Two-scale cut-and-projection convergence; homogenization of quasiperiodic structures
(2018) In Mathematical Methods in the Applied Sciences 41(3). p.1101-1106- Abstract
We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space. The characterization of two-scale cut-and-projection convergence limits of partial differential operators is presented.
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https://lup.lub.lu.se/record/9d869437-8166-4a6e-bc80-d93aa529037b
- author
- Wellander, Niklas LU ; Guenneau, Sebastién and Cherkaev, Elena
- organization
- publishing date
- 2018-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Compactness, Cut-and-projection, Electrostatics, Quasiperiodic composites, Two-scale convergence
- in
- Mathematical Methods in the Applied Sciences
- volume
- 41
- issue
- 3
- pages
- 1101 - 1106
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85013224761
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.4345
- language
- English
- LU publication?
- yes
- id
- 9d869437-8166-4a6e-bc80-d93aa529037b
- date added to LUP
- 2017-03-01 14:12:47
- date last changed
- 2022-04-09 03:47:07
@article{9d869437-8166-4a6e-bc80-d93aa529037b, abstract = {{<p>We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space. The characterization of two-scale cut-and-projection convergence limits of partial differential operators is presented.</p>}}, author = {{Wellander, Niklas and Guenneau, Sebastién and Cherkaev, Elena}}, issn = {{0170-4214}}, keywords = {{Compactness; Cut-and-projection; Electrostatics; Quasiperiodic composites; Two-scale convergence}}, language = {{eng}}, number = {{3}}, pages = {{1101--1106}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Mathematical Methods in the Applied Sciences}}, title = {{Two-scale cut-and-projection convergence; homogenization of quasiperiodic structures}}, url = {{http://dx.doi.org/10.1002/mma.4345}}, doi = {{10.1002/mma.4345}}, volume = {{41}}, year = {{2018}}, }