English

The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes

Numerical Analysis 2021-10-01 v1 Numerical Analysis

Abstract

This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. Weexplore the behavior of the inf-sup stability constant with respect to the aspect ratio on meshes generated with astandard barycenter mesh refinement strategy, as well as a newly introduced incenter refinement strategy. Numericalexperiments are presented which support the theoretical results

Cite

@article{arxiv.2109.14780,
  title  = {The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes},
  author = {Kiera Kean and Michael Neilan and Michael Schneier},
  journal= {arXiv preprint arXiv:2109.14780},
  year   = {2021}
}
R2 v1 2026-06-24T06:30:03.316Z