Dual reciprocity boundary element method

P.W. Partridge, C.A. Brebbia, and L.C. Wrobel. The dual reciprocity boundary element method. Computational Mechanics, Southampton, 1991. 

Partridge PW, Brebbia CA, Wrobel LC (1992) The Dual Reciprocity Boundary Element Method. Elsevier, London... 

In Chapter 11 of this book we will use the thin spline radial function to develop the radial basis functions collocation method (RBFCM). A well known property of radial interpolation is that it renders a convenient way to calculate derivatives of the interpolated function. This is an advantage over other interpolation functions and it is used in other methods such us the dual reciprocity boundary elements [43], collocation techniques [24], RBFCM, etc. For an interpolated function u,... 

A way of eliminating the domain integral in Eq. 8.81 is based on the well-known idea of combining a particular solution to a complementary solution of a homogeneous problem. This idea was discussed in Buzbee et al. (1971), who named the method the capacitance matrix method. Brebbia and Nardini (1986) have applied the concept to boundary element method and called it the dual reciprocity method (DRM). Henry and Banerjee (1988) have also proposed a related method in the name of the particular integral method. Now, let us consider a particular solution T that satisfies... 

B.A. Davis, P.J. Gramann, J.C. Maetzig, and T.A. Osswald. The dual-reciprocity method for heat transfer in polymer processing. Engineering Analysis with Boundary Elements, 13 249-261, 1994. 

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