63 citations · 63 across the 3 of their papers we have counts for
3 papers
cs.CE2026
Constrained minimization problems and FFT-based solvers: application to local Dirichlet boundary conditions and contact mechanics
Lionel Gélébart, Yaovi Armand Amouzou-Adou
The present paper focuses on a recent and active research axis to overcome the limitations of FFT-based solvers in order to apply various types of boundary conditions (BCs) and not…
cs.CE2026
A robust and versatile parallel FFT-based mechanical solver for general non-periodic and periodic boundary conditions
Yaovi Armand Amouzou-adoun, Lionel Gélébart, Cédric Flageul +1
General boundary conditions are implemented within a fast Fourier transform framework for linear and non-linear mechanical problems using small or finite transformation formulation…
cond-mat.mtrl-sci2014★ 63 cited
Filtering material properties to improve FFT-based methods for numerical homogenization
Lionel Gélébart, Franck Ouaki
FFT-based solvers introduced in the 1990s for the numerical homogenization of heterogeneous elastic materials have been extended to a wide range of physical properties. In parallel…