About: Fast Fourier Transform based homogenization solved by iterative solvers

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 homogenization solved by iterative solvers Fast Fourier Transform based homogenization solved by iterative solvers (en)
skos:prefLabel	Fast Fourier Transform based homogenization solved by iterative solvers Fast Fourier Transform based homogenization solved by iterative solvers (en)
skos:notation	RIV/68407700:21110/10:00169425!RIV11-GA0-21110___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA103/09/1748), P(GP103/09/P490), S
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Zeman, Jan Vondřejc, Jaroslav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	258827
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/10:00169425
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	numerical homogenization; FFT-based solvers; trigonometric collocation method; conjugate gradient solvers (en)
http://linked.open.../riv/klicoveSlovo	trigonometric collocation method numerical homogenization conjugate gradient solvers FFT-based solvers
http://linked.open...ontrolniKodProRIV	[BF89515F9767]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Proceedings of International Conference on Modelling and Simulation 2010 in Prague
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Integration of experimental nanoindentation with numerical tools for upscaling of nanomechanical properties of heteregeneous materials Simulation of heterogeneous materials based on integral equations
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Vondřejc, Jaroslav Zeman, Jan
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2010-06-22 (xsd:date)
number of pages	3 (xsd:int)
http://purl.org/ne...btex#hasPublisher	České vysoké učení technické v Praze
https://schema.org/isbn	978-80-01-04574-9
http://localhost/t...ganizacniJednotka	21110

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