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Zbl 0906.73063
Krongauz, Y.; Belytschko, T.
EFG approximation with discontinuous derivatives. (English)
[J] Int. J. Numer. Methods Eng. 41, No.7, 1215-1233 (1998). ISSN 0029-5981

Summary: A technique for incorporating discontinuities in derivatives into meshless methods is presented. The technique enriches the approximation by adding special shape functions that contain discontinuities in derivatives. The special shape functions have compact support which results in banded matrix equations. The technique is described in element-free Galerkin (EFG) context, but is easily applicable to other meshless methods and projections. Numerical results for problems in one and two dimensions are reported.

MSC 2000:: *74S05 Finite element methods

Keywords: meshless methods; shape functions; banded matrix equations; projections

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