Convergence Rates of Adaptive Methods, Besov Spaces, and Multilevel Approximation

Author:

Gantumur Tsogtgerel

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Reference20 articles.

1. Bergh, J. and Löfström, J. (1976). Interpolation spaces. An introduction. Springer- Verlag, Berlin. Grundlehren der Mathematischen Wissenschaften, No. 223.

2. Binev, P., Dahmen, W., and DeVore, R. (2004). Adaptive finite element methods with convergence rates. Numer. Math., 97(2):219–268.

3. Binev, P., Dahmen, W., DeVore, R., and Petrushev, P. (2002). Approximation classes for adaptive methods. Serdica Math. J., 28(4):391–416. Dedicated to the memory of Vassil Popov on the occasion of his 60th birthday.

4. Birman, M. S. and Solomyak, M. Z. (1967). Piecewise polynomial approximations of functions of classes $$W^\alpha _p$$ W p α . Mat. Sb. (N.S.), 73(3):331–355.

5. Bonito, A. and Nochetto, R. H. (2010). Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. SIAM J. Numer. Anal., 48(2):734–771.

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