Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection–diffusion problems

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Singular boundary method for solving plane strain elastostatic problems (2011, methodology): “These methods include, but are not limited to, the boundary knot method (BKM) (Chen and Hon, 2003; Chen and Tanaka, 2002); the boundary particle method (BPM) (Chen and Fu, 2009; Fu et al.”
Regularized meshless method for multiply-connected-domain Laplace problems (2006, methodology): “The boundary knot method (BKM) [1–5], boundary particle method [6] and method of fundamental solutions (MFS) [7–9] belong one kind of the boundary-discretization-type meshless methods.”
A method of fundamental solutions without fictitious boundary (2010, methodology): “For instance, the method of fundamental solutions (MFS) [1–4], boundary knot method [5], boundary collocation method [6], boundary node method [7, 8], regularized meshless method (RMM) [9, 10], and modified method of fundamental solution [11] etc.”
Novel meshless method for solving the potential problems with arbitrary domain (2005, methodology): “In these BKM and BCM references, the methods only worked well in regular geometry with the Dirichlet and Neumann BCs.”