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Description
  • 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 discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, resulting in a linear system which can be efficiently solved using conjugate gradient methods. Computational experiments presented below confirm robustness of the algorithm with respect to setting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration.
  • 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 discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, resulting in a linear system which can be efficiently solved using conjugate gradient methods. Computational experiments presented below confirm robustness of the algorithm with respect to setting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration. (en)
Title
  • Fast Fourier Transform based Method for Modelling of Heterogeneous Materials
  • Fast Fourier Transform based Method for Modelling of Heterogeneous Materials (en)
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  • Fast Fourier Transform based Method for Modelling of Heterogeneous Materials
  • Fast Fourier Transform based Method for Modelling of Heterogeneous Materials (en)
skos:notation
  • RIV/68407700:21110/11:00181243!RIV12-MSM-21110___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA103/09/1748), P(GP103/09/P490), S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 199363
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21110/11:00181243
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Heterogeneous materials, FFT (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [4B69D16CA0BA]
http://linked.open...v/mistoKonaniAkce
  • Rožnov pod Radhoštěm
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  • Ostrava
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  • SNA'11 Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Marek, Ivo
  • Vondřejc, Jaroslav
  • Zeman, Jan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Ústav geoniky AV ČR
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  • 978-80-86407-19-7
http://localhost/t...ganizacniJednotka
  • 21110
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