@inproceedings{a365e4527e2b408e8457d1b66c0efb69,
title = "H3 and H4 regularities of the poisson equation on polygonal domains",
abstract = "This paper presents two equalities of H3 and H4 semi-norms for the solutions of the Poisson equation in a two-dimensional polygonal domain. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.",
author = "Takehiko Kinoshita and Yoshitaka Watanabe and Nakao, {Mitsuhiro T.}",
note = "Funding Information: This work was supported by the Grant-in-Aid from the Ministry of Education, Culture, Sports, Science and Technology of Japan (Nos. 15H03637, 15K05012) and supported by Program for Leading Graduate Schools “Training Program of Leaders for Integrated Medical System for Fruitful Healthy-Longevity Society.” Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015 ; Conference date: 11-11-2015 Through 13-11-2015",
year = "2016",
doi = "10.1007/978-3-319-32859-1_16",
language = "English",
isbn = "9783319328584",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "199--201",
editor = "Kotsireas, {Ilias S.} and Rump, {Siegfried M.} and Yap, {Chee K.}",
booktitle = "Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers",
address = "Germany",
}