Pressure robust finite element discretizations of the nonlinear Stokes equations

Diening L, Hirn A, Kreuzer C, Zanotti P (2025)
arXiv:2501.15954.

Preprint | Englisch
 
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Autor*in
Diening, LarsUniBi ; Hirn, Adrian; Kreuzer, Christian; Zanotti, Pietro
Abstract / Bemerkung
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with $(r,\epsilon)$-structure. Thereby the velocity-errors are independent of the pressure-error; i.e., the method is pressure robust. This improves suboptimal rates previously experienced for non pressure robust methods.
Erscheinungsjahr
2025
Zeitschriftentitel
arXiv:2501.15954
Page URI
https://pub.uni-bielefeld.de/record/3000392

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Diening L, Hirn A, Kreuzer C, Zanotti P. Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954. 2025.
Diening, L., Hirn, A., Kreuzer, C., & Zanotti, P. (2025). Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954
Diening, Lars, Hirn, Adrian, Kreuzer, Christian, and Zanotti, Pietro. 2025. “Pressure robust finite element discretizations of the nonlinear Stokes equations”. arXiv:2501.15954.
Diening, L., Hirn, A., Kreuzer, C., and Zanotti, P. (2025). Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954.
Diening, L., et al., 2025. Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954.
L. Diening, et al., “Pressure robust finite element discretizations of the nonlinear Stokes equations”, arXiv:2501.15954, 2025.
Diening, L., Hirn, A., Kreuzer, C., Zanotti, P.: Pressure robust finite element discretizations of the nonlinear Stokes equations. arXiv:2501.15954. (2025).
Diening, Lars, Hirn, Adrian, Kreuzer, Christian, and Zanotti, Pietro. “Pressure robust finite element discretizations of the nonlinear Stokes equations”. arXiv:2501.15954 (2025).
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