Accuracy of Finite Quadratic Serendipity Elements in Implicit Dynamic Wave Propagation Problems
The result's identifiers
Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Accuracy of Finite Quadratic Serendipity Elements in Implicit Dynamic Wave Propagation Problems
Original language description
The numerical solution of the fast transient elastodynamics problem by the finite element method is influenced by the dispersion errors caused by both spatial and time discretizations. The errors of the phase and group velocities, the diversion of the wave propagation and cut-off frekvency of the FE mesh can be mentioned. In general, dispersion errors can be controlled by a choice of the finite element type, a type of the mass matrix (consistent or lumped) and time integration method.The results of thetime-spatial dispersion analysis of the plane square 8-node serendipity finite element for the Newmark method are presented. Based on the dispersion error analysis, the most accurate and effective solution of the elastic wave propagation is obtained forthe Courant number Co = 0.25 and the element size given by H = 1/3 of wavelength corresponding to 2% dispersion error in the arbitrary direction of wave propagation.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů