We consider the iterative solution of a class of linear systems with double saddle point structure. Several block preconditioners for Krylov subspace methods are described and analyzed. We derive some bounds for the eigenvalues of preconditioned matrices and present results of numerical experiments using test problems from two different applications: the potential fluid flow problem and the modeling of liquid crystals directors.

Iterative methods for double saddle point systems

Benzi, Michele
2018

Abstract

We consider the iterative solution of a class of linear systems with double saddle point structure. Several block preconditioners for Krylov subspace methods are described and analyzed. We derive some bounds for the eigenvalues of preconditioned matrices and present results of numerical experiments using test problems from two different applications: the potential fluid flow problem and the modeling of liquid crystals directors.
2018
Settore MAT/08 - Analisi Numerica
Finite elements; Krylov methods; Liquid crystals; Potential fluid flow; Preconditioning; Saddle point problems; Analysis
File in questo prodotto:
File Dimensione Formato  
M112122.pdf

accesso aperto

Tipologia: Published version
Licenza: Solo Lettura
Dimensione 394.01 kB
Formato Adobe PDF
394.01 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/75272
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 42
  • ???jsp.display-item.citation.isi??? 40
  • OpenAlex ND
social impact