Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces

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Continuum modelling and simulation of granular flows through their many phases (2014, methodology): “Recently, the Convected Particle Domain Interpolation (CPDI) method in Sadeghirad et al. (2011) and its improved variant CPDI2 in Sadeghirad et al. (2013) have been able to improve the accuracy of this integration even further at no extra computational cost over GIMP, provided that the deformation…”
B-spline based boundary conditions in the material point method (2019, methodology): “Major improvements of the MPM include the development of the generalised interpolation material point (GIMP) method [8], the convected particle domain interpolation (CPDI) method [9] and the second-order convected particle domain interpolation (CPDI2) method [10].”
iGIMP: An implicit generalised interpolation material point method for large deformations (2017, methodology): “These errors have been investigated in [56] and there are a selection of methods that have been proposed to address this issue and improve the MPM including CPDI [57,58], DDMP [59] and the Generalised Interpolation Material Point (GIMP) method [60].”
Imposition of essential boundary conditions in the material point method (2018, methodology): “Convergence plots for displacement errors with respect to the bandwidth 𝛿 and the degree of refinement are shown in Figures 10, 11, and 12, where h is the size of the background grid elements.”