Fully Discrete Multiscale Galerkin BEM

@inproceedings{Petersdor1997FullyDM,
  title={Fully Discrete Multiscale Galerkin BEM},
  author={Tobias von Petersdor},
  year={1997}
}
  • Tobias von Petersdor
  • Published 1997
We analyze multiscale Galerkin methods for strongly el-liptic boundary integral equations of order zero on closed surfaces in lR 3. Piecewise polynomial, discontinuous multiwavelet bases of any polynomial degree are constructed explicitly. We show that optimal convergence rates in the boundary energy norm and in certain negative norms can be achieved with \compressed" stiiness matrices containing O(N (log N) 2) nonvanishing entries where N denotes the number of degrees of freedom on the… CONTINUE READING
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