Author(s)

A. Charafi & L.C. Wrobel

Abstract

A systematic derivation of ^-hierarchical functions for two- and three-dimensional problems A. CharaA & L.C. Wrobel Wessex Institute of Technology, University of Portsmouth, Ashurst Lodge, Ashurst, Southampton, SO40 7AA, UK INTRODUCTION Adaptive techniques are iterative procedures in which selective refinements are added to the model after each step. Therefore, it is of crucial importance for efficiency that the computational work from one iteration is saved to be used in the next. This can be made possible if the interpolations in the new elements are obtained maintaining the same functions used before, and adding new ones that account for the refinement of the model. Thus, the role of hierarchical formulations is to improve the computational efficiency of adaptive schemes. The first use of ^-hierarchical shape functions in BEM was in Parreira's PhD thesis [1], for constant and linear elements. Extension to quadratic elements has been carried out by Parreira and D

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