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Volume 19, Issue 2-3
The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes

Kiera Kean, Michael Neilan & Michael Schneier

Int. J. Numer. Anal. Mod., 19 (2022), pp. 157-174.

Published online: 2022-04

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  • 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.

  • Keywords

Divergence free finite elements, anisotropic meshes, inf-sup stability.

  • AMS Subject Headings

65N12, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-19-157, author = {Kean , KieraNeilan , 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/}, url = {http://global-sci.org/intro/article_detail/ijnam/20475.html} }
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 -

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.

Kiera Kean, Michael Neilan & Michael Schneier. (2022). The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes. International Journal of Numerical Analysis and Modeling. 19 (2-3). 157-174. doi:
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