Locally Supported, Piecewise Polynomial Biorthogonal Wavelets on Nonuniform Meshes

摘要

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.