English

T-coercivity for solving Stokes problem with nonconforming finite elements

Analysis of PDEs 2022-11-03 v1

Abstract

We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity (cf. [1] for Helmholtz-like problems, see [2], [3] and [4] for the neutron diffusion equation). We propose explicit expressions of the stability constants. Finally, we give numerical results illustrating the importance of using divergence-free velocity reconstruction.

Keywords

Cite

@article{arxiv.2211.00984,
  title  = {T-coercivity for solving Stokes problem with nonconforming finite elements},
  author = {Erell Jamelot},
  journal= {arXiv preprint arXiv:2211.00984},
  year   = {2022}
}
R2 v1 2026-06-28T04:59:49.390Z