IIMAS - FENOMEC
UNAM
Inverse source problem in a forced network
Resumen:
We address the nonlinear inverse source problem of identifying a time-
dependent source occurring in one
node of a network governed by a wave equation. We prove that time records
of the associated state taken
at a strategic set of two nodes yield uniqueness of the two unknown
elements: the source position and
the emitted signal. Using graph theory, we discuss the number and location
of the observation nodes. A
non-iterative identification method that localizes the source node by
solving a set of well posed linear
systems is developped. Once the source node is localized, the emitted
signal is identified using a
deconvolution problem or a Fourier expansion. Numerical experiments on a
five node graph confirm the
feasability of the approach.
Informes: coloquiomym@gmail.com, o al 5622-3564.