Wavelet bases in H(div) and H(curl)

@article{Urban2001WaveletBI,
  title={Wavelet bases in H(div) and H(curl)},
  author={Karsten Urban},
  journal={Math. Comput.},
  year={2001},
  volume={70},
  pages={739-766}
}
Some years ago, compactly supported divergence-free wavelets were constructed which also gave rise to a stable (biorthogonal) wavelet splitting of H(div; Ω). These bases have successfully been used both in the analysis and numerical treatment of the Stokes and Navier–Stokes equations. In this paper, we construct stable wavelet bases for the stream function spaces H(curl; Ω). Moreover, curl-free vector wavelets are constructed and analysed. The relationship between H(div; Ω) and H(curl; Ω) are… CONTINUE READING

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