A quadratic finite element wavelet Riesz basis

Authors
Publication date 2018
Journal International Journal of Wavelets, Multiresolution and Information Processing
Article number 1850033
Volume | Issue number 16 | 4
Number of pages 17
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in R2. The wavelets are stable in Hs for |s| < 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 {-1, 0, 1} are provided for the unit square.
Document type Article
Language English
Published at
https://doi.org/10.1142/S0219691318500339 (Final published version)
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