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Block Conjugate Gradient Iteration for Fourier-Galerkin Homogenization of Periodic Media
The Fourier-Galerkin method is considered here for the solution of the unit cell problem that describes the homogenized properties of periodic materials in the scalar elliptic setting. The method is based on a ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A fast method for solving saddle-point linear systems with singular blocks
The paper deals with fast solution of large saddle-point systems arising in wavelet-Galerkin discretizations of separable elliptic PDEs. The periodized with the fictitious domain method are used. A special structure of matrices make...
BA - Obecná matematika
- 2004 •
- 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
Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations
The paper deals with fast solving of large saddle-point systems arising in wavelet-Galerkin discretizations of separable elliptic PDEs. The periodized orthonormal compactly supported wavelets of the tensor product type together to utilize th...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Galerkin view of FFT-based homogenization methods
by the Fast Fourier Transform (FFT). In our recent work, motivated by a theoretical interest, we interpreted FFT-based methods in a Galerkin framework that involvesIn the field of computational micromechanics of materials...
BA - Obecná matematika
- 2016 •
- O
Rok uplatnění
O - Ostatní výsledky
Oscillation-free Computation Homogenisation Scheme with Quasilinear Complexity
The proposed method combines the anisotropic Laplacian preconditioning, used in the Fourier-Galerkin method, with the finite element discretisation on a regular pixel/voxel grid. The piece-wise polynomial approxima...
Applied mathematics
- 2021 •
- O •
- Link
Rok uplatnění
O - Ostatní výsledky
Výsledek na webu
FFT-based homogenisation accelerated by low-rank tensor approximations
Fast Fourier transform (FFT) based methods have turned out to be an effective computational approach for numerical homogenisation. In particular, Fourier–Galerkin methods are computational methods...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
An FFT-based Galerkin method for homogenization of periodic media
Fourier Transform techniques. The aim of this work is to demonstrate that the Moulinec?Suquet setting is actually equivalent to a Galerkin discretization of the cell......
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method
on the recent variational reformulation of the Moulinec-Suquet (1994) Fast Fourier Transform on the conforming Galerkin approximation with trigonometric polynomials. Upper-lower bounds by Dvořák (1993) and Wi?ckowski (1995) to the ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
FFT-based Galerkin method for homogenization of periodic media
This tutorial lecture summarizes our development is analysis of FFT-based methods for periodic heterogeneous materials. In Part I, we summarize some background material and compare a variational solution with formulation employed in the lite...
JI - Kompositní materiály
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
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