Reference material preconditioning for FFT-based solvers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00332806" target="_blank" >RIV/68407700:21110/19:00332806 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/pamm.201900283" target="_blank" >https://doi.org/10.1002/pamm.201900283</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/pamm.201900283" target="_blank" >10.1002/pamm.201900283</a>

Result language
angličtina
Original language name
Reference material preconditioning for FFT-based solvers
Original language description
Problems of finding effective material properties discussed in the classical works on homogenisation originate from asymptotic analysis of elliptic partial differential equations with oscillating anisotropic data. In 1994, Moulinec and Suquet introduced an iterative algorithm for efficient determination of effective properties. In spite of its popularity and a deep research interest in this method, there are still some opportunities for improving its numerical effectiveness. We focus on preconditioning of related linear systems, which is necessary for solving large problems by iterative solvers. We introduce a general scheme for construction of preconditioning matrices based on some appropriate approximation of original material data.
Czech name
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Czech description
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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

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