EFG APPROXIMATION WITH DISCONTINUOUS DERIVATIVES

Citation
Y. Krongauz et T. Belytschko, EFG APPROXIMATION WITH DISCONTINUOUS DERIVATIVES, International journal for numerical methods in engineering, 41(7), 1998, pp. 1215-1233
Citations number
10
Categorie Soggetti
Mathematics,Engineering,Mathematics
ISSN journal
00295981
Volume
41
Issue
7
Year of publication
1998
Pages
1215 - 1233
Database
ISI
SICI code
0029-5981(1998)41:7<1215:EAWDD>2.0.ZU;2-E
Abstract
A technique for incorporating discontinuities in derivatives into mesh less methods is presented. The technique enriches the approximation by adding special shape functions that contain discontinuities in deriva tives. The special shape functions have compact support which results in banded matrix equations. The technique is described in element-free Galerkin context, but is easily applicable to other meshless methods and projections. Numerical results for problems in one and two dimensi ons are reported. (C) 1998 John Wiley & Sons, Ltd.