A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method

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A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part I theory (2010, methodology): “A more general cell-based smoothed model is the recent cell-based smoothed point interpolation method [21] using general PIM or RPIM shape functions.”
A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids (2010, unknown): “In the CS-PIM and CS-RPIM, however, only one smoothing cell per triangular background cell is used, and hence the model can be on the soft side, leading to less accurate solutions for some problems with weak constraints.”
A theoretical study on the smoothed FEM (S‐FEM) models: Properties, accuracy and convergence rates (2010, methodology): “Briefing on a G1 space A G space of a set of discrete functions was established in the recent work by Liu [41] and Liu and Zhang [45], especially in the meshfree methods [1].”
A G space theory and a weakened weak (W2) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems (2010, methodology): “Typical W2 models are the NS-PIM [2, 3], NS-RPIM [9], ES-PIM [19], ES-RPIM [19], ES-PIM [20], and CS-PIM [20].”