Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data-Reference-Cited by-同舟云学术

Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data

Published:2024-01-23 Issue:2 Volume:98 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Bir Bikram,Goswami Deepjyoti,Pani Amiya K.^ORCID

Funder

DST,India

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10915-023-02445-6.pdf

Reference32 articles.

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2. An, R., Li, Y.: Two-level penalty finite element methods for Navier–Stokes equations with nonlinear slip boundary conditions. Int. J. Numer. Anal. Model. 11(3), 608–623 (2014)

3. An, R., Shi, F.: Two-level iteration penalty methods for the incompressible flows. Appl. Math. Model. 39(2), 630–641 (2015). https://doi.org/10.1016/j.apm.2014.06.014

4. Brefort, B., Ghidaglia, J.M., Temam, R.: Attractors for the penalized Navier–Stokes equations. SIAM J. Math. Anal. 19(1), 1–21 (1988). https://doi.org/10.1137/0519001

5. Courant, R.: Variational methods for the solution of problems of equilibrium and vibrations. Bull. Am. Math. Soc. 49, 1–23 (1943). https://doi.org/10.1090/S0002-9904-1943-07818-4

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