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Investigation of regularized techniques for boundary knot method
boundary knot method regularization method singular value decomposition Helmholtz problem
2010/10/22
This study investigates regularization techniques for the boundary knot method (BKM). We consider three regularization methods and two approaches for the determination of the regularization parameter....
Boundary knot method for Poisson equations
Boundary knot method Method of fundamental solution General solution Poisson equation Radial basis function
2010/10/22
The boundary knot method is a recent truly meshfree boundary-type radial basis function (RBF) collocation scheme, where the nonsingular general solution is used instead of the singular fundamental sol...
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems with complicated geometry
boundary knot method radial basis function non-singular general solution method of fundamental solutions dual reciprocity method boundary element
2010/10/22
The boundary knot method (BKM) of very recent origin is an inherently meshless, integration-free, boundary-type, radial basis function collocation technique for the numerical discretization of general...
Numerical convergence of boundary knot method in the analysis of Helmholtz, modified Helmholtz, and convection-diffusion problems
boundary knot method radial basis function method of fundamental solution meshfree boundary elements
2010/10/22
This paper concerns a numerical study of convergence properties of the boundary knot method (BKM) applied to the solution of 2D and 3D homogeneous Helmholtz, modified Helmholtz, and convection-diffusi...