This paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative
solution of tridimensional acoustic scattering problems by a smooth closed surface. These integral
equations need the introduction of suitable tangential square-root operators to regularize the formulations.
Existence and uniqueness occur for these formulations. They can be interpreted as
generalizations of the well-known Brakhage-Werner [A. Brakhage and P. Werner,
...
We consider the numerical solution, in two- and three-dimensional bounded domains, of the inverse problem for identifying the location of small-volume, conductivity imperfections in a medium with homogeneous background. A dynamic approach, based on the wave equation, permits us to treat the important case of “limited-view” data. Our numerical algorithm is based on the coupling of a finite element solution of the wave equation, an exact controllability method and finally a Fourier inversion for localizing...
We consider the numerical solution, in two- and three-dimensional
bounded domains, of the inverse problem for identifying the location
of small-volume, conductivity imperfections in a medium with homogeneous
background. A dynamic approach, based on the wave equation, permits
us to treat the important case of “limited-view” data. Our numerical
algorithm is based on the coupling of a finite element solution of
the wave equation, an exact controllability method and finally a Fourier
inversion for...
Download Results (CSV)