About: Complex wavenumber Fourier analysis of the B-spline based finite element method

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present the results of one-dimensional complex wavenumber Fourier analysis of the B-spline variant of Finite Element Method (FEM). Generally, numerical results of elastic wave propagation in solids obtained by FEM are polluted by dispersion and attenuation. It was shown for the higher-order B-spline based FEM, that the optical modes did not occur in the case of infinite domains, unlike the higher-order Lagrangian and Hermitian finite elements, and also the dispersion errors are smaller. The paper’s main focus is on the wave propagation through B-spline multi-patch/segment discretization with the C0C0 connection of B-spline segments and, chiefly, to the determining of dispersion and attenuation dependences. The numerical approach employed leads to substantial minimization of dispersion errors. Furthermore, the errors decrease in line with the increasing order of the B-spline elements/segments, with the local refinement, and also by the particular choice of the positions of control points through the optimizing procedure. We present the results of one-dimensional complex wavenumber Fourier analysis of the B-spline variant of Finite Element Method (FEM). Generally, numerical results of elastic wave propagation in solids obtained by FEM are polluted by dispersion and attenuation. It was shown for the higher-order B-spline based FEM, that the optical modes did not occur in the case of infinite domains, unlike the higher-order Lagrangian and Hermitian finite elements, and also the dispersion errors are smaller. The paper’s main focus is on the wave propagation through B-spline multi-patch/segment discretization with the C0C0 connection of B-spline segments and, chiefly, to the determining of dispersion and attenuation dependences. The numerical approach employed leads to substantial minimization of dispersion errors. Furthermore, the errors decrease in line with the increasing order of the B-spline elements/segments, with the local refinement, and also by the particular choice of the positions of control points through the optimizing procedure. (en)
Title	Complex wavenumber Fourier analysis of the B-spline based finite element method Complex wavenumber Fourier analysis of the B-spline based finite element method (en)
skos:prefLabel	Complex wavenumber Fourier analysis of the B-spline based finite element method Complex wavenumber Fourier analysis of the B-spline based finite element method (en)
skos:notation	RIV/61388998:_____/14:00424876!RIV15-GA0-61388998
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA101/09/1630), P(GAP101/11/0288), P(GAP101/12/2315), P(GPP101/10/P376)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Okrouhlík, Miloslav Kolman, Radek Plešek, Jiří
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	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	8376
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/14:00424876
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	elastic wave propagation; dispersion errors; B-spline; finite element method; isogeometric analysis (en)
http://linked.open.../riv/klicoveSlovo	elastic wave propagation B-spline finite element method isogeometric analysis dispersion errors
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[BB513E8EC689]
http://linked.open...i/riv/nazevZdroje	Wave Motion
http://linked.open...in/vavai/riv/obor	JR
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Numerical solution to steady-state and transient wave dispersion in mechanical systems on different scales Design of intelligent composite structures Study of dispersion properties of finite element method in elastic wave propagation problems Modelling of acoustic wave propagation in strongly heterogeneous media; multi-scale numerical and analytical approaches
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	51
http://linked.open...iv/tvurceVysledku	Kolman, Radek Plešek, Jiří Okrouhlík, Miloslav
http://linked.open...ain/vavai/riv/wos	000332054600012
issn	0165-2125
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.wavemoti.2013.09.003

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