Details

Autor(en) / Beteiligte

• Leute, Richard J.
• Ladecký, Martin
• Falsafi, Ali
• Jödicke, Indre
• Pultarová, Ivana
• Zeman, Jan
• Junge, Till
• Pastewka, Lars

Titel

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

Ist Teil von

• Journal of computational physics, 2022-03, Vol.453, p.110931, Article 110931

Ort / Verlag

Cambridge: Elsevier Inc

Erscheinungsjahr

2022

Quelle

ScienceDirect

Beschreibungen/Notizen

• •Generalization of micromechanical Fourier-projection techniques to discrete stencils.•Demonstration that this eliminates ringing while preserving convergence properties.•Implementation in a parallel open-source simulation code.•Application to a damage-mechanics problem. Micromechanical homogenization is often carried out with Fourier-accelerated methods that are prone to ringing artifacts. We here generalize the compatibility projection introduced by Vondřejc 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.