FFT-based methods for heterogeneous materials with non-periodic boundary conditions

Abstract :

The aim of this work is to develop a numerical framework, based on discrete sine and cosine transforms, to extend Moulinec and Suquet's FFT-based method to non-periodic Dirichlet/Neumann boundary conditions. The numerical method is based on the iterative resolution of an auxiliary problem, which is solved within a Galerkin-based framework, using an approximation space spanned by sine-cosine series. The elementary integrals emerging from the weak formulation of the equilibrium are approximated by discrete sine-cosine transforms, which makes the method relying on the numerical complexity of Fourier transforms. Applications include transient conductivity, elastostatics and elastodynamics problems, in microstructures as well as finite structures.

‼️ Le séminaire peut être suivi en ligne via le lien : https://univ-amu-fr.zoom.us/j/95011527683?pwd=bTeNvaaZY75buaa7bRL0pcucXSASm7.1

Le mardi 30 juin 2026 à 11h00 / Amphithéâtre François Canac, LMA

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