Adaptive Wavelet Schemes for Nonlinear Variational Problems

  title={Adaptive Wavelet Schemes for Nonlinear Variational Problems},
  author={Albert Cohen and Wolfgang Dahmen and Ronald A. DeVore},
  journal={SIAM J. Numerical Analysis},
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


Publications citing this paper.
Showing 1-10 of 47 extracted citations

Adaptive Optimization of Convex Functionals in Banach Spaces

SIAM J. Numerical Analysis • 2005
View 5 Excerpts
Highly Influenced


Publications referenced by this paper.
Showing 1-10 of 23 references

Numerical Analysis of Wavelet Methods

A. Cohen
Studies in Mathematics and Its Applications 32, North–Holland, Amsterdam • 2003
View 1 Excerpt

Adaptive wavelet methods: Basic concepts and applications to the Stokes problem

W. Dahmen, K. Urban, J. Vorloeper
Wavelet Analysis, D.-X. Zhou, ed., World Scientific, River Edge, NJ • 2002

Fast Evaluation Tools for Adaptive Wavelet Schemes

A. Barinka
Ph.D. Dissertation, Rheinisch Westfälische Technische Hochschule Aachen, Aachen, Germany • 2002
View 2 Excerpts

Similar Papers

Loading similar papers…