In this paper, biorthogonal wavelets are constructed on nonuniform meshes. Both primal and dual wavelets are locally supported, continuous piecewise polynomials. The wavelets generate Riesz bases for the Sobolev spaces (H s) for (|s| < 3/2). The wavelets at the primal side span standard Lagrange finite element spaces.
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Communicated by Rong-Qing Jia
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Stevenson, R. Locally Supported, Piecewise Polynomial Biorthogonal Wavelets on Nonuniform Meshes. Constr. Approx. 19, 477–508 (2003). https://doi.org/10.1007/s00365-003-0545-2
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DOI: https://doi.org/10.1007/s00365-003-0545-2