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.File | Size | Format | |
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MSSP_70-71_(1)_2016_664-681.pdf Solo gestori archivio
Description: MSSP_70-71_(1)_2016_664-681
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1.44 MB | Adobe PDF | & nbsp; View / Open Request a copy |
MSSP_hdl_11584_195729.pdf open access
Description: Versione Open Access
Type: versione pre-print
Size 1.07 MB
Format Adobe PDF
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1.07 MB | Adobe PDF | View/Open |
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