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 |
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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 |
Keywords
- A priori estimates
- Poisson equation
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics