Author(s)

W.S. Hall and R.A. McKenzie

Abstract

We present a sparse h-adaptive boundary integral equation solution for the 2D Laplace equation using the multi-wavelets of Alpert. we show that using the zero moment properties and the compact support properties of the multi-wavelet basis we can produce an auto-refining method. Furthermore using the same properties of the multi-wavelets on the matrices, they can be made sparse. Unforunately the structure of the sparse matrices makes it very difficult to make use of fast iterative solvers. We show that the h-adaption proceeds in an identical fashion for both the untruncated and truncated system matrices (even with very severe truncation of modest sized system matrices). 1 Introduction In this paper we give an h-adaptive meth

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