Title: Optimization of lumping schemes for plane square quadratic finite element in elastodynamics
Authors: Kolman, Radek
Plešek, Jiří
Gabriel, Dušan
Okrouhlík, Miloslav
Citation: Applied and Computational Mechanics. 2007, vol. 1, no. 1, p. 105-114.
Issue Date: 2007
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol1no1_p012.pdf
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: šíření vln;disperzní analýza;metoda konečných prvků;matice hmotnosti
Keywords in different language: wave propagation;dispersion analysis;finite element method;mass matrix
Abstract: The effectiveness of explicit direct time-integration methods is conditioned by using diagonal mass matrix which entails significant computational savings and storage advantages. In recent years many procedures that produced diagonally lumped mass matrices were developed. For example, the row sum method and diagonal scaling method (HRZ procedure) can be mentioned. In this paper, the dispersive properties of different lumping matrices with variable mass distribution for the plane square 8-node serendipity elements are investigated. The dispersion diagrams for such lumping matrices are derived for various Courant numbers, wavelengths and the directions of wave propagation.
Rights: © 2007 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 1, number 1 (2007)
Volume 1, number 1 (2007)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/1820

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