Some formulations coupling finite element and integral equation methods for Helmholtz equation and electromagnetism
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Summary.
In this paper a study of the coupling between integral
equations and finite element methods is presented for two problems of
propagation in frequency domain. It is shown that these problems can
be viewed as multidomain problems and treated by the mean of the Schur
complement technique. The complement coming from the integral equation
part is expressed with the integral operators of the scattering
theory. This allows to predict the behaviour of the Schur method,
either primal or dual, as far as its convergence speed is concerned.
Furthermore, the difference of behaviour between electromagnetism and
acoustics from this point of view is explained.