Mardi 30 juin 2026 à 11h00 / Amph. F. Canac, LMA
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.