CONVERGENCE OF THE INFINITE ELEMENT METHODS FOR THE HELMHOLTZ-EQUATION IN SEPARABLE DOMAINS

To the best knowledge of the authors, this work presents the first con vergence analysis for the Infinite Element Method (IEM) for the Helmho ltz equation in exterior domains. The approximation applies to separab le geometries only, combining an arbitrary Finite Element (FE) discret ization on the boundary of the domain with a spectral-like approximati on in the ''radial'' direction, with shape functions resulting from th e separation of variables, The principal idea of the presented analysi s is based on the spectral decomposition of the problem.