Optimal transportation meshfree approximation schemes for fluid and plastic flows

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Meshfree Methods: Progress Made after 20 Years (2017, unknown): “…nodal integration (Hillman and Chen 2016); (cid:129) NURBS: non-uniform rational B-splines; (cid:129) OTM: optimal transportation meshfree (Li et al. 2010); (cid:129) PD: peridynamics (Silling and Askari 2005; Silling et al. 2007); (cid:129) PFEM: particle finite element method (Idelsohn…”
Probabilistic Meshless Methods for Partial Differential Equations and Bayesian Inverse Problems (2016, background): “There is extensive empirical evidence in support of meshless methods in the solution of PDEs in situations with strong boundary effects, or when the domain itself is time-dependent, and especially when the evolutionary rates are large [Li et al., 2010, 2012].”
Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment (2013, methodology): “[32] developed an optimal transportation mesh-free method for simulating general solid and fluid flows, including fluid–structure interaction.”