SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
SIAM Journal on Numerical Analysis
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
SIAM Journal on Numerical Analysis
Salinas: a scalable software for high-performance structural and solid mechanics simulations
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
On the Convergence of a Dual-Primal Substructuring Method
On the Convergence of a Dual-Primal Substructuring Method
Time-harmonic elasticity with controllability and higher-order discretization methods
Journal of Computational Physics
A damping preconditioner for time-harmonic wave equations in fluid and elastic material
Journal of Computational Physics
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The FETI-DP domain decomposition method (DDM) is extended to address the iterative solution of a class of indefinite problems of the form (A - σM)x = b, where A and M are two real symmetric positive semidefinite matrices arising from the finite element discretization of second-order elastodynamic problems, and σ is a positive number. A key component of this extension is a new coarse problem based on the free-space solutions of Navier's homogeneous displacement equations of motion. These solutions are waves, and therefore the resulting DDM is reminiscent of the FETI-H method. For this reason, it is named here the FETI-DPH method. For a given σ, this method is numerically shown to be scalable with respect to all of the problem size, subdomain size, and number of subdomains. Its intrinsic CPU performance is illustrated for various ranges of σ with the solution on an Origin 3800 parallel processor of several large-scale structural dynamics problems.