Probing Methods for Generalized Saddle-Point Problems

Siefert, Chris M.; de Sturler, Eric

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https://hdl.handle.net/2142/10978 Copy

Description

Title

Probing Methods for Generalized Saddle-Point Problems

Author(s)

• Siefert, Chris M.
• de Sturler, Eric

Issue Date

2005-03

Keyword(s)

Numerical Analysis Scientific Computing

Abstract

Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-point problems. We consider probing-based methods for approximating those Schur complements in the preconditioners of the type proposed by [Murphy, Golub and Wathen '00], [de Sturler and Liesen '03] and [Siefert and de Sturler '04]. This approach can be applied in similar preconditioners as well. We discuss the implementation of probing-based approximations to Schur complements. We consider the application of those approximations in preconditioners for Navier-Stokes problems and metal deformation problems. Finally, we present eigenvalue clustering for the preconditioned matrices, and convergence and timing results. These demonstrate the effectiveness of the proposed preconditioners with probing-based approximate Schur complements.

Type of Resource

text

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http://hdl.handle.net/2142/10978

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