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AbstractThis paper derives a class of finite elements from wavelets generated using affine, fractal interpolation functions (AFIF). The finite elements derived from wavelets generated from an AFIF differ from recent elements derived by the authors in that multivalued scaling functions are employed. These elements are similar to conventional finite elements in that they are compactly supported, and...
AbstractThis paper develops a class of finite elements for compactly supported, shift-invariant functions that satisfy a dyadic refinement equation. Commonly referred to as wavelets, these basis functions have been shown to be remarkably well-suited for integral operator compression, but somewhat more difficult to employ for the representation of arbitrary boundary conditions in the solution of partial...
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