Weighted extended B-spline approximation of Dirichlet problems

Authors
Hollig, K Reif, U Wipper, J
Citation
K. Hollig et al., Weighted extended B-spline approximation of Dirichlet problems, SIAM J NUM, 39(2), 2001, pp. 442-462
Citations number
31
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
39
Issue
2
Year of publication
2001
Pages
442 - 462
Database
ISI
SICI code
0036-1429(20010708)39:2<442:WEBAOD>2.0.ZU;2-F
Abstract
We describe a new finite element method which uses weighted extended B-spli nes on a regular grid as basis functions for solving Dirichlet problems on bounded domains in arbitrary dimensions. This web-method does not require a ny grid generation and can be implemented very efficiently. It yields smoot h, high order accurate approximations with relatively low dimensional subsp aces.