Dual reciprocity method

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 withBoundary Elements, 13 249-261, 1994. 

W.F. Florez. Multi-domain dual reciprocity method for the solution of nonlinear flow problems. PhD thesis, University of Wales, Wessex Institute of Technology, Southampton, 2000. 

BEM) or using dual reciprocity method (which requires a set of additional collocation points defined in the solution domain). 

The BEM has been applied in scanning electrochemical microscopy applications by Fisher and Denuault [169] to examine the influence of probe and substrate surface topography. In addition, time-dependent phenomena have been assessed in oil droplets [170, 171] and a range of microelectrode geometries using the dual reciprocity method (DRM) [172] closely related to the BEM [173]. 

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... 

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,... 

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... 

Fulian Q, Ball JC, Marken F, Compton RG, Fisher AC (2000) Volttimmetry of electroactive oil droplets. Part I numerical modeUing for three mechanistic models using the dual reciprocity finite element method. Electroanalysis 12 1012-1016... 

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