Iterative methods for general systems (Krylov methods, preconditioning)

• Y.A. Erlangga and C.W. Oosterlee and C. Vuik ( pdf-file, bibtex item)
  A Novel Multigrid Based Preconditioner For Heterogeneous {H}elmholtz Problems
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 04-05
  ISSN 1389-6520
  
  
• C. Vuik and Y.A. Erlangga and C.W. Oosterlee ( pdf-file, bibtex item)
  Shifted Laplace preconditioners for the Helmholtz equations
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 03-18
  ISSN 1389-6520
  
  
• Y.A. Erlangga and C. Vuik and C.W. Oosterlee ( bibtex item)
  On a class of preconditioners for solving the discrete Helmholtz equation
  Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation Held at Jyvaskyla, Finland, 30 June - 4 July, 2003
  editor: G.C. Cohen and E. Heikkola and P. Joly and P. Neittaanmaki Springer, Berlin, 2003, pages 788-793
  ISBN 3-540-40127-X
  
  
• Y.A. Erlangga and C. Vuik and C.W. Oosterlee ( pdf-file, bibtex item)
  On a class of preconditioners for solving the Helmholtz equation
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 03-01
  ISSN 1389-6520
  
  
• F. Vermolen and C. Vuik (pdf-file, bibtex item)
  The influence of deflation vectors at interfaces on the deflated Conjugate Gradient method
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 01-13
  ISSN 1389-6520
  
  
• J. Frank and C. Vuik ( pdf-file, bibtex item)
  On the construction of deflation-based preconditioners
  SIAM Journal on Scientific Computing, 23, pp. 442--462, 2001
  see also CWI Report MAS-R0009
  
  
• C. Vuik, A. Segal, L. El Yaakoubi and E. Dufour (pdf-file, bibtex item)
  A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients
  Delft University of Technology
  Department of Applied Mathematical Analysis
  Report 01-03
  ISSN 1389-6520
  to appear in: Applied Numerical Mathematics
  
  
• C. Vuik and J. Frank ( bibtex item, pdf file)
  Deflated ICCG method applied to problems with extreme contrasts in the coefficients
  In: M. Deville and R. Owens (eds.): Proceedings of the 16th IMACS World Congress 2000. Lausanne, August 2000.
  CDROM ISBN 3-9522075-1-9,
  Rutgers University, New Brunswick, 2000
  
  
• C. Vuik and A. Segal and J.A. Meijerink and J. Frank ( bibtex item)
  Deflated ICCG applied to problems with extreme contrasts in the coefficients
  Sixth Copper Mountain Conference on Iterative Methods, (virtual proceedings)
  Copper Mountain, Colorado, April 2 - April 7, 2000
  editors: T.A. Manteuffel and S.F. McCormick
  
  
• C. Vuik and A. Segal and J.A. Meijerink and G.T. Wijma ( bibtex item)
  The construction of projection vectors for a Deflated ICCG method applied to problems with extreme contrasts in the coefficients
  Shell, 2000
  Shell Report EP2000-8019 ( postscript)
  to appear in: Journal of Computational Physics
  
  
• C. Vuik and A. Segal and J.A. Meijerink (pdf file, bibtex item)
  An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients
  J. Comp. Phys., 152, pp. 385-403, 1999.
  see also TUD Report 98-20.
  
  
• C. Vuik and A. Segal and J.A. Meijerink and G.T. Wijma ( bibtex item)
  The construction of projection vectors for a deflated ICCG method used in problems with a layered structure
  1999 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Industrial Applications, Minneapolis, USA, June 10-12, 1999, pp. 225-231
  editors: Y. Saad and D. Pierce and W.P. Tang
  University of Minnesota Supercomputing Institute, Minneapolis, 1999
  related poster
  
  
• Kees Vuik, Guus Segal and Koos Meijerink,
  An efficient CG method for layered problems with large contrasts in the coefficients
  Fifth Copper Mountain Conference on Iterative Methods, (virtual proceedings)
  Copper Mountain, Colorado, March 30 - April 3, 1998
  editors: T.A. Manteuffel and S.F. McCormick
  
  
• E.F.F. Botta, K. Dekker, Y. Notay, A. van der Ploeg, C. Vuik, F.W. Wubs, P.M. de Zeeuw, ( pdf-file, bibtex item)
  How fast the Laplace equation was solved in 1995
  Appl. Num. Meth., 24, pp. 439-455, 1997.
  see also Report W-9701
  
  
• C. Vuik ( pdf-file, bibtex item)
  New insights in GMRES-like methods with variable preconditioners
  J. Comp. Appl. Math., 61, pp. 189-204, 1995.
  
  
• T. Jongen, X. Costantini, C. Vuik
  BIGMRESR: a combination of a GCR outerloop and a BICGSTAB innerloop
  Faculty of Technical Mathematics and Informatics Delft University of Technology, 1994
  TUD Report 94-62.
  
  
• H.A. van der Vorst, C. Vuik ( pdf-file, bibtex item)
  GMRESR: a family of nested GMRES methods
  Num. Lin. Alg. Appl., 1, pp. 369-386, 1994.
  
  
• C. Vuik
  Further experiences with GMRESR
  Supercomputer, 55, pp. 13-27, 1993.
  
  
• H.A. van der Vorst, C. Vuik
  The superlinear convergence behaviour of GMRES
  J. Comp. Appl. Math., 48, pp. 327-341, 1993.
  
  
• C. Vuik and H.A. van der Vorst ( pdf-file)
  A comparison of some GMRES-like methods
  Linear Alg. Appl., 160, pp.131-162, 1992.
  
  

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