Generalized Combined Field Integral Equations for the Iterative Solution of the Helmholtz Equation in Three Dimensions
نویسندگان
چکیده
This paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative solution of acoustic scattering problems. 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, Über das Dirichletsche aussenraumproblem für die Helmholtzsche schwingungsgleichung, Arch. Math. 16 (1965), pp. 325-329] and Combined Field Integral Equations (CFIE) [R.F. Harrington and J.R. Mautz, H-field, E-field and combined field solution for conducting bodies of revolution, Arch. Elektron. Übertragungstech (AEÜ), 32 (4) (1978), pp. 157-164]. Finally, twoand three-dimensional numerical experiments are performed to test their efficiency.
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