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A fast frequency sweep approach with a priori choice of padé approximants and control of their interval of convergence
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL. Creo Dynamics AB, Sweden.ORCID iD: 0000-0002-6555-531X
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Vibration monitoring.ORCID iD: 0000-0003-1855-5437
2015 (English)In: COUPLED PROBLEMS 2015: Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering, CIMNE , 2015, 881-892 p.Conference paper (Refereed)
Abstract [en]

In this work, a solution strategy based on the use of Padé approximants is investigated for efficient solution of parametric finite element problems such as, for example, frequency sweep analyses. An improvement to the Padé-based expansion of the solution vector components is proposed, suggesting the advantageous a priori estimate of the poles of the solution. This allows for the intervals of approximation to be chosen a priori in connection with the Padé approximants to be used. The choice of these approximants is supported by the Montessus de Ballore theorem, proving the convergence of a series of approximants with fixed denominator degrees. An acoustic case study is presented in order to illustrate the potential of the approach proposed by the authors.

Place, publisher, year, edition, pages
CIMNE , 2015. 881-892 p.
Keyword [en]
Finite element analysis Frequency sweep, Padé approximants, Reduced-order model
National Category
Aerospace Engineering
URN: urn:nbn:se:kth:diva-174738ISI: 000380588500079ScopusID: 2-s2.0-84938723567ISBN: 978-849439283-2OAI: diva2:860702
6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS May 18-20, 2015; Venice; Italy

QC 20151013

Available from: 2015-10-13 Created: 2015-10-07 Last updated: 2016-11-21Bibliographically approved

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Rumpler, RomainGöransson, Peter
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