A. Delabourdonnaye, SOME FORMULATIONS COUPLING FINITE-ELEMENT AND INTEGRAL-EQUATION METHODS FOR HELMHOLTZ-EQUATION AND ELECTROMAGNETISM, Numerische Mathematik, 69(3), 1995, pp. 257-268
In this paper a study of the coupling between integral equations and f
inite element methods is presented for two problems of propagation in
frequency domain. It is shown that these problems can be viewed as mul
tidomain problems and treated by the mean of the Schur complement tech
nique. The complement coming from the integral equation part is expres
sed with the integral operators of the scattering theory. This allows
to predict the behaviour of the Schur method, either primal or dual, a
s far as its convergence speed is concerned. Furthermore, the differen
ce of behaviour between electromagnetism and acoustics from this point
of view is explained.