A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations

نویسندگان

  • Leszek Marcinkowski
  • Talal Rahman
چکیده

This paper is concerned with the construction and analysis of a parallel preconditioner for a FETI-DP system of equations arising from the nonconforming Crouzeix-Raviart finite element discretization of a model elliptic problem of second order with discontinuous coefficients. We show that the condition number of the preconditioned problem is independent of the coefficient jumps, and grows only as (1 + log(H/h), where H and h are mesh parameters, in other words the preconditioner is quasi optimal. 2000 Mathematics Subject Classification: 65N55, 65N30, 65F08.

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عنوان ژورنال:
  • Comput. Meth. in Appl. Math.

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2012