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MATLAB implementation of a FFT-based solver for numerical homogenization accelerated by conjugate gradients
MATLAB implementation of a FFT-based solver for numerical homogenization accelerated by conjugate gradients. It describes the data storage of the linear system and its solution by conjugate gradients....
JN - Stavebnictví
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
A comparative study on iterative solvers for FFT-based homogenization of periodic media
In this contribution, we report on performance of standard Krylov subspace solvers with a low memory consumption, when applied to a system arising from a Fourier-Galerkin discretization of cell problem for periodic media....
JI - Kompositní materiály
- 2014 •
- O
Rok uplatnění
O - Ostatní výsledky
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
In this short note, we present a new technique to accelerate the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach proceeds from discretiz...
JI - Kompositní materiály
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A finite element perspective on nonlinear FFT-based micromechanical simulations
of FFT-based schemes to nonlinear problems conceptually difficult. This paper aims to establish a link between FE-based and FFT-based methods in order to develop a solverFourier solvers ...
Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
An Optimal Preconditioned FFT-accelerated Finite Element Solver for Homogenization
))$, like FFT, rendering it equivalent to spectral solvers in terms of computationalWe generalize and provide a linear algebra-based perspective on a finite and Fritzen [2]. The efficiency of the scheme is based on...
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Fast Fourier Transform based homogenization solved by iterative solvers
In this contribution, we present a new approach to accelerating the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach relies on discretiza...
JI - Kompositní materiály
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Reference material preconditioning for FFT-based solvers
by iterative solvers. We introduce a general scheme for construction of preconditioning matrices based on some appropriate approximation of original material data....
Applied mathematics
- 2019 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
A Galerkin view of FFT-based homogenization methods
they can be used to develop more efficient FFT-based solvers, considering scalar interest, we interpreted FFT-based methods in a Galerkin framework that involvesIn the field of computational micromechanic...
BA - Obecná matematika
- 2016 •
- O
Rok uplatnění
O - Ostatní výsledky
MATLAB implementation of a FFT-based solver for numerical homogenization accelerated by conjugate gradients
Matlab implementation of Fast Fourier Transform based Homogenization for heterogeneous materials dealing with electric or heat conductiviy. It takes the values of conductivity at regular grid of periodic unit cell that represents the materia...
JI - Kompositní materiály
- 2010 •
- R
Rok uplatnění
R - Software
Wang tilings in Partition of Unity Methods
, the Simulated annealing-based optimization, stochastic tiling algorithm and accelerated Fast Fourier Transform based solver are combined to arrive at optimal tile sets....
JI - Kompositní materiály
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
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