English

Non conforming vector finite elements for H(curl) intersected with H(div)

Numerical Analysis 2012-06-06 v2 Analysis of PDEs

Abstract

We present a family of nonconforming vector finite elements of arbitrary order for problems posed on the space (curl) intersected with H(div) on a bidimensional domain. This result was first stated as a conjecture by Brenner and Sung. In contrast an extension of the same conjecture to three dimensional domains is disproved.

Keywords

Cite

@article{arxiv.1101.0587,
  title  = {Non conforming vector finite elements for H(curl) intersected with H(div)},
  author = {Jean-Marie Mirebeau},
  journal= {arXiv preprint arXiv:1101.0587},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T17:06:59.663Z