Reduced-order FFT-based homogenisation by tensor approximation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00332944" target="_blank" >RIV/68407700:21110/19:00332944 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/pamm.201900386" target="_blank" >https://doi.org/10.1002/pamm.201900386</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/pamm.201900386" target="_blank" >10.1002/pamm.201900386</a>

Result language
angličtina
Original language name
Reduced-order FFT-based homogenisation by tensor approximation
Original language description
We enhanced the efficiency of Fast Fourier transform (FFT) based Galerkin methods on numerical homogeni-sation problems by exploiting low-rank tensor approximations in canonical, Tucker, and tensor train formats.This leads to a significant reduction in computational complexity and memory requirement. The advantagesof the approach are demonstrated in a numerical example of a model homogenisation problem with stochasticheterogeneous material coefficients.
Czech name
—
Czech description
—

Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GC17-04150J" target="_blank" >GC17-04150J: Reliable two-scale Fourier/finite element-based simulations: Error-control, model reduction, and stochastics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)