TY - EJOU AU - Zhang, J.Y. AU - Wang, F.Z. TI - Boundary Knot Method: An Overview and Some Novel Approaches T2 - Computer Modeling in Engineering \& Sciences PY - 2012 VL - 88 IS - 2 SN - 1526-1506 AB - The boundary knot method (BKM) is a kind of boundary-type meshless method, only boundary points are needed in the solution process. Since the BKM is mathematically simple and easy to implement, it is superior in dealing with Helmholtz problems with high wavenumbers and high dimensional problems. In this paper, we give an overview of the traditional BKM with collocation approach and provide three novel approaches for the BKM, as far as they are relevant for the other boundary-type techniques. The promising research directions are expected from an improved BKM aspect. KW - Collocation KW - least-square KW - Galerkin KW - variational KW - Helmholtz equation KW - non-singular general solution DO - 10.3970/cmes.2012.088.141