Domain Decomposition Methods With Frequency Band Interpolation for Computational Acoustics

Abstract

Interpolation over frequency (wavenumber) bands with domain decomposition (substructure) methods is used to provide fast solutions to wave problems when large numbers of frequency evaluations are required. Dispersion analysis is used to quantify the accuracy of the frequency interpolation for both generalized Schur complement and regularized FETI-H substructuring methods. Wavenumber-frequency dispersion relations are compared with different numbers of condensed internal nodes, numbers of interpolation points, and frequency band size. Several numerical examples are performed which validate the conclusions made in the dispersion analysis.