Optimization of lumping schemes for plane square quadratic finite element in elastodynamics
Date issued
2007
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
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.
Description
Subject(s)
šíření vln, disperzní analýza, metoda konečných prvků, matice hmotnosti
Citation
Applied and Computational Mechanics. 2007, vol. 1, no. 1, p. 105-114.