Name
Title | ||
|---|---|---|
From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy. |
Abstract | ||
|---|---|---|
The aim of this paper is to provide new perspectives on relative finite element accuracy which is usually based on the asymptotic speed of convergence comparison when the mesh size h goes to zero. Starting from a geometrical reading of the error estimate due to Bramble-Hilbert lemma, we derive two probability distributions that estimate the relative accuracy, considered as a random variable, between two Lagrange finite elements (P_k) and (P_m), ((k u003c m)). We establish mathematical properties of these probabilistic distributions and we get new insights which, among others, show that (P_k) or (P_m) is more likely accurate than the other, depending on the value of the mesh size h. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-030-11539-5_1 | FDM |
Field | DocType | Citations |
Convergence (routing),Random variable,Bramble–Hilbert lemma,Pure mathematics,Finite element method,Probability distribution,Probabilistic logic,Mathematical properties,Mathematics,Lemma (mathematics) | Conference | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joël Chaskalovic | 1 | 5 | 4.25 |
| Franck Assous | 2 | 13 | 9.38 |