About: Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics

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About: Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The spatial discretisation of a continuum by the FEM introduces dispersion errors to the numerical solution of stress wave propagation. When the propagating phenomena are modelled by the FEM, the speed of a single harmonic wave depends on its frequency. With higher order finite elements, there are optical modes in the spectrum resulting in spurious oscillations of stress and velocity distributions near the sharp wavefronts. For reliable numerical solutions by the FEM, the dispersion errors should be analysed and determined. The dispersion properties of a plane square biquadratic serendipity finite element are examined and compared with a bilinear one. Dispersion analysis is carried out for the consistent and lumped mass matrices. A dispersive improved’ lumped mass matrix for biquadratic serendipity elements is proposed. The paper closes with the recommendation of a choice of permissible dimensionless wavelengths for bilinear and biquadratic serendipity finite element meshes. The spatial discretisation of a continuum by the FEM introduces dispersion errors to the numerical solution of stress wave propagation. When the propagating phenomena are modelled by the FEM, the speed of a single harmonic wave depends on its frequency. With higher order finite elements, there are optical modes in the spectrum resulting in spurious oscillations of stress and velocity distributions near the sharp wavefronts. For reliable numerical solutions by the FEM, the dispersion errors should be analysed and determined. The dispersion properties of a plane square biquadratic serendipity finite element are examined and compared with a bilinear one. Dispersion analysis is carried out for the consistent and lumped mass matrices. A dispersive improved’ lumped mass matrix for biquadratic serendipity elements is proposed. The paper closes with the recommendation of a choice of permissible dimensionless wavelengths for bilinear and biquadratic serendipity finite element meshes. (en)
Title	Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics (en)
skos:prefLabel	Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics (en)
skos:notation	RIV/61388998:_____/13:00395253!RIV14-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	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Okrouhlík, Miloslav Gabriel, Dušan 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	76893
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/13:00395253
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	wave propagation; dispersion properties; biquadratic serendipity finite elements (en)
http://linked.open.../riv/klicoveSlovo	wave propagation biquadratic serendipity finite elements dispersion properties
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[83A0053B7757]
http://linked.open...i/riv/nazevZdroje	International Journal for Numerical Methods in Engineering
http://linked.open...in/vavai/riv/obor	BI
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (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	2013
http://linked.open...v/svazekPeriodika	96
http://linked.open...iv/tvurceVysledku	Kolman, Radek Plešek, Jiří Gabriel, Dušan Okrouhlík, Miloslav
http://linked.open...ain/vavai/riv/wos	000323887400001
issn	0029-5981
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/nme.4539

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