Higher order triangular finite elements with mass lumping for the wave equation

Authors
Cohen, G Joly, P Roberts, JE Tordjman, N
Citation
G. Cohen et al., Higher order triangular finite elements with mass lumping for the wave equation, SIAM J NUM, 38(6), 2001, pp. 2047-2078
Citations number
34
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
38
Issue
6
Year of publication
2001
Pages
2047 - 2078
Database
ISI
SICI code
0036-1429(20010208)38:6<2047:HOTFEW>2.0.ZU;2-G
Abstract
In this article, we construct new higher order finite element spaces for th e approximation of the two-dimensional (2D) wave equation. These elements l ead to explicit methods after time discretization through the use of approp riate quadrature formulas which permit mass lumping. These formulas are con structed explicitly. Error estimates are provided for the corresponding sem idiscrete problem. Finally, higher order finite difference time discretizat ions are proposed and various numerical results are shown.