@inproceedings{920ae8866eb545108a40fd04d43a5507,
title = "Maximum norm estimates for energy-corrected finite element method",
abstract = " Nonsmoothness of the boundary of polygonal domains limits the regularity of the solutions of elliptic problems. This leads to the presence of the so-called pollution effect in the finite element approximation, which results in a reduced convergence order of the scheme measured in the L 2 and L ∞ -norms, compared to the best-approximation order. We show that the energy-correction method, which is known to eliminate the pollution effect in the L 2 -norm, yields the same convergence order of the finite element error as the best approximation also in the L ∞ -norm. We confirm the theoretical results with numerical experiments.",
author = "Piotr Swierczynski and Barbara Wohlmuth",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
year = "2019",
doi = "10.1007/978-3-319-96415-7_92",
language = "English",
isbn = "9783319964140",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "973--981",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
}