HIGH CONVERGENCE ORDER FINITE-ELEMENTS WITH LUMPED MASS MATRIX

Authors
Citation
Ms. Jensen, HIGH CONVERGENCE ORDER FINITE-ELEMENTS WITH LUMPED MASS MATRIX, International journal for numerical methods in engineering, 39(11), 1996, pp. 1879-1888
Citations number
6
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
39
Issue
11
Year of publication
1996
Pages
1879 - 1888
Database
ISI
SICI code
0029-5981(1996)39:11<1879:HCOFWL>2.0.ZU;2-K
Abstract
A method for deriving hexahedral finite elements with lumped mass matr ices for 3-D-problems is presented. These elements meet the theoretica l conditions for high order convergence, and two numerical examples ba sed on the 3-D scalar wave equation show that this is also the case in practice and that their accuracy is comparable to elements with consi stent mass matrices.