@Article{IJNAM-19-2-3, author = {Kiera, Kean and Neilan, Michael and Schneier, Michael}, title = {The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2022}, volume = {19}, number = {2-3}, pages = {157--174}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2022-IJNAM-20475}, url = {https://global-sci.com/article/82929/the-scott-vogelius-method-for-the-stokes-problem-on-anisotropic-meshes} }