A preconditioner for generalized saddle-point problems based on the Hermitian and Skew-Hermitian splitting (HSS) is described. The preconditioner is used with GM-RES in the solution of finite element discretizations of the steady-state Oseen (linearized Navier-Stokes) equations. The behavior of the preconditioner with respect to problem parameters like mesh size and viscosity is illustrated by means of a few numerical experi ments.

HSS preconditioning for the oseen problem

Benzi, Michele
2004

Abstract

A preconditioner for generalized saddle-point problems based on the Hermitian and Skew-Hermitian splitting (HSS) is described. The preconditioner is used with GM-RES in the solution of finite element discretizations of the steady-state Oseen (linearized Navier-Stokes) equations. The behavior of the preconditioner with respect to problem parameters like mesh size and viscosity is illustrated by means of a few numerical experi ments.
European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
Iterative methods; Linearized Navier-Stokes equations; Matrix splittings; Preconditioning; Artificial Intelligence; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/75312
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