Boundary knot method for 2D and 3D Helmholtz and convection–diffusion problems under complicated geometry

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A method based on meshless approach for the numerical solution of the two‐space dimensional hyperbolic telegraph equation (2012, methodology): “In [35], the BKM is extended to solve the 2D Helmholtz and convection-diffusion problems under rather complex-shaped interior and exterior contours, which shows that unlike the MFS, the BKM is insensitive to geometric irregularity.”
Infinite domain potential problems by a new formulation of singular boundary method (2013, methodology): “On the other hand, the second kind of algorithms are developed to avoid the use of the singular basis functions such as the boundary knot method (BKM) [28,29], the boundary collocation method (BCM) [30], and the collocation Trefftz method (CTM) [31].”
A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function (2004, methodology): “Several meshless methods have also been reported in the literature, for example, the domain-based methods including the element-free Galerkin method [2], the reproducing kernel method [3], and boundary-based methods including the boundary node method [4], the meshless local Petrov–Galerkin approach ”