Mixed finite element method for a strongly damped wave equation

Authors
Pani, AK Yuan, JY
Citation
Ak. Pani et Jy. Yuan, Mixed finite element method for a strongly damped wave equation, NUMER M P D, 17(2), 2001, pp. 105-119
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
17
Issue
2
Year of publication
2001
Pages
105 - 119
Database
ISI
SICI code
0749-159X(200103)17:2<105:MFEMFA>2.0.ZU;2-H
Abstract
A mixed finite element Galerkin method is analyzed for a strongly damped wa ve equation. Optimal error estimates in L-2-norm for the velocity and stres s art: derived using usual energy argument, while those for displacement ar e based on the nonstandard energy formulation of Baker. Both a semi-discret e scheme and a second-order implicit-time discretization method are discuss ed, and it is shown that the results are valid for all t > 0. (C) 2001 John Wiley & Sons. Inc.