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

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\v{r}ejc, Zeman & Marek [Comput. Math. Appl. 68, 156 (2014)] beyond the Fourier basis. In particular, we formulate compatibility for linear finite elements while maintaining Fourier-acceleration and fast convergence properties of the original method. demonstrate this eliminates artifacts and yields an efficient computational scheme equivalent to canonical finite-element formulations on fully structured grids.