Abstract
This paper presents two expressions for H3 and H4 semi-norms for the solutions of the Poisson equation in two-dimensional polygonal domains. 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 |
|---|---|
| Pages (from-to) | 629-636 |
| Number of pages | 8 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2016 Dec 1 |
| Externally published | Yes |
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Keywords
- A priori estimates
- Poisson equation
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
Cite this
Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains. / Kinoshita, Takehiko; Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T.
In: Japan Journal of Industrial and Applied Mathematics, Vol. 33, No. 3, 01.12.2016, p. 629-636.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains
AU - Kinoshita, Takehiko
AU - Watanabe, Yoshitaka
AU - Yamamoto, Nobito
AU - Nakao, Mitsuhiro T.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - This paper presents two expressions for H3 and H4 semi-norms for the solutions of the Poisson equation in two-dimensional polygonal domains. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.
AB - This paper presents two expressions for H3 and H4 semi-norms for the solutions of the Poisson equation in two-dimensional polygonal domains. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.
KW - A priori estimates
KW - Poisson equation
UR - http://www.scopus.com/inward/record.url?scp=84992189542&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84992189542&partnerID=8YFLogxK
U2 - 10.1007/s13160-016-0223-y
DO - 10.1007/s13160-016-0223-y
M3 - Article
AN - SCOPUS:84992189542
VL - 33
SP - 629
EP - 636
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
SN - 0916-7005
IS - 3
ER -