TY  - EJOU
AU  - Sladek, Vladimir 
AU  - Sladek, Jan 
AU  - Zhang, Chuanzeng 

TI  - A Comparative Study of Meshless Approximations in Local Integral Equation Method
T2  - Computers, Materials \& Continua

PY  - 2006
VL  - 4
IS  - 3
SN  - 1546-2226

AB  - This paper concerns the stability, convergence of accuracy and cost efficiency of four various formulations for solution of boundary value problems in non-homogeneous elastic solids with functionally graded Young's modulus. The meshless point interpolation method is employed with using various basis functions. The interaction among the elastic continuum constituents is considered in the discretized formulation either by collocation of the governing equations or by integral satisfaction of the force equilibrium on local sub-domains. The exact benchmark solutions are used in numerical tests.
KW  - Integral equation method
KW  -  Integral force equilibrium
KW  -  Collocation method
KW  -  Point interpolation method
KW  -  Radial basis functions
KW  -  Elasticity
KW  -  Functionally Graded Materials (FGMs)

DO  - 10.3970/cmc.2006.004.177