On the convergence test of FFT-based methods

Graeme W. Milton (1) , Hervé Moulinec (2) , Pierre Suquet (2)

1 Department of Mathematics - University of Utah
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

In the last two decades, FFT-based methods [1] have become a widely used tool for predicting the overall and local behavior of heterogeneous materials. They are all based on the iterative resolution of the Lippmann-Schwinger equation. Unfortunately it was observed that these methods hardly converge in the case of high contrast between the mechanical properties of the constituents, although several acceleration techniques have been proposed in the literature [2,3]. Moreover, the convergence of the methods in the case of infinite contrast (for example with porous materials) is still a matter of debate.

Domaines: Mécanique des solides [physics.class-ph]

Graeme W. Milton, Hervé Moulinec, Pierre Suquet. On the convergence test of FFT-based methods. ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, Jun 2016, Hersonissos, Greece. ⟨hal-03538955⟩