Construction of the matched multiple knot B-spline wavelets on a bounded interval |
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Authors: | F. Zarmehi |
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Affiliation: | Mathematics Department, Vali-e-Asr University of Rafsanjan, PO Box 518, Iran |
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Abstract: | In order to solve a boundary value problem using Galerkin's method, the selection of basis functions plays a crucial rule. When the solution of a boundary value problem is not enough smooth or the domain is irregular, multiple knot B-spline wavelets (MKBSWs) with locally compact support are appropriate basis functions. However, to have globally continuous basis functions, a matching across the subdomain interfaces is required. In other words, MKBSWs that are non-zero in the interelement boundaries should be matched. In this paper, we present the primal and dual matched multiple knot B-spline scaling and wavelet functions whose main properties of smoothness and biorthogonality are kept. |
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Keywords: | multiple knot B-spline wavelet matching |
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