18 citations · 62 across the 11 of their papers we have counts for
11 papers
Boundary knot method for Laplace and biharmonic problems
W. Chen
The boundary knot method (BKM) [1] is a meshless boundary-type radial basis function (RBF) collocation scheme, where the nonsingular general solution is used instead of fundamental…
RBF-based meshless boundary knot method and boundary particle method
W. Chen
This paper is concerned with the two new boundary-type radial basis function collocation schemes, boundary knot method (BKM) and boundary particle method (BPM). The BKM is develope…
Definitions of distance function in radial basis function approach
W. Chen
Very few studies involve how to construct the efficient RBFs by means of problem features. Recently the present author presented general solution RBF (GS-RBF) methodology to create…
New Insights in Boundary-only and Domain-type RBF Methods
W. Chen, M. Tanaka
This paper has made some significant advances in the boundary-only and domain-type RBF techniques. The proposed boundary knot method (BKM) is different from the standard boundary e…
Relationship between boundary integral equation and radial basis function
W. Chen, M. Tanaka
This paper aims to survey our recent work relating to the radial basis function (RBF) from some new views of points. In the first part, we established the RBF on numerical integrat…
New advances in dual reciprocity and boundary-only RBF methods
W. Chen, M. Tanaka
This paper made some significant advances in the dual reciprocity and boundary-only RBF techniques. The proposed boundary knot method (BKM) is different from the standard boundary…