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Distributed sampling for rational approximation of the acoustic scattering of an airfoil
Author(s) -
Bonizzoni Francesca,
Pradovera Davide
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900422
Subject(s) - airfoil , moment (physics) , interpolation (computer graphics) , mathematics , parametric statistics , matching (statistics) , harmonic , range (aeronautics) , projection (relational algebra) , galerkin method , mathematical analysis , stability (learning theory) , algorithm , computer science , acoustics , finite element method , physics , animation , statistics , computer graphics (images) , materials science , classical mechanics , machine learning , mechanics , composite material , thermodynamics
Abstract In this paper we compute a reduced order model for a time‐harmonic external acoustic scattering problem with parametric frequency. The employed technique is minimal rational interpolation , an explicit moment‐matching method for Hilbert space‐valued meromorphic maps. We study the approximation and stability properties of this technique for different choices of the sample point set, namely fully distributed in the parameter range, and partially and fully confluent. The proposed technique is also compared with an implicit multi moment‐matching method based on Galerkin projection.