Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
Xavier Antoine, Marion Darbas (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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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,...