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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 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,
...
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