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

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–diffusion problems. The BKM is a new boundary-type, meshfree radial function basis collocation technique. T...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 192; no. 15; pp. 1859 - 1875
Main Authors:	Chen, W., Hon, Y.C.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.01.2003 Elsevier
Subjects:	Boundary elements Boundary knot method Boundary-integral methods Computational techniques Exact sciences and technology Mathematical methods in physics Meshfree Method of fundamental solution Physics Radial basis function Radial basis function Method of fundamental solution 25 Boundary elements 05 49 60 Boundary knot method 10 Meshfree Helmholtz equations Singularity Three dimensional model Particular solution Meshless method Convection diffusion equation Numerical method Collocation method Numerical convergence Boundary element method
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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