Two-level defect-correction stabilized finite element method for Navier–Stokes equations with friction boundary conditions

• Hailong Qiu ^[1] ; Liquan Mei ^[1]
  1. [1] Xi’an Jiaotong University, Xi’an, (China)
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 280, Nº 1 (15 May 2015), 2015, págs. 80-93
• Idioma: inglés
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• Resumen

  • In this paper, we consider a two-level defect-correction stabilized finite element method (DCSFEM) for the incompressible Navier–Stokes equation with friction boundary conditions based on local Gauss integration. The main idea is to combine the two-level strategy with the defect-correction method. Using this technique, the simplified two-level DCSFEM and the Newton two-level DCSFEM are proposed and some error estimates are derived. Finally, the numerical results are displayed to confirm our theoretical findings.