Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
We study the optimal approximation of the solution of an operator equation Au=f by linear and nonlinear mappings. We identify those cases where optimal nonlinear approximation is better than optimal linear approximation.
Keywords
Cite
@article{arxiv.math/0606503,
title = {Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II},
author = {Stephan Dahlke and Erich Novak and Winfried Sickel},
journal= {arXiv preprint arXiv:math/0606503},
year = {2025}
}
Comments
Journal of Complexity, to appear. It is a long paper: 69 pages