Y. Krongauz et T. Belytschko, EFG APPROXIMATION WITH DISCONTINUOUS DERIVATIVES, International journal for numerical methods in engineering, 41(7), 1998, pp. 1215-1233
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.