H3 and H4 regularities of the poisson equation on polygonal domains

Takehiko Kinoshita; Yoshitaka Watanabe; Mitsuhiro T. Nakao

doi:10.1007/978-3-319-32859-1_16

H³ and H⁴ regularities of the poisson equation on polygonal domains

Takehiko Kinoshita, Yoshitaka Watanabe^*, Mitsuhiro T. Nakao

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers
Publisher	Springer Verlag
Pages	199-201
Number of pages	3
Volume	9582
ISBN (Print)	9783319328584
DOIs	https://doi.org/10.1007/978-3-319-32859-1_16
Publication status	Published - 2016
Externally published	Yes
Event	6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015 - Berlin, Germany Duration: 2015 Nov 11 → 2015 Nov 13

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9582
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015
Country/Territory	Germany
City	Berlin
Period	15/11/11 → 15/11/13

Keywords

A priori estimates
Poisson equation

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-319-32859-1_16

Cite this

Kinoshita, T., Watanabe, Y., & Nakao, M. T. (2016). H³ and H⁴ regularities of the poisson equation on polygonal domains. In Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers (Vol. 9582, pp. 199-201). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9582). Springer Verlag. https://doi.org/10.1007/978-3-319-32859-1_16

H³ and H⁴ regularities of the poisson equation on polygonal domains. / Kinoshita, Takehiko; Watanabe, Yoshitaka; Nakao, Mitsuhiro T.

Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. Vol. 9582 Springer Verlag, 2016. p. 199-201 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9582).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kinoshita, T, Watanabe, Y & Nakao, MT 2016, H³ and H⁴ regularities of the poisson equation on polygonal domains. in Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. vol. 9582, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9582, Springer Verlag, pp. 199-201, 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, Berlin, Germany, 15/11/11. https://doi.org/10.1007/978-3-319-32859-1_16

Kinoshita T, Watanabe Y, Nakao MT. H³ and H⁴ regularities of the poisson equation on polygonal domains. In Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. Vol. 9582. Springer Verlag. 2016. p. 199-201. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-32859-1_16

Kinoshita, Takehiko ; Watanabe, Yoshitaka ; Nakao, Mitsuhiro T. / H³ and H⁴ regularities of the poisson equation on polygonal domains. Mathematical Aspects of Computer and Information Sciences - 6th International Conference, MACIS 2015, Revised Selected Papers. Vol. 9582 Springer Verlag, 2016. pp. 199-201 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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