On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems

doi:10.1016/j.cam.2017.05.009

Title: On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems

Full Record
Other Related Research

Authors:

; Benzi, Michele; Chaparpordi, Sayyed–Hasan Azizi

Publication Date:: 2017-12-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1397934

Grant/Contract Number:: ERKJ247

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational and Applied Mathematics

Additional Journal Information:: Journal Name: Journal of Computational and Applied Mathematics Journal Volume: 326 Journal Issue: C; Journal ID: ISSN 0377-0427

Publisher:: Elsevier

Country of Publication:: Belgium

Language:: English

Citation Formats


                    Beik, Fatemeh Panjeh Ali, Benzi, Michele, and Chaparpordi, Sayyed–Hasan Azizi. On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems.  Belgium: N. p., 2017. 
        Web.  doi:10.1016/j.cam.2017.05.009.

Copy to clipboard


                    Beik, Fatemeh Panjeh Ali, Benzi, Michele, & Chaparpordi, Sayyed–Hasan Azizi. On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems.  Belgium.  doi:10.1016/j.cam.2017.05.009.

Copy to clipboard


                    Beik, Fatemeh Panjeh Ali, Benzi, Michele, and Chaparpordi, Sayyed–Hasan Azizi. Fri .  
        "On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems".  Belgium.  doi:10.1016/j.cam.2017.05.009.

Copy to clipboard


                    
@article{osti_1397934,

  title        = {On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems},

  author       = {Beik, Fatemeh Panjeh Ali and Benzi, Michele and Chaparpordi, Sayyed–Hasan Azizi},

  abstractNote = {},

  doi          = {10.1016/j.cam.2017.05.009},

  journal      = {Journal of Computational and Applied Mathematics},

  number       = C,

  volume       = 326,

  place        = {Belgium},

  year         = {2017},

  month        = {12}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
DOI: 10.1016/j.cam.2017.05.009

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 4 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Triangular preconditioners for saddle point problems with a penalty term

Conference Klawonn, A

Triangular preconditioners for a class of saddle point problems with a penalty term are considered. An important example is the mixed formulation of the pure displacement problem in linear elasticity. It is shown that the spectrum of the preconditioned system is contained in a real, positive interval, and that the interval bounds can be made independent of the discretization and penalty parameters. This fact is used to construct bounds of the convergence rate of the GMRES method used with an energy norm. Numerical results are given for GMRES and BI-CGSTAB.
DOI: 10.1137/S1064827596303624

Full Text Available
A low-order block preconditioner for saddle point linear systems

Journal Article Ke, Yi-Fen ; Ma, Chang-Feng - Computational and Applied Mathematics

A preconditioner is proposed for the large and sparse linear saddle point problems, which is based on a low-order three-by-three block saddle point form. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial for the preconditioned matrix are discussed. Numerical results show that the optimal convergence behavior can be achieved when the new preconditioner is used to accelerate the convergence rate of Krylov subspace methods such as GMRES.
DOI: 10.1007/S40314-017-0432-2
A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem

Conference Vassilevski, P S ; Villa, U
Full Text Available
A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem

Journal Article Vassilevski, P S ; Villa, U - Siam Journal on Scientific Computing, vol. 35, no. 5, October 28, 2013, S3-S17
Full Text Available
A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations

Journal Article Ke, Yi-Fen ; Ma, Chang-Feng - Computational and Applied Mathematics

Based on the modified relaxed splitting (MRS) preconditioner proposed by Fan and Zhu (Appl Math Lett 55:18–26, 2016), a new relaxed splitting preconditioner is proposed for the generalized saddle point problems arising from the incompressible Navier–Stokes equations. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix are analyzed. Numerical results show that the proposed preconditioner is superior to the MRS preconditioner when they are used as preconditioners to accelerate the convergence rate of the Krylov subspace methods, such as GMRES.
DOI: 10.1007/S40314-016-0357-1

Similar Records