J. KSIAM Vol.8, No.2, 23-38, 2004 SUPERCONVERGENCE OF FINITE ELEMENT METHODS FOR LINEAR QUASI-PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

نویسندگان

  • QIAN LI
  • WANFANG SHEN
  • JINFENG JIAN
چکیده

We consider finite element methods applied to a class of quasi parabolic integro-differential equations in R. Global strong superconvergence, which only requires that partitions are quasi-uniform, is investigated for the error between the approximate solution and the Sobolev-Volterra projection of the exact solution. Two order superconvergence results are demonstrated in W (Ω) and Lp(Ω), for 2 ≤ p < ∞.

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تاریخ انتشار 2005