Solution procedures for interface problems in acoustics and electromagnetics. (English) Zbl 0578.76078

Theoretical acoustics and numerical techniques, CISM Courses Lect. 277, 291-348 (1983).
[For the entire collection see Zbl 0544.00039.]
(From author’s introduction.) The aim of this paper is to derive solution procedures for 2 and 3-dimensional interface problems governing the scattering of sound by a homogeneous medium and the scattering of time harmonic electromagnetic fields in air by metallic obstacles. Two ideas are developed. The first is a boundary integral procedure for the Helmholtz interface problem and for the eddy current problem (in three dimensions). The second idea is an asymptotic procedure for the scattering of time harmonic electromagnetic fields which applies for large conductivity and reflects the skin effect in metals. Both methods, the boundary integral and the asymptotic procedure, admit of numerical implementation techniques like finite elements.
Reviewer: Dang Dinh Ang


76Q05 Hydro- and aero-acoustics


Zbl 0544.00039