An analysis of new mixed finite elements for the approximation of wave propagation problems

Authors
Becache, E Joly, P Tsogka, C
Citation
E. Becache et al., An analysis of new mixed finite elements for the approximation of wave propagation problems, SIAM J NUM, 37(4), 2000, pp. 1053-1084
Citations number
26
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
37
Issue
4
Year of publication
2000
Pages
1053 - 1084
Database
ISI
SICI code
0036-1429(20000427)37:4<1053:AAONMF>2.0.ZU;2-M
Abstract
We construct and analyze a new family of rectangular (two-dimensional) or c ubic (three-dimensional) mixed finite elements for the approximation of the acoustic wave equations. The main advantage of this element is that it per mits us to obtain through mass lumping an explicit scheme even in an anisot ropic medium. Nonclassical error estimates are given for this new element.