TY - JOUR
T1 - The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes
AU - Kean , Kiera
AU - Neilan , Michael
AU - Schneier , Michael
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 157
EP - 174
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20475.html
KW - Divergence free finite elements, anisotropic meshes, inf-sup stability.
AB - <p style="text-align: justify;">This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic
meshes. We explore the behavior of the inf-sup stability constant with respect to the aspect ratio
on meshes generated with a standard barycenter mesh refinement strategy, as well as a newly
introduced incenter refinement strategy. Numerical experiments are presented which support the
theoretical results.</p>