Multiple-input, multiple-output models for coupled systems in structural dynamics including unbounded domains, like soil or fluid, are characterized by sparse system-matrices and unstable parts in the whole set of solutions due to spurious modes. Spectral shifting with deflation can stabilize these unstable parts; however the originally sparse system-matrices become fully populated when this procedure is applied. This paper presents a special consecutive treatment of the deflated system without losing the numerical advantages from sparsity. The procedure starts with an LU-decomposition of the sparse undeflated system and continues with restricting the solution space with respect to deflation using the same LU-decomposition. An example from soil-structure interaction shows the benefits of this consecutive treatment.

Stabilization by deflation for sparse dynamical systems without loss of sparsity

CAZZANI, ANTONIO MARIA;
2016-01-01

Abstract

Multiple-input, multiple-output models for coupled systems in structural dynamics including unbounded domains, like soil or fluid, are characterized by sparse system-matrices and unstable parts in the whole set of solutions due to spurious modes. Spectral shifting with deflation can stabilize these unstable parts; however the originally sparse system-matrices become fully populated when this procedure is applied. This paper presents a special consecutive treatment of the deflated system without losing the numerical advantages from sparsity. The procedure starts with an LU-decomposition of the sparse undeflated system and continues with restricting the solution space with respect to deflation using the same LU-decomposition. An example from soil-structure interaction shows the benefits of this consecutive treatment.
2016
Deflation; Sparse systems; Spurious modes; Stabilization; Unbounded domains; Mechanical Engineering; Civil and Structural Engineering; Aerospace Engineering; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Signal Processing
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/195729
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