The dual counterpart to BDD is FETI, which enforces the equality of the solution between the subdomain by Lagrange multipliers.
Farhat led the development of the Finite Element Tearing and Interconnecting (FETI) method for the scalable solution of large-scale systems of equations on massively parallel processors.
FETI-DP is a simplification and a better performing version of FETI.
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The eigenvalues of FETI-DP are same as those of BDDC, except for the eigenvalue equal to one, and so the performance of FETI-DP and BDDC is essentially same.
FETI |
In dual methods, such as FETI, the continuity of the solution across the subdomain interface is enforced by Lagrange multipliers.