Publication: Critical functions and inf-sup stability of Crouzeix-Raviart elements
Critical functions and inf-sup stability of Crouzeix-Raviart elements
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Carstensen, C., & Sauter, S. (2022). Critical functions and inf-sup stability of Crouzeix-Raviart elements. Computers & Mathematics with Applications, 108, 12–23. https://doi.org/10.1016/j.camwa.2021.12.010
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In this paper, we prove that Crouzeix-Raviart finite elements of polynomial order , p odd, are inf-sup stable for the Stokes problem on triangulations. For, p even, the stability was proved by Á. Baran and G. Stoyan in 2007 by using the macroelement technique, a dimension formula, the concept of critical points in a triangulation and a representation of the corresponding critical functions. Baran and Stoyan proved that these critical functions belong to the range of the divergence operator applied to Crouzeix-Raviart velocity function
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- Carstensen, C
- Sauter, Stefan
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Carstensen, C., & Sauter, S. (2022). Critical functions and inf-sup stability of Crouzeix-Raviart elements. Computers & Mathematics with Applications, 108, 12–23. https://doi.org/10.1016/j.camwa.2021.12.010
