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Error estimates of a two-grid penalty finite element method for the Smagorinsky model
  • Yun-Bo Yang
Yun-Bo Yang
Yunnan Normal University
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Abstract

In the paper, we consider the penalty finite element methods (FEMs) for the stationary Smagorinsky model. Firstly, a one-grid penalty FEM is proposed and analyzed. Since this method is nonlinear, a novel linearized iteration scheme is derived for solving it. We also derived the stability and convergence of numerical solutions for this iteration scheme. Furthermore, a two-grid penalty FEM is developed for Smagorinsky model. Under $\varepsilon<
19 Jun 2022Submitted to Mathematical Methods in the Applied Sciences
20 Jun 2022Assigned to Editor
20 Jun 2022Submission Checks Completed
28 Jun 2022Reviewer(s) Assigned