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A quadratic finite element wavelet Riesz basis
Published 3 Jan 2018 in math.NA | (1801.00978v1)
Abstract: In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in $\mathbb{R}2$. The wavelets are stable in $Hs$ for $|s|<\frac{3}{2}$ and have two vanishing moments. Each wavelet is a linear combination of 11 or 13 nodal basis functions. Numerically computed condition numbers for $s \in {-1,0,1}$ are provided for the unit square.
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