M. C. Vilela

activity

20182022

most citedThe Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2022

Live load matrix recovery from scattering data in linear elasticity

J. A. Barceló, C. Castro, M. C. Vilela

We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown linear load given by a square…

math.AP2018

Uniqueness for the inverse fixed angle scattering problem

Juan A. Barceló, Carlos Castro, Teresa Luque +3

We present a uniqueness result in dimensions $2$ and $3$ for the inverse fixed angle scattering problem associated to the Schrödinger operator $- Δ + q$ , where $q$ is a small real val…

math.AP2018

A new convergent algorithm to approximate potentials from fixed angle scattering data

Juan A. Barceló, Carlos Castro, Teresa Luque +1

We introduce a new iterative method to recover a real compact supported potential of the Schrödinger operator from their fixed angle scattering data. The method combines a fixed po…