Elimination of ringing artifacts by finite-element projection in FFT-based homogenization

Autor:	Leute, Richard J., Ladecký, Martin, Falsafi, Ali, Jödicke, Indre, Pultarová, Ivana, Zeman, Jan, Junge, Till, Pastewka, Lars
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Condensed Matter - Materials Science
Zdroj:	J. Comput. Phys. 453, 110931 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jcp.2021.110931
Popis:	Micromechanical homogenization is often carried out with Fourier-accelerated methods that are prone to ringing artifacts. We here generalize the compatibility projection introduced by Vond\v{r}ejc, Zeman & Marek [Comput. Math. Appl. 68, 156 (2014)] beyond the Fourier basis. In particular, we formulate the compatibility projection for linear finite elements while maintaining Fourier-acceleration and the fast convergence properties of the original method. We demonstrate that this eliminates ringing artifacts and yields an efficient computational homogenization scheme that is equivalent to canonical finite-element formulations on fully structured grids. Comment: 29 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.03297 Zobrazit plný text záznamu View this record from Arxiv