An algebraic theory for primal and dual substructuring methods by constraints
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
BDDC methods for discontinuous Galerkin discretization of elliptic problems
Journal of Complexity
Multispace and multilevel BDDC
Computing
Boundary element tearing and interconnecting methods in unbounded domains
Applied Numerical 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
BDDC by a frontal solver and the stress computation in a hip joint replacement
Mathematics and Computers in Simulation
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
SIAM Journal on Numerical Analysis
Physics-based character skinning using multi-domain subspace deformations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A FETI-DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Domain decomposition of stochastic PDEs: a novel preconditioner and its parallel performance
HPCS'09 Proceedings of the 23rd international conference on High Performance Computing Systems and Applications
BDDC preconditioners for Naghdi shell problems and MITC9 elements
Computers and Structures
SIAM Journal on Scientific Computing
Journal of Computational Physics
Mathematics and Computers in Simulation
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
Parallel framework for topology optimization using the method of moving asymptotes
Structural and Multidisciplinary Optimization
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
Advances in Engineering Software
A BDDC algorithm for a class of staggered discontinuous Galerkin methods
Computers & Mathematics with Applications
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A preconditioner for substructuring based on constrained energy minimization concepts is presented. The preconditioner is applicable to both structured and unstructured meshes and offers a straightforward approach for the iterative solution of second- and fourth-order structural mechanics problems. The approach involves constraints associated with disjoint sets of nodes on substructure boundaries. These constraints provide the means for preconditioning at both the substructure and global levels. Numerical examples are presented that demonstrate the good performance of the method in terms of iterations, compute time, and condition numbers of the preconditioned equations.