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

被引：7

作者：

Leute, Richard J. ^{[1
]}

Ladecky, Martin ^{[2
]}

Falsafi, Ali ^{[3
]}

Joedicke, Indre ^{[1
,4
]}

Pultarova, Ivana ^{[2
]}

Zeman, Jan ^{[2
]}

Junge, Till ^{[3
]}

Pastewka, Lars ^{[1
,4
]}

机构：

[1] Univ Freiburg, Dept Microsyst Engn, Georges Kohler Allee 103, D-79110 Freiburg, Germany

[2] Czech Tech Univ, Fac Civil Engn, Thakurova 7, Prague 16629 6, Czech Republic

[3] Ecole Polytech Fed Lausanne, Dept Mech Engn, CH-1015 Lausanne, Switzerland

[4] Univ Freiburg, Freiburg Ctr Interact Mat & Bioinspired Technol, Cluster Excellence LivMatS, Georges Kohler Allee 105, D-79110 Freiburg, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2022年 / 453卷

基金：

瑞士国家科学基金会; 欧洲研究理事会;

关键词：

Micromechanical homogenization; Finite-element method; Fast Fourier transform; Preconditioning; FOURIER-BASED SCHEMES; NUMERICAL-METHOD; ELLIPSOIDAL INCLUSION; ELASTIC FIELD; SOLVERS; IMPLEMENTATION; COMPOSITES;

D O I：

10.1016/j.jcp.2021.110931

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.rejc et al. (2014) [24] 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. (C) 2021 The Author(s). Published by Elsevier Inc.

引用

页数：20

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