Adaptive Wavelet Schemes for Nonlinear Variational Problems

@article{Cohen2003AdaptiveWS,
  title={Adaptive Wavelet Schemes for Nonlinear Variational Problems},
  author={Albert Cohen and Wolfgang Dahmen and Ronald A. DeVore},
  journal={SIAM J. Numerical Analysis},
  year={2003},
  volume={41},
  pages={1785-1823}
}
We develop and analyze wavelet based adaptive schemes for nonlinear variational problems. We derive estimates for convergence rates and corresponding work counts that turn out to be asymptotically optimal. Our approach is based on a new paradigm that has been put forward recently for a class of linear problems. The original problem is transformed first into an equivalent one which is well posed in the Euclidean metric 2. Then conceptually one seeks iteration schemes for the infinite dimensional… CONTINUE READING

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