MESHFREE METHODS AND THEIR COMPARISONS

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A face‐based smoothed finite element method (FS‐FEM) for 3D linear and geometrically non‐linear solid mechanics problems using 4‐node tetrahedral elements (2009, methodology): “In the other front of development, meshfree methods have been developed for various types of problems [4, 5].”
Structural shape and topology optimization using a meshless Galerkin level set method (2012, methodology): “The meshless methods based on Galerkin weak forms (global or local) include the element-free Galerkin (EFG) method [28], the reproducing kernel particle method (RKPM) [29], the hp-clouds method [30], and the partition of unity method [31], the meshless local Petrov–Galerkin method [32], the point in”
An implicit RBF meshless approach for time fractional diffusion equations (2011, methodology): “Depending on whether a numerical integration is used in developing the system of algebraic equations, the meshless methods can be largely grouped into two different categories [16]: meshless methods based on collocation techniques and meshless methods based on the general weak-forms of ordinary (par”