Browsing by Subject "finite element tearing and interconnecting"
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Item On the Equivalence of Primal and Dual Substructuring Preconditioners(Kent State University, 2009-09-30) Sousedik, Bedrich; Mandel, JanAfter a short historical review, we present four popular substructuring methods: FETI-1, BDD, FETIDP, BDDC, and derive the primal versions to the two FETI methods, called P-FETI-1 and P-FETI-DP, as proposed by Fragakis and Papadrakakis. The formulation of the BDDC method shows that it is the same as P-FETI-DP and the same as a preconditioner introduced by Cros. We prove the equality of eigenvalues of a particular case of the FETI-1 method and of the BDD method by applying a recent abstract result by Fragakis.