Name
Abstract | ||
|---|---|---|
The aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble- Hilbert lemma, we recall the two probabilistic laws we got in previous works that estimate the relative accuracy, considered as a random variable, between two finite elements P-k and P-m (k < m). Then we analyze the asymptotic relation between these two probabilistic laws when the difference m - k goes to infinity. New insights which qualify the relative accuracy in the case of high order finite elements are also obtained. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1515/cmam-2019-0089 | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS |
Keywords | DocType | Volume |
A Priori Error Estimates, Finite Elements, Bramble-Hilbert Lemma, Probability | Journal | 20 |
Issue | ISSN | Citations |
4 | 1609-4840 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joël Chaskalovic | 1 | 5 | 4.25 |
| Franck Assous | 2 | 13 | 9.38 |