Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations

Authors
Floater, MS Quak, EG
Citation
Ms. Floater et Eg. Quak, Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations, SIAM J NUM, 38(1), 2000, pp. 58-79
Citations number
10
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
38
Issue
1
Year of publication
2000
Pages
58 - 79
Database
ISI
SICI code
0036-1429(20000623)38:1<58:LIASOP>2.0.ZU;2-Y
Abstract
In this paper we establish linear independence and stability of certain pie cewise linear prewavelets over arbitrary bounded triangulations. These prew avelets are natural generalizations of the locally supported element constr ucted by Kotyczka and Oswald for an infinite three-directional mesh.