Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems

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A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, methodology): “Ma (2005a) started to employ the MLPG method to solve water wave problems.”
A meshfree method for fully coupled analysis of flow and deformation in unsaturated porous media (2013, methodology): “These methods have been successfully applied to many engineering problems involving solid mechanics [6, 9], heat conduction [10–14], fluid flow [15–18], consolidation [19–21] and wave propagation [22, 23].”
QALE‐FEM for numerical modelling of non‐linear interaction between 3D moored floating bodies and steep waves (2009, methodology): “20 moving least square method (MLS) similar to that described in [61].”
Corrected First-Order Derivative ISPH in Water Wave Simulations (2017, methodology): “Thirdly, the Moving Least Square (MLS) principle was adopted for this purpose (Atluri and Shen, 2002; Ma, 2005).”
A new meshless interpolation scheme for MLPG_R method (2008, methodology): “In Ma (2005b), the MLPG method was developed into a new form called the MLPG_R method, suitable for modelling nonlinear water waves.”