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- W2129774639 abstract "In [W. Dahmen, R. Stevenson, Element-by-element construction of wavelets satisfying stability and moment conditions, SIAM J. Numer. Anal. 37 (1) (1999) 319–352 (electronic)], finite element wavelets were constructed on polygonal domains or Lipschitz manifolds that are piecewise parametrized by mappings with constant Jacobian determinants. The wavelets could be arranged to have any desired order of cancellation properties, and they generated stable bases for the Sobolev spaces Hs for |s|<32 (or |s|≤1 on manifolds). Unfortunately, it appears that the quantitative properties of these wavelets are rather disappointing. In this paper, we modify the construction from the above-mentioned work to obtain finite element wavelets which are much better conditioned." @default.
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- W2129774639 date "2009-08-01" @default.
- W2129774639 modified "2023-09-28" @default.
- W2129774639 title "Finite element wavelets with improved quantitative properties" @default.
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- W2129774639 doi "https://doi.org/10.1016/j.cam.2009.01.007" @default.
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