12 citations · 15 across the 6 of their papers we have counts for
6 papers
Uniform boundary observability for the spectral collocation of the linear elasticity system
Somia Boumimez, Carlos Castro
A well-known boundary observability inequality for the elasticity system establishes that the energy of the system can be estimated from the solution on a sufficiently large part o…
Numerical approximation of the boundary control for the wave equation with a spectral collocation method
Somia Boumimez, Carlos Castro
We propose a spectral collocation method to approximate the exact boundary control of the wave equation in a square domain. The idea is to introduce a suitable approximate control…
The Born approximation in the three-dimensional Calderón problem II: Numerical reconstruction in the radial case
Juan A. Barceló, Carlos Castro, Fabricio Macià +1
In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calderón inverse conductivity problem by numerical experiments. The results are…
Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation
Mouna Abdelli, Carlos Castro
We propose a numerical method to approximate the exact averaged boundary control of a family of wave equations depending on an unknown parameter sigma. More precisely the control,…
Singular asymptotic expansion of the exact control for a linear model of the Rayleigh beam
Arnaud Munch, Carlos Castro
The Petrowsky type equation $y_{tt}^\eps+\eps y_{xxxx}^\eps - y_{xx}^\eps=0$, $\eps>0$ encountered in linear beams theory is null controllable through Neumann boundary controls. Du…
Numerical approximation of the potential in the two-dimensional inverse scattering problem
Juan Antonio Barceló, Carlos Castro, Juan Manuel Reyes
We present an iterative algorithm to compute numerical approximations of the potential for the Schrödinger operator from scattering data. Four different types of scattering data ar…