This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted...
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,
...
This paper addresses some results on the development of an approximate method
for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible
fluid. The basic idea of the method consists in using on-surface differential
operators that locally reproduce the interior propagation phenomenon. This approach leads to
integral equation formulations with a reduced computational cost compared to standard integral formulations coupling
both the transmitted...
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