Building wavelets on ] 0,1 [ at large scales (Articolo in rivista)

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Label
  • Building wavelets on ] 0,1 [ at large scales (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bertoluzza S.(1), Falletta S.(2) (2003)
    Building wavelets on ] 0,1 [ at large scales
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bertoluzza S.(1), Falletta S.(2) (literal)
Pagina inizio
  • 261 (literal)
Pagina fine
  • 288 (literal)
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  • Impact Factor rivista: 0.812. (literal)
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  • 9 (literal)
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  • One of the main limitations to the full applicability of wavelet methods for solving partial differential equations, in a realistic general context, is the issue of non trivial geometries. Lately the research in this respect has been mainly directed to the use of a domain decomposition approach. The use of wavelets in this context has uncovered a limitation of the existing construction of wavelets on the interval, namely the ``non interacting boundaries'' which implies that in each subdomain the minimum number of degrees of freedom is ^{dj_0}$ in dimension $d$ (where in realistic situations $j_0$ may assume values of the size of ,5$). The result obtained in the above paper allows to relax such a restriction, and then to give more flexibility in the use of wavelets in a domain decomposition framework. (literal)
Note
  • ISI Web of Science (WOS) (literal)
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  • (1) UNI-Pavia; (2) IMATI-CNR (literal)
Titolo
  • Building wavelets on ] 0,1 [ at large scales (literal)
Abstract
  • We present a new approach to the construction of orthonormal wavelets on the interval which allows to overcome the ``non interacting boundaries'' restriction of existing constructions, and therefore to construct wavelets for ]0,1[ also at large scales in such a way that, in the range of validity of the existing constructions, the two approaches give the same result. (literal)
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