NEGATIVE NORM ESTIMATES FOR FULLY DISCRETE FINITE-ELEMENT APPROXIMATIONS TO THE WAVE-EQUATION WITH NONHOMOGENEOUS L(2) DIRICHLET BOUNDARY DATA

Authors
BALES L LASIECKA I
Citation
L. Bales et I. Lasiecka, NEGATIVE NORM ESTIMATES FOR FULLY DISCRETE FINITE-ELEMENT APPROXIMATIONS TO THE WAVE-EQUATION WITH NONHOMOGENEOUS L(2) DIRICHLET BOUNDARY DATA, Mathematics of computation, 64(209), 1995, pp. 89-115
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
64
Issue
209
Year of publication
1995
Pages
89 - 115
Database
ISI
SICI code
0025-5718(1995)64:209<89:NNEFFD>2.0.ZU;2-1
Abstract
This paper treats time and space finite element approximations of the solution to the nonhomogeneous wave equation with L(2) boundary terms and smooth right-hand side. For the case of L(2) boundary data, the ra tes of convergence in negative norms are derived. In the case of smoot h forcing term and zero boundary data, optimal rates of convergence in ''positive'' norms are provided.