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.
|Number of pages||8|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - 2016 Dec 1|
- A priori estimates
- Poisson equation
ASJC Scopus subject areas
- Applied Mathematics