An improved element free Galerkin formulation. (English) Zbl 0895.73079

Kaljević, Igor; Saigal, Sunil

Int. J. Numer. Methods Eng. 40, No. 16, 2953-2974 (1997).

Summary: An improved formulation of element-free Galerkin method (EFGM) is presented. The major shortcoming of the conventional EFGM is that, due to the use of moving least-squares (MLS) approximation, it does not allow the explicit prescription of boundary conditions. Lagrange multipliers have been employed to circumvent this problem undermining the attractiveness of the method. The proposed EFGM formulation eliminates this shortcoming through the use of a set of MLS interpolants that employ singular weight functions. The validity, accuracy and efficiency of the present formulation are demonstrated through the solution of a variety of example problems.

MSC:

74S30	Other numerical methods in solid mechanics (MSC2010)
74S05	Finite element methods applied to problems in solid mechanics

Keywords:

interpolation function; cell subdivision; variable domain of influence; moving least-squares approximation; Lagrange multipliers

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