ABSTRACT

V. A. Dougalis, Mathematics Department, University of Athens, 15784 Zographou, Greece and Foundation for Research and Technology-Hellas, Institute of Applied and Computational Mathematics, 71110 Heraklion, Greece, doug@math.uoa.gr

N. A. Kampanis, Foundation for Research and Technology-Hellas, Institute of Applied and Computational Mathematics, 71110 Heraklion, Greece, kampanis@iacm.forth.gr

F. Sturm, Laboratoire de Me´canique des Fluides et d’Acoustique, UMR CNRS 5509, Ecole Centrale de Lyon, 36, avenue Guy de Collongue, 69134, Ecully Cedex, France, frederic.sturm@ec-lyon.fr

G. E. Zouraris, Mathematics Department, University of Crete, 71409, Heraklion, Greece and Foundation for Research and Technology-Hellas, Institute of Applied and Computational Mathematics, 71110 Heraklion, Greece, zouraris@math.uoc.gr

The Helmholtz equation is often used to model sound propagation and scattering in a waveguide. Its solution represents the wave field (acoustic pressure) produced by a harmonic point source placed within the waveguide. Therefore, a central task in computational acoustics is the efficient numerical solution of the Helmholtz equation; we refer the reader to [18], [22], [79], [20] and Chapter 1 of Part II of the present book for more information and relevant references.