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

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About: Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, to give a linear system which can be efficiently solved by conjugate gradient methods. Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration. 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 discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, to give a linear system which can be efficiently solved by conjugate gradient methods. Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration. (en)
Title	Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients (en)
skos:prefLabel	Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients (en)
skos:notation	RIV/68407700:21110/10:00169181!RIV11-GA0-21110___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA103/09/1748), P(GA201/09/1544), P(GP103/09/P490), S
http://linked.open...iv/cisloPeriodika	21
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Zeman, Jan Vondřejc, Jaroslav Marek, Ivo Novák, J.
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	245159
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/10:00169181
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	Conjugate gradient solvers FFT-based solvers Numerical homogenization Trigonometric collocation method
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[7C8C87DAC1F2]
http://linked.open...i/riv/nazevZdroje	Journal of Computational Physics
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Efficient iterative solvers for large sparse systems of equations preconditioned by aggregation 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...v/svazekPeriodika	229
http://linked.open...iv/tvurceVysledku	Marek, Ivo Novák, Jan Vondřejc, Jaroslav Zeman, Jan
http://linked.open...ain/vavai/riv/wos	000282118500001
issn	0021-9991
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	21110

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