Adaptive least-squares finite element approximations to Stokes equations

• Hsueh-Chen Lee ^[1] ; Tsu-Fen Chen ^[2]
  1. [1] Wenzao Ursuline University of Languages

     Wenzao Ursuline University of Languages

     Taiwán

     
  2. [2] National Chung Cheng University

     National Chung Cheng University

     W. District, Taiwán

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 280, Nº 1 (15 May 2015), 2015, págs. 396-412
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.11.041
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper is concerned with adaptive least-squares methods for Stokes equations based on velocity–pressure–stress and velocity–vorticity–pressure formulations. To capture the Stokes flow region, an adaptive algorithm based on mesh redistribution is developed for a nonlinear weighted least-squares functional. A redistribution approach is considered to generate the optimal grids. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems. Numerical results of model problems illustrating the efficiency of the proposed scheme are presented.