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

Leszek Marcinkowski and Talal Rahman

Abstract

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 the preconditioner is quasi optimal.

Received: 2011-05-16
Revised: 2011-07-14
Accepted: 2011-08-27
Published Online: 2012
Published in Print: 2012

© Institute of Mathematics, NAS of Belarus