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Unité Mixte de Recherche du C.N.R.S. N°7534
Abstract : 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 and Combined Field Integral Equations (CFIE). Finally, some numerical experiments are performed to test their efficiency. Keywords: Acoustic scattering, Helmholtz equation, second-kind Fredholm integral equation, Krylov iterative solution.
Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation
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