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math.NA2026
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…
math.NA2025
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…
math.NA2025
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.…