×

zbMATH — the first resource for mathematics

An improved element free Galerkin formulation. (English) Zbl 0895.73079
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
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Nayroles, Comput. Mech. 10 pp 307– (1992)
[2] Belytschko, Int. J. Numer. Meth. Engng. 37 pp 229– (1994)
[3] Lu, Comput. Methods Appl. Mech. Eng. 113 pp 397– (1994)
[4] Lancaster, Math. Comput. 37 pp 141– (1981)
[5] Krongauz, Comput. Methods Appl Mech. Eng. 131 pp 1335– (1996)
[6] and , Computational Geometry: An Introduction, Springer, New York, 1985. · doi:10.1007/978-1-4612-1098-6
[7] Ergatoudis, Int. J. Solids Struct. 4 pp 31– (1968)
[8] The Finite Element Method, McGraw-Hill, New York, NY, 1975.
[9] and , Theory of Elasticity, McGraw-Hill, New York, NY, 1970.
[10] Spilker, Int. J. Numer. Meth. Engng. 17 pp 1469– (1981)
[11] and , The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, PA, 1973.
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.