Author(s)

W. Toutip, A.J. Davies and M.C. Bartholomew-Biggs

Abstract

The dual reciprocity method provides a boundary integral technique for solving boundary value problems with source terms. As such it is an attractive alternative to techniques such as finite differences or finite elements. Unfortunately, normal derivative values are frequently calculated much less accurately then are function values. Various approaches have been proposed in other boundary element situations viz multiple nodes, discontinuous elements and the gradient method. The gradient method works particularly well with the dual reciprocity method and gives improved flux values over a wide variety of linear and non-linear problems. 1 Introduction The boundary element method for the solution of homogeneous elliptic boundary-value problems, in which the boundary-value problem is replaced by an eq

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