The homogenization of microstructured interfaces requires solving specific problems posed on semi-infinite bands. To tackle these problems with existing FFT-based algorithms, a reformulation of these band problems into fully periodic cell problems, posed on bounded domains, is established. This is performed thanks to a Dirichlet-to-Neumann operator and a decomposition of the solution involving a boundary corrector, in a Fourier framework. A fixed-point algorithm and an example choice of corrector are proposed. Comparisons with other computational methods support this proposition.
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Rémi Cornaggia 1 ; Marie Touboul 2 ; Cédric Bellis 3
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@article{CRMECA_2022__350_G2_297_0, author = {R\'emi Cornaggia and Marie Touboul and C\'edric Bellis}, title = {FFT-based computation of homogenized interface parameters}, journal = {Comptes Rendus. M\'ecanique}, pages = {297--307}, publisher = {Acad\'emie des sciences, Paris}, volume = {350}, year = {2022}, doi = {10.5802/crmeca.119}, language = {en}, }
TY - JOUR AU - Rémi Cornaggia AU - Marie Touboul AU - Cédric Bellis TI - FFT-based computation of homogenized interface parameters JO - Comptes Rendus. Mécanique PY - 2022 SP - 297 EP - 307 VL - 350 PB - Académie des sciences, Paris DO - 10.5802/crmeca.119 LA - en ID - CRMECA_2022__350_G2_297_0 ER -
Rémi Cornaggia; Marie Touboul; Cédric Bellis. FFT-based computation of homogenized interface parameters. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 297-307. doi : 10.5802/crmeca.119. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.119/
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