Prediction of Probabilistic Settlements by the Perturbation-Based Spectral Stochastic Meshless Local Petrov–Galerkin Method

Improved reproducing kernel particle method for piezoelectric materials

“…There are a variety of meshless methods, such as the reproducing kernel particle method (RKPM), [5][6][7][8] discontinuous Galerkin method (DGM), [9] polynomial point interpolation method (PPIM), [10,11] boundary integral equation method (BIEM), [12,13] element-free Galerkin method (EFGM), [14][15][16][17] moving least-squares method (MLSM), [18][19][20] smooth parti-cle hydrodynamics (SPH), [21,22] iterative Galerkin method (IGM), [23] radial basis function method (RBFM), [24,25] the partition of unity method (PUM), [26,27] meshless local Petrov-Galerkin method (MLPG), [28][29][30][31] finite point method (FPM), [32,33] Hermite-type radial point interpolation method (Hermite-type RPIM), [34][35][36] meshless manifold method (MMM), [37,38] and complex variable meshless method (CVMM). [39,40] The SPH method, which is based on the kernel estimate introduced by Monaghan, is the earliest meshless method.…”