Towards criteria for selecting approximation functions in the Dual Reciprocity Method
Since the publication of a book about the Dual Reciprocity Method in 1992 there has been much research into the development of approximation functions employed with this method, and many new functions have been proposed. Given this wealth of new functions, it is important for engineers to be able to identify an adequate function for a given problem. Unfortunately, most authors, in proposing functions for use in DRM compare results principally with the r function used in the book mentioned above, and which is now considered to be that which has the worst performance. In view of this six examples are solved here using a wide range of functions and the results obtained with each function compared with the aim of establishing some guidelines for selecting the function.
approximation functions dual reciprocity comparative error linear and quadratic elements