English

Stability and interpolation properties for Stokes-like virtual element spaces

Numerical Analysis 2022-12-07 v2 Numerical Analysis

Abstract

We prove stability bounds for Stokes-like virtual element spaces in two and three dimensions. Such bounds are also instrumental in deriving optimal interpolation estimates. Furthermore, we develop some numerical tests in order to investigate the behaviour of the stability constants also from the practical side.

Keywords

Cite

@article{arxiv.2207.09844,
  title  = {Stability and interpolation properties for Stokes-like virtual element spaces},
  author = {L. Beirão da Veiga and L. Mascotto and J. Meng},
  journal= {arXiv preprint arXiv:2207.09844},
  year   = {2022}
}
R2 v1 2026-06-25T01:04:46.652Z