We consider the electrostatic inverse boundary value problem also known as electrical
impedance tomography (EIT) for the case where the conductivity is a piecewise linear …

We consider the inverse problem of determining the Lamé parameters and the density of a
three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We …

We propose a novel numerical inversion algorithm for the coefficients of parabolic partial
differential equations, based on model reduction. The study is motivated by the application …

We consider the inverse boundary value problem of determining the potential q in the
equation Δ u+ qu= 0 in Ω⊂ R n, from local Cauchy data. A result of global Lipschitz stability …

We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-
to-Neumann map. We consider piecewise constant wave speeds on an unknown tetrahedral …

We study the inverse problem in Optical Tomography of determining the optical properties of
a medium $\Omega\subset\mathbb {R}^ n $, with $ n\geq 3$, under the so-called diffusion …

We study the solution of the system of equations describing the dynamical evolution of
spontaneous ruptures generated in a prestressed elastic-gravitational deforming body and …

We consider the seismic inverse problem in the case of the time-harmonic elastic isotropic
wave equation, in particular for the recovery of the Lamé parameters. We employ full …

In seismology, people use waves generated by earthquakes, artificial explosions, or even"
noises", to detect the Earth's interior structure. The waves traveling in rocks, which are the …

We present a novel method to simulate the propagation of seismic waves in realistic fluid-
solid materials, coupled with dynamically evolving faults, in the self-gravitating prestressed …