A posteriori analysis of the Chorin-Temam scheme for Stokes equations

作者:Boyaval Sebastien*; Picasso Marco
来源:Comptes Rendus Mathematique, 2013, 351(23-24): 931-936.
DOI:10.1016/j.crma.2013.10.026

摘要

method) for the time discretization of an unstationary Stokes problem in D c Rd (d = 2,3) given t, f,u0; (P) find (u, p) solution to ult. = u0, ujav = 0 and: au ptAu + V p = f, divu = 0 on (0, T) x D. at Inspired by the analyses of the Backward Euler scheme performed by C. Bernardi and R. Verfiirth, we derive a posteriori estimators for the error on Vu in L2(0, T; L2(D))-norm. Our investigation is supported by numerical experiments.

  • 出版日期2013-12
  • 单位INRIA