Superconvergence of H(div) finite element approximations for the Stokes problem by local L2-projection methods

• Rabeea Jari ^[1] ; Lin Mu ^[2]
  1. [1] Thi Qar University

     Thi Qar University

     Irak

     
  2. [2] University of Arkansas at Little Rock

     University of Arkansas at Little Rock

     Township of Big Rock, Estados Unidos

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 278, Nº 1 (15 April 2015), 2015, págs. 278-292
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.10.008
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, a general superconvergence result of H(div) finite element approximations for the Stokes equations is established by using the local L2-projection method. Local regularity assumptions for the Stokes problem on regular partitions are required in order to derive superconvergence conclusions. Several numerical experiments are given to verify the theoretical results.