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1

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

Jan Zeman, Jaroslav Vondřejc, Jan Novák, Ivo Marek

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 383 KB

english, 2010

2

A two-scale micromechanical model for aluminium foam based on results from nanoindentation

Němeček, Jiří, Králík, Vlastimil, Vondřejc, Jaroslav

Journal:

Computers & Structures

Year:

2013

Language:

english

File:

PDF, 2.08 MB

english, 2013

3

Micromechanical analysis of heterogeneous structural materials

Němeček, Jiří, Králík, Vlastimil, Vondřejc, Jaroslav

Journal:

Cement and Concrete Composites

Year:

2013

Language:

english

File:

PDF, 796 KB

english, 2013

4

An FFT-based Galerkin method for homogenization of periodic media

Vondřejc, Jaroslav, Zeman, Jan, Marek, Ivo

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 526 KB

english, 2014

5

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

Vondřejc, Jaroslav, Zeman, Jan, Marek, Ivo

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 1.16 MB

english, 2015

6

Block Conjugate Gradient Iteration for Fourier-Galerkin Homogenization of Periodic Media

Mishra, Nachiketa, Vondřejc, Jaroslav, Zeman, Jan

Journal:

Year:

2015

Language:

english

File:

PDF, 2.15 MB

english, 2015

7

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

Mishra, Nachiketa, Vondřejc, Jaroslav, Zeman, Jan

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 1.11 MB

english, 2016

8

Improved guaranteed computable bounds on homogenized properties of periodic media by Fourier-Galerkin method with exact integration

Vondřejc, Jaroslav

Journal:

International Journal for Numerical Methods in Engineering

Year:

2015

Language:

english

File:

PDF, 1.74 MB

english, 2015

9

Guaranteed bounds on homogenized periodic media by FFT-based Galerkin method

Vondřejc, Jaroslav, Zeman, Jan, Marek, Ivo

Journal:

Year:

2014

Language:

english

File:

PDF, 202 KB

english, 2014

10

Double Grid Integration with Projection (DoGIP): Application to numerical homogenization by Fourier-Galerkin method

Vondřejc, Jaroslav

Journal:

Year:

2016

Language:

english

File:

PDF, 209 KB

english, 2016

11

Shape optimization of phononic band gap structures using the homogenization approach

Vondřejc, Jaroslav, Rohan, Eduard, Heczko, Jan

Journal:

International Journal of Solids and Structures

Year:

2017

Language:

english

File:

PDF, 3.08 MB

english, 2017

12

Double-grid quadrature with interpolation-projection (DoGIP) as a novel discretisation approach: An application to FEM on simplexes

Vondřejc, Jaroslav

Journal:

Computers & Mathematics with Applications

Year:

2019

File:

PDF, 474 KB

2019

13

Energy-based comparison between the Fourier-Galerkin method and the finite element method

Vondřejc, Jaroslav, de Geus, Tom W.J.

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 1.28 MB

english, 2019

14

Reduced‐order FFT‐based homogenisation by tensor approximation

Liu, Dishi, Vondřejc, Jaroslav, Ladecký, Martin, Matthies, Hermann

Journal:

Year:

2019

Language:

english

File:

PDF, 473 KB

english, 2019

15

Reference material preconditioning for FFT‐based solvers

Ladecký, Martin, Pultarová, Ivana, Zeman, Jan, Vondřejc, Jaroslav

Journal:

Year:

2019

File:

PDF, 360 KB

2019

16

Accurate Computation of Conditional Expectation for Highly Nonlinear Problems

Vondřejc, Jaroslav, Matthies, Hermann G.

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2019

File:

PDF, 672 KB

2019

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