An iterative substructuring method for coupled fluid-solid acoustic problems
Journal of Computational Physics
FETI and FETI-DP Methods for Spectral and Mortar Spectral Elements: A Performance Comparison
Journal of Scientific Computing
An algebraic theory for primal and dual substructuring methods by constraints
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Parallel FETI algorithms for mortars
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface
Journal of Computational and Applied Mathematics
An algebraic theory for primal and dual substructuring methods by constraints
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Parallel FETI algorithms for mortars
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Journal of Computational Physics
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
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A new domain decomposition method with Lagrange multipliers for elliptic problems is introduced. It is based on a reformulation of the well-known finite element tearing and interconnecting (FETI) method as a saddle point problem with both primal and dual variables as unknowns. The resulting linear system is solved with block-structured preconditioners combined with a suitable Krylov subspace method. This approach allows the use of inexact subdomain solvers for the positive definite subproblems. It is shown that the condition number of the preconditioned saddle point problem is bounded independently of the number of subregions and depends only polylogarithmically on the number of degrees of freedom of individual local subproblems. Numerical results are presented for a plane stress cantilever membrane problem.