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TW 395
Jan Maes, Adhemar Bultheel
On the stability of Powell-Sabin wavelets
Abstract
Recently we developped multiscale spaces of C1 piecewise quadratic polynomials relative to arbitrary polygonal domains Ω ⊂ R2. These multiscale bases are weakly stable with respect to the L2 norm. In this paper we show that these bases form strongly stable Riesz bases for the Sobolov spaces Hs(Ω) with s ∈ (2,5/2)
report.pdf (251K) / mailto: J. Maes