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Cited by 265

The DOI matches its Crossref record; 117 of the 117 references it cites were found in a registry or an index.

A review of nonlinear FFT-based computational homogenization methods

Open access
Schneider, Matti·2021·Acta Mechanica

Abstract

Since their inception, computational homogenization methods based on the fast Fourier transform (FFT) have grown in popularity, establishing themselves as a powerful tool applicable to complex, digitized microstructures. At the same time, the understanding of the underlying principles has grown, in terms of both discretization schemes and solution methods, leading to improvements of the original approach and extending the applications. This article provides a condensed overview of results scattered throughout the literature and guides the reader to the current state of the art in nonlinear computational homogenization methods using the fast Fourier transform.

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Metadata

Authors
Schneider, M.
Venue
Acta Mechanica
Published
2021-03-24
Volume
232
Issue
6
Pages
2051-2100
ISSN
  • 0001-5970 (ISSN-L)
  • 1619-6937
OpenAlex
W3135925085
Cited by
265
References
117
FWCI
18.78
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: A review of nonlinear FFT-based computational homogenization methods. https://app.cochat.ai/papers/10.1007/s00707-021-02962-1
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Schneider, M. (2021). A review of nonlinear FFT-based computational homogenization methods. Acta Mechanica. https://doi.org/10.1007/s00707-021-02962-1

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.