RKPMReproducing Kernel Particle Methods
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Liew et al., in 2011, presented their review on meshless methods for laminated and functionally graded plates and shells, wherein EFG and RKPM methods and their applications, including static and dynamic analysis, buckling, free vibration, and non-linear analysis, were in focus [12].
RKPM, DestNode, BS, [ERKn.sub.i] (DestID, [k.sub.i,] [k.sub.i-l] H (SK, [k.sub.i] [direct sum] [k.sub.i-1] [direct sum] T2), RDT, T3)
Researchers have presented many kinds of meshless methods, including the diffuse element method (DEM) [31], the smoothed particle hydrodynamics (SPH) method [32], the reproducing kernel particle method (RKPM) [33], the element-free Galerkin (EFG) method [34-37], the meshless local Petrov-Galerkin method (MLPG) [38-40], the hp-meshless cloud method [41], boundary element-free method (BEFM) [42, 43], the complex variable meshless method [44, 45], radius basis functions (RBF) [46], and LBIE method [47].
There are many meshless methods, such as smoothed particle hydrodynamics method (SPH) [9, 10], the element-free Galerkin (EFG) method [11, 12], the collocation point method [13], the finite point method (FPM) [14, 15], reproducing kernel particle method (RKPM) [16], multiscale reproducing kernel particle method [17], the hp cloud method [18], the partition of unity finite element method [19, 20], generalized finite element method [21], meshless local Petrov-Galerkin method [22], least-square collocation meshless method [23], meshless weighted least-square method [24], complex variable meshless method (CVMM) [25, 26], and complex variable meshless manifold method (CVMMM) [27].