Iterative methods for Navier-Stokes equations (Krylov methods, preconditioning, multigrid)

• M. ur Rehman and T. Geenen and C. Vuik and G. Segal and S.P. MacLachlan (pdf, bibtex)
  On iterative methods for the incompressible Stokes problem
  Int. J. Num. Meth. in Fluids, 65, pp. 1180-1200, 2011


• A. Segal and M. ur Rehman and C. Vuik (pdf, bibtex)
  Preconditioners for Incompressible Navier-Stokes Solvers
  Numerical Mathematics: Theory, Methods and Applications, 3, pp. 245-275, 2010


• M.H. Carpenter and C. Vuik and P. Lucas and M.B. van Gijzen and H. Bijl (pdf, bibtex)
  A General Algorithm for Reusing Krylov Subspace Information. I. Unsteady Navier-Stokes NASA, Langley Research Center, 2010 NASA/TM2010216190
  
  
• M. ur Rehman and C. Vuik and G. Segal (pdf, bibtex)
  Block Preconditioners for the Incompressible Stokes Problem
  In: Large-Scale Scientific Computing Editors: I. Lirkov and S. Margenov and J. Wasniewski Lecture Notes in Computer Science, Vol. 5910 Springer, Berlin, 2010, pp. 829-836


• T. Geenen and M. ur Rehman and S.P. MacLachlan and G. Segal and C. Vuik and A. P. van den Berg and W. Spakman (pdf, bibtex)
  Scalable robust solvers for unstructured FE geodynamic modeling applications: Solving the Stokes equation for models with large localized viscosity contrasts
  Geochemistry Geophysics Geosystems, 10, pp. 1-12, 2009
  
  
• M. ur Rehman and C. Vuik and G. Segal (pdf, bibtex)
  SIMPLE-type preconditioners for the Oseen problem
  Int. J. Num. Meth. in Fluids, 61, pp. 432-452, 2009
  
  
• M. ur Rehman and C. Vuik and G. Segal (pdf, bibtex)
  Preconditioners for the steady incompressible Navier-Stokes problem
  International Journal of Applied Mathematics,38, pp. 223-232, 2008
  
  
• M. ur Rehman and C. Vuik and G. Segal (pdf, bibtex)
  A comparison of preconditioners for incompressible Navier-Stokes solvers
  Int. J. Num. Meth. in Fluids, 57, pp. 1731-1751, 2008
  
  
• M. ur Rehman and C. Vuik and G. Segal, ( pdf , bibtex)
  SIMPLE-type preconditioners for the Oseen problem
  Delft University of Technology
  Delft Institute of Applied Mathematics
  Report 08-09
  
  
• M. ur Rehman and C. Vuik and G. Segal ( pdf, bibtex)
  Solution of the incompressible Navier Stokes equations with preconditioned Krylov subspace methods
  Delft University of Technology
  Delft Institute of Applied Mathematics
  Report 06-05
  ISSN 1389-6520
  
  
• M. ur Rehman and C. Vuik and G. Segal ( pdf, bibtex)
  Study Report of IFISS Package (version 2.1)
  Delft University of Technology
  Delft Institute of Applied Mathematics
  Report 06-06
  ISSN 1389-6520
  
  
• C. Li and C. Vuik ( pdf-file, bibtex item)
  The GCR-SIMPLE solver and the SIMPLE-type preconditioning for incompressible Navier Stokes equations
  Proceedings of the 4th European Congress on Computational Methods in Applied Sciences and Engineering, Volume II, ECCOMAS 2004, Jyvaskyla, Finland, July 24-28, 2004 editor: P. Neittaanmaki and T. Rossi and S. Korotov and E. Onate and J. Periaux and D. Knorzer University of Jyvaskyla, Jyvaskyla, 2004 pages: CD ISBN 951-39-1869-6
  
  
• C. Li and C. Vuik ( pdf-file, bibtex item)
  Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow
  Numerical Linear Algebra with Applications, 11, pp.511-523, 2004
  
  
• Chunguang Li and Kees Vuik ( pdf-file, bibtex item)
  Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 02-15
  ISSN 1389-6520
  
  
• C. Vuik and A. Saghir ( pdf-file, bibtex item)
  The Krylov accelerated SIMPLE(R) method for incompressible flow
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 02-01
  ISSN 1389-6520
  
  
• C. Vuik and J. Frank and A. Segal ( pdf-file, bibtex item)
  A parallel block-preconditioned GCR method for incompressible flow problems
  Future Generation Computer Systems, 18, pp. 31--40, 2001
  
  
• J. van Kan and C. Vuik and P. Wesseling ( pdf-file, bibtex item)
  Fast pressure calculation for 2D and 3D time dependent incompressible flow
  Num. Lin. Alg. with Appl., 7 pp. 429-447, 2000
  
  
• C. Vuik and A. Saghir and G.P. Boerstoel ( pdf-file, bibtex item)
  The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces
  International Journal for Numerical methods in fluids, 33 pp. 1027-1040, 2000
  see also TNO-Report FSP-RPT-990010
  
  
• C. Vuik, J.J.I.M. van Kan and P. Wesseling ( pdf file, bibtex item)
  A black box multigrid preconditioner for second order elliptic partial differential equations
  Proceedings European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000
  editors: E. Oñate, G. Bugeda and B. Suárez
  CIMNE, Barcelona, 2000
  CDROM ISBN 84-89925-70-4
  
  
• C. Vuik (pdf, bibtex item)
  Fast iterative solvers for the discretized incompressible Navier-Stokes equations
  Int. J. for Num. Meth. Fluids, 22, pp. 195-210, 1996.
  
  
• C. Vuik, P. Wesseling and S. Zeng
  Krylov subspace and multigrid methods for the incompressible Navier-Stokes equations
  Seventh Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, April 2-7, 1995
  NASA Conference Publication 3339 pp. 737-753
  editors: N. Duane Melson and T.A. Manteuffel and S.F. McCormick
  NASA, Hampton VA., 1996
  
  
• C. Vuik
  Iterative solution methods for flow problems
  Proceedings of the Second IMACS International Symposium on Iterative Methods in Linear Algebra Blagoevgrad, Bulgaria June 17-20,1995
  Iterative methods in linear algebra II pp. 453--461
  editors: S.D. Margenov and P.S. Vassilevski
  IMACS, Piscataway, 1996
  
  
• Guus Segal, Kees Vuik
  A simple iterative linear solver for the 3D incompressible Navier-Stokes equations discretized by the finite element method
  Faculty of Technical Mathematics and Informatics
  Delft University of Technology,1995
  TUD Report 95-64.
  
  
• C. Vuik, A. Segal
  Solution of the coupled Navier-Stokes equations
  Proceedings of the Eleventh GAMM-Seminar Kiel, January 20-22, 1995
  Numerical treatment of coupled systems pp. 186--197
  editors: W. Hackbusch, G. Wittum
  Vieweg, Braunschweig, 1995
  ISBN 3 528 07651 8
  
  
• S. Zeng, C. Vuik, P. Wesseling ( pdf-file, bibtex item)
  Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods
  Adv. Comp. Math., 4, pp. 27-49, 1995.
  
  
• C. Vuik
  Solution of the discretized incompressible Navier-Stokes equations with the GMRES method
  International Journal Numerical Methods in Fluids, 16, pp.507-523, 1993.
  
  

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