Cahiers du CEREMADE 

Unité
Mixte de Recherche du C.N.R.S. N°7534 

Abstract : This paper addresses the derivation of new secondkind 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 squareroot operators to regularize the formulations. Existence and uniqueness occur for these formulations. They can be interpreted as generalizations of the wellknown BrakhageWerner and Combined Field Integral Equations (CFIE). Finally, some numerical experiments are performed to test their efficiency.
Keywords: Acoustic scattering, Helmholtz equation, secondkind Fredholm integral equation,
Krylov iterative solution. 





200614 

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