A scalable FETI-DP algorithm for a coercive variational inequality
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in 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
IPIC Domain decomposition algorithm for parabolic problems
Applied Mathematics and Computation
A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in 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 for a coercive variational inequality
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Preconditioners for the dual-primal FETI methods on nonmatching grids: Numerical study
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
BDDC by a frontal solver and the stress computation in a hip joint replacement
Mathematics and Computers in Simulation
Computers & Mathematics with Applications
A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
SIAM Journal on Numerical Analysis
A FETI-DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Original article: Face-based selection of corners in 3D substructuring
Mathematics and Computers in Simulation
Original Article: Adaptive BDDC in three dimensions
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
A dual iterative substructuring method with a penalty term in three dimensions
Computers & Mathematics with Applications
An asymptotic solution approach for elliptic equations with discontinuous coefficients
Journal of Computational Physics
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In this paper, certain iterative substructuring methods with Lagrange multipliers are considered for elliptic problems in three dimensions. The algorithms belong to the family of dual-primal finite element tearing and interconnecting (FETI) methods which recently have been introduced and analyzed successfully for elliptic problems in the plane. The family of algorithms for three dimensions is extended and a full analysis is provided for the new algorithms. Particular attention is paid to finding algorithms with a small primal subspace since that subspace represents the only global part of the dual-primal preconditioner. It is shown that the condition numbers of several of the dual-primal FETI methods can be bounded polylogarithmically as a function of the dimension of the individual subregion problems and that the bounds are otherwise independent of the number of subdomains, the mesh size, and jumps in the coefficients. These results closely parallel those of other successful iterative substructuring methods of primal as well as dual type.