National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Temporal-spatial dispersion analysis of finite element method in implicit time integration
Kruisová, Alena ; Kolman, Radek ; Mračko, Michal ; Okrouhlík, Miloslav
The temporal-spatial dispersion analysis for the linear finite element method with implicit time integration is presented. The Newmark method with β = 1/2 and γ = 1/4 is used as well as the consistent\nmass matrix. The temporal-spatial dispersion relationships are derived in the closed form and analyzed due to errors in numerical wave speed of propagation of harmonic wave. Based on this temporal-spatial dispersion analysis, a suitable mesh size and time step size for allowed errors in phase speed are mentioned as well as we present the polar dispersion graphs.
Effect of time integration on dispersion properties of quadratic finite elements in elasto-dynamics
Kolman, Radek ; Okrouhlík, Miloslav ; Plešek, Jiří
In the paper, the dispersion relationships of plane quadratic finite elements for central difference method and Newmark's method are derived. The graphs for the mesh density and time step check wtih respect the dispersive behaviour are presented.

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