4 papers
Characterization of Dirichlet-to-Neumann maps via the Born approximation
Carlos Castro, Fabricio Macià, Cristóbal Meroño +1
The problem of identifying the set of Dirichlet-to-Neumann (DtN) maps arising from conductivities on a smooth domain, among operators acting on functions on the boundary, is a chal…
A new addition theorem for the 3-D Navier-Lamé system and its application to the method of fundamental solutions
J. A. Barceló, C. Castro, A. Ruiz +1
We obtain a new addition theorem for the fundamental solution of the Navier-Lamé system in dimension 3 satisfying the Kupradze radiation conditions. This provides an expansion of t…
A mixed finite elements approximation of inverse source problems for the wave equation with variable coefficients using observability
Carlos Castro, Sorin Micu
We consider an inverse problem for the linear one-dimensional wave equation with variable coefficients consisting in determining an unknown source term from a boundary observation.…
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…