On polarization-based schemes for the FFT-based computational homogenization of inelastic materials

Linear Convergence and Metric Selection for Douglas-Rachford Splitting and ADMM

(2017) Pontus Giselsson et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials

(2017) Karel Matouš et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media

(2016) Nachiketa Mishra et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints

(2016) Laurent Lessard et al.   SIAM JOURNAL ON OPTIMIZATION

Fourier-based schemes for computing the mechanical response of composites with accurate local fields

(2015) François Willot   COMPTES RENDUS MECANIQUE

Mixed boundary conditions for FFT-based homogenization at finite strains

(2015) Matthias Kabel et al.   COMPUTATIONAL MECHANICS

Guaranteed upper–lower bounds on homogenized properties by FFT-based Galerkin method

(2015) Jaroslav Vondřejc et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Computational homogenization of elasticity on a staggered grid

(2015) Matti Schneider et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

(2015) P. Shanthraj et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Homogenization of linear elastic properties of short-fiber reinforced composites – A comparison of mean field and voxel-based methods

(2015) Viktor Müller et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems

(2015) Guoyin Li et al.   MATHEMATICAL PROGRAMMING

Convergence Rate Analysis of Primal-Dual Splitting Schemes

(2015) Damek Davis   SIAM JOURNAL ON OPTIMIZATION

Global Convergence of Splitting Methods for Nonconvex Composite Optimization

(2015) Guoyin Li et al.   SIAM JOURNAL ON OPTIMIZATION

Efficient fixed point and Newton–Krylov solvers for FFT-based homogenization of elasticity at large deformations

(2014) Matthias Kabel et al.   COMPUTATIONAL MECHANICS

Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials

(2014) H. Moulinec et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Convergence of FFT-based homogenization for strongly heterogeneous media

(2014) Matti Schneider   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Non-linear extension of FFT-based methods accelerated by conjugate gradients to evaluate the mechanical behavior of composite materials

(2013) Lionel Gélébart et al.   COMPUTATIONAL MATERIALS SCIENCE

The Design of SimpleITK

(2013) Bradley C. Lowekamp et al.   Frontiers in Neuroinformatics

Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites

(2012) S. Brisard et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Digital rock physics benchmarks—part II: Computing effective properties

(2012) Heiko Andrä et al.   COMPUTERS & GEOSCIENCES

A spectral method solution to crystal elasto-viscoplasticity at finite strains

(2012) P. Eisenlohr et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing

(2011) R. Quey et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast

(2011) V. Monchiet et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials

(2011) Ricardo A. Lebensohn et al.   INTERNATIONAL JOURNAL OF PLASTICITY

FFT-based methods for the mechanics of composites: A general variational framework

(2010) S. Brisard et al.   COMPUTATIONAL MATERIALS SCIENCE

Cython: The Best of Both Worlds

(2010) Stefan Behnel et al.   COMPUTING IN SCIENCE & ENGINEERING

A second-moment incremental formulation for the mean-field homogenization of elasto-plastic composites

(2010) I. Doghri et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

(2010) Jan Zeman et al.   JOURNAL OF COMPUTATIONAL PHYSICS