Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods

dc.contributor.authorBrands, Benjamin
dc.contributor.authorDavydov, Denis
dc.contributor.authorMergheim, Julia
dc.contributor.authorSteinmann, Paul
dc.date.accessioned2020-01-14
dc.date.available2023-10-16T21:30:09Z
dc.date.created2019
dc.date.issued2020-01-14
dc.description.abstractThe simulation of complex engineering structures built from magneto-rheological elastomers is a computationally challenging task. Using the FE 2 method, which is based on computational homogenisation, leads to the repetitive solution of micro-scale FE problems, causing excessive computational effort. In this paper, the micro-scale FE problems are replaced by POD reduced models of comparable accuracy. As these models do not deliver the required reductions in computational effort, they are combined with hyper-reduction methods like the Discrete Empirical Interpolation Method (DEIM), Gappy POD, Gauss–Newton Approximated Tensors (GNAT), Empirical Cubature (EC) and Reduced Integration Domain (RID). The goal of this work is the comparison of the aforementioned hyper-reduction techniques focusing on accuracy and robustness. For the application in the FE 2 framework, EC and RID are favourable due to their robustness, whereas Gappy POD rendered both the most accurate and efficient reduced models. The well-known DEIM is discarded for this application as it suffers from serious robustness deficiencies.en
dc.identifier.citationMathematical and Computational Applications 24.1 (2019). <https://www.mdpi.com/2297-8747/24/1/20>
dc.identifier.doihttps://doi.org/10.3390/mca24010020
dc.identifier.issn2297-8747
dc.identifier.opus-id13010
dc.identifier.urihttps://open.fau.de/handle/openfau/13010
dc.identifier.urnurn:nbn:de:bvb:29-opus4-130101
dc.language.isoen
dc.publisherMDPI
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.de
dc.subjectmodel order reduction
dc.subjectPOD
dc.subjectDEIM
dc.subjectgappy POD
dc.subjectGNAT
dc.subjectECSW
dc.subjectempirical cubature
dc.subjecthyper-reduction
dc.subjectreduced integration domain
dc.subjectcomputational homogenisation
dc.subject.ddcDDC Classification::6 Technik, Medizin, angewandte Wissenschaften :: 60 Technik :: 600 Technik, Technologie
dc.titleReduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methodsen
dc.typearticle
dcterms.publisherFriedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
local.date.prevpublished2019-02-01
local.journal.issue1
local.journal.titleMathematical and Computational Applications
local.journal.volume24
local.sendToDnbfree*
local.subject.fakultaetTechnische Fakultät
local.subject.importimport
local.subject.sammlungUniversität Erlangen-Nürnberg / Eingespielte Open Access Artikel / Eingespielte Open Access Artikel 2020
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
13010_mca-24-00020-v2.pdf
Size:
2.79 MB
Format:
Adobe Portable Document Format
Description: