The FETI-DP method is a domain decomposition method[1] that enforces equality of the solution at subdomain interfaces by Lagrange multipliers except at subdomain corners, which remain primal variables.
[2] The method was further improved by enforcing the equality of averages across the edges or faces on subdomain interfaces[3][4] which is important for parallel scalability for 3D problems.
[5] FETI-DP methods are very suitable for high performance parallel computing.
A structural simulation using a FETI-DP algorithm and running on 3783 processors of the ASCI White supercomputer was awarded a Gordon Bell prize in 2002.
[6] A recent FETI-DP method has scaled to more than 65000 processor cores of the JUGENE supercomputer solving a model problem.