Krongauz, Y.; Belytschko, T. EFG approximation with discontinuous derivatives. (English) Zbl 0906.73063 Int. J. Numer. Methods Eng. 41, No. 7, 1215-1233 (1998). 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. Cited in 58 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics Keywords:meshless methods; shape functions; banded matrix equations; projections PDFBibTeX XMLCite \textit{Y. Krongauz} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 41, No. 7, 1215--1233 (1998; Zbl 0906.73063) References: [1] Belytschko, Int. J. Numer. Meth. Engng. 37 pp 229– (1994) [2] Belytschko, J. Comput. Appl. Math. 74 pp 111– (1996) [3] Cordes, Comput. Meth. Appl. Mech. Engng. 139 pp 75– (1996) [4] Duarte, Comput. Meth. Appl. Mech. Engng. 139 pp 237– (1996) [5] Liu, Int. J. Numer. Meth. Fluids 20 pp 1081– (1995) [6] Lancaster, Math. Comput. 37 pp 141– (1981) [7] Krongauz, Comput. Meth. Appl. Mech. Engng. 131 pp 133– (1996) [8] Belytschko, Comput. Meth. Appl. Mech. Engng. 139 pp 3– (1996) [9] , Micromechanics of Defects in Solids, Nijhoff, The Hague, 1987. · doi:10.1007/978-94-009-3489-4 [10] Melenk, Comput. Meth. Appl. Mech. Engng. 39 pp 289– (1996) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.