A-PRIORI ESTIMATES FOR MIXED FINITE-ELEMENT APPROXIMATIONS OF 2ND-ORDER HYPERBOLIC-EQUATIONS WITH ABSORBING BOUNDARY-CONDITIONS

Authors
COWSAR LC DUPONT TF WHEELER MF
Citation
Lc. Cowsar et al., A-PRIORI ESTIMATES FOR MIXED FINITE-ELEMENT APPROXIMATIONS OF 2ND-ORDER HYPERBOLIC-EQUATIONS WITH ABSORBING BOUNDARY-CONDITIONS, SIAM journal on numerical analysis, 33(2), 1996, pp. 492-504
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
33
Issue
2
Year of publication
1996
Pages
492 - 504
Database
ISI
SICI code
0036-1429(1996)33:2<492:AEFMFA>2.0.ZU;2-1
Abstract
Optimal-order L(infinity)-in-time, L(2)-in-space a priori error estima tes are derived for mixed finite element approximations for both displ acement and stress for a second-order hyperbolic equation with first-o rder absorbing boundary conditions. Continuous-in-time, explicit-in-ti me, and implicit-in-time procedures are formulated and analyzed.