Name
Title | ||
|---|---|---|
On generalized binomial laws to evaluate finite element accuracy: preliminary probabilistic results for adaptive mesh refinement |
Abstract | ||
|---|---|---|
The aim of this paper is to provide new perspectives on the relative finite elements accuracy. Starting from a geometrical interpretation of the error estimate which can be deduced from Bramble-Hilbert lemma, we derive a probability law that evaluates the relative accuracy, considered as a random variable, between two finite elements P-k and P-m, k < m. We extend this probability law to get a cumulated probabilistic law for two main applications. The first one concerns a family of meshes, the second one is dedicated to a sequence of simplexes constituting a given mesh. Both of these applications could be considered as a first step toward application for adaptive mesh refinement with probabilistic methods. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1515/jnma-2019-0001 | JOURNAL OF NUMERICAL MATHEMATICS |
Keywords | DocType | Volume |
error estimates,probability,finite elements,Bramble-Hilbert lemma,mesh refinement | Journal | 28 |
Issue | ISSN | Citations |
2 | 1570-2820 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joël Chaskalovic | 1 | 5 | 4.25 |
| Franck Assous | 2 | 13 | 9.38 |