zbMATH — the first resource for mathematics

EFG approximation with discontinuous derivatives. (English) Zbl 0906.73063
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.

74S05 Finite element methods applied to problems in solid mechanics
Full Text: DOI
[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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.