The Wavelet Element MethodPart I : Construction and Analysis

  title={The Wavelet Element MethodPart I : Construction and Analysis},
  author={Claudio and Canutoy and Anita and Tabaccoz and Karsten and Urbanx},
  • Claudio, Canutoy, +3 authors Urbanx
  • Published 1997
The Wavelet Element Method (WEM) combines biorthogonal wavelet systems with the philosophy of Spectral Element Methods in order to obtain a biorthogonal wavelet system on fairly general bounded domains in some IR n. The domain of interest is split into subdomains which are mapped to a simple reference domain, here n{dimensional cubes. Thus, one has to construct appropriate biorthogonal wavelets on the reference domain such that mapping them to each subdomain and matching along the interfaces… CONTINUE READING
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The Wavelet Element Method

  • C. Canuto, A. Tabacco, K. Urban
  • Part II: Real- ization and additional features…
  • 1997
Highly Influential
3 Excerpts

Multilevel decompositions of functional spaces

  • C. Canuto, A. Tabacco
  • J. Fourier Anal. Appl., 3
  • 1997
1 Excerpt

deVore, Nonlinear approximation and adaptive tech- niques for solving elliptic operator equations, RWTH Aachen

  • S. Dahlke, W. Dahmen
  • Preprint IGPM No. 132,
  • 1996
1 Excerpt

A posteriori error estimates for the wavelet Galerkin method

  • S. Bertoluzza
  • Appl. Math. Lett., 8, No. 5
  • 1995
1 Excerpt

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