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Adaptive Wavelet Schemes for Elliptic Problems Implementation and Numerical Experiments (1998)  (Make Corrections)  (8 citations)
Arne Barinka, Titus Barsch, PHILIPPE CHARTON, ALBERT COHEN, STEPHAN DAHLKE, WOLFGANG DAHMEN, KARSTEN URBAN



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Abstract: . Recently an adaptive wavelet scheme could be proved to be asymptotically optimal for a wide class of elliptic operator equations in the sense that the error achieved by an adaptive approximate solution behaves asymptotically like the smallest possible error that can be realized by any linear combination of the corresponding number of wavelets. On one hand, the results are purely asymptotic. On the other hand, the analysis suggests new algorithmic ingredients for which no prototypes seem to... (Update)

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BibTeX entry:   (Update)

A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, K. Urban, Adaptive wavelet schemes for elliptic problems { Implementation and numerical experiments, IGPM Report # 173, June 1999, RWTH Aachen. 35 http://citeseer.ist.psu.edu/barinka98adaptive.html   More

@misc{ barinka99adaptive,
  author = "A. Barinka and T. Barsch and P. Charton and A. Cohen and S. Dahlke and
    W. Dahmen and K. Urban",
  title = "Adaptive wavelet schemes for elliptic problems { Implementation and numerical
    experiments",
  text = "A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, K. Urban,
    Adaptive wavelet schemes for elliptic problems { Implementation and numerical
    experiments, IGPM Report # 173, June 1999, RWTH Aachen. 35",
  year = "1999",
  url = "citeseer.ist.psu.edu/barinka98adaptive.html" }
Citations (may not include all citations):
1526   Ten Lectures on Wavelets (context) - Daubechies - 1992
1002   Programming Language (context) - Stroustup - 1997
423   Biorthogonal bases of compactly supported wavelets (context) - Cohen, Daubechies et al. - 1992
106   Compression of wavelet decompositions (context) - DeVore, Jawerth et al. - 1992
88   Some a posteriori error estimators for elliptic partial di e.. - Bank, Weiser - 1985
77   Stability of multiscale transformations - Dahmen - 1996
67   Nonlinear approximation - DeVore - 1998
58   Elliptic Boundary Value Problems on Corner Domains (context) - Dauge - 1988
56   Composite wavelet bases for operator equations - Dahmen, Schneider - 1999
48   Stable multiscale bases and local error estimation for ellip.. - Dahlke, Dahmen et al. - 1997
46   Old and new convergence proofs for multigrid methods - Yserentant - 1993
42   Boundary integral operators on Lipschitz domains: Elementary.. (context) - Costabel - 1988
41   Decomposition of Besov spaces (context) - Frazier, Jawerth - 1985
39   A posteriori error estimates for elliptic problems in two an.. - Bornemann, Erdmann et al. - 1996
34   Adaptive wavelet methods for elliptic operator equations | c.. - Cohen, Dahmen et al. - 1998

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