A survey of applications of the MFS to inverse problems

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A meshless singular boundary method for three‐dimensional elasticity problems (2016, background): “In either case, the unknowns are determined so that the approximations (9) and (10) satisfy, in some sense, the boundary conditions (2) and (3) as close as possible [37, 38].”
Generalized finite difference method for solving two-dimensional inverse Cauchy problems (2015, methodology): “In addition to mesh-based numerical methods, there are many promising meshless methods proposed and developed in the past few decades, such as the MFS,[11,12] the MCTM,[13–15] the method of approximate particular solutions,[16,17] the local radial basis function collocation method (LRBFCM),[18–24] t”
Application of the Generalized Finite-Difference Method to Inverse Biharmonic Boundary-Value Problems (2014, background): “One other major part of inverse problems [4, 5] lacks of well-posed boundary conditions.”
Infinite domain potential problems by a new formulation of singular boundary method (2013, background): “This approach, however, has attracted limited attention primarily because of its high computational cost and the criticism that one often transforms a linear boundary value problem to a non-linear discrete problem [32].”