonal inclusions with an application to shape optimization
E. Beretta, E. Francini, S. Vessella
In this paper we derive rigorously the derivative of the Dirichlet to Neumann map and of the Neumann to Dirichlet map of the conductivity equation with respect to movements of vert…
A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem
Elena Beretta, Andrea Manzoni, Luca Ratti
In this paper we develop a reconstruction algorithm for the solution of an inverse boundary value problem dealing with a semilinear elliptic partial differential equation of intere…
Size estimates of an obstacle in a stationary Stokes fluid
E. Beretta, C. Cavaterra, J. H. Ortega +1
In this work we are interested in estimating the size of a cavity D immersed in a bounded domain Ω, contained in R^d, d=2,3, filled with a viscous fluid governed by the Stokes syst…