Distributed sampling for rational approximation of the acoustic scattering of an airfoil

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.


Published in:
Proceedings in Applied Mathematics and Mechanics, 19, 1
Presented at:
90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, Feb 18-22, 2019
Year:
Nov 18 2019
Note:
Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
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 Record created 2019-11-19, last modified 2019-12-05

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