Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 453, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110931
Keywords
Micromechanical homogenization; Finite-element method; Fast Fourier transform; Preconditioning
Funding
- European Research Council [StG-757343]
- Carl Zeiss Foundation
- Deutsche Forschungsgemeinschaft [EXC 2193/1 - 390951807]
- Swiss National Science Foundation [174105]
- Czech Science Foundation [20-14736S, 19-26143X]
- European Regional Development Fund (Centre of Advanced Applied Sciences - CAAS) [CZ.02.1.01/0.0/0.0/16_019/0000778]
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This paper generalizes the compatibility projection method introduced by Vond.rejc et al. (2014) [24] beyond the Fourier basis while maintaining Fourier-acceleration and fast convergence properties. The proposed method eliminates ringing artifacts and provides an efficient computational homogenization scheme that is equivalent to canonical finite-element formulations on fully structured grids.
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.
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