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  1. Sep 05, 2016
    • Henry Weller's avatar
      Updated header · bebab241
      Henry Weller authored
      bebab241
    • Henry Weller's avatar
      PBiCGStab: New preconditioned bi-conjugate gradient stabilized solver for asymmetric lduMatrices · c339d301
      Henry Weller authored
      using a run-time selectable preconditioner
      
      References:
          Van der Vorst, H. A. (1992).
          Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG
          for the solution of nonsymmetric linear systems.
          SIAM Journal on scientific and Statistical Computing, 13(2), 631-644.
      
          Barrett, R., Berry, M. W., Chan, T. F., Demmel, J., Donato, J.,
          Dongarra, J., Eijkhout, V., Pozo, R., Romine, C. & Van der Vorst, H.
          (1994).
          Templates for the solution of linear systems:
          building blocks for iterative methods
          (Vol. 43). Siam.
      
      See also: https://en.wikipedia.org/wiki/Biconjugate_gradient_stabilized_method
      
      Tests have shown that PBiCGStab with the DILU preconditioner is more
      robust, reliable and shows faster convergence (~2x) than PBiCG with
      DILU, in particular in parallel where PBiCG occasionally diverges.
      
      This remarkable improvement over PBiCG prompted the update of all
      tutorial cases currently using PBiCG to use PBiCGStab instead.  If any
      issues arise with this update please report on Mantis: http://bugs.openfoam.org
      c339d301
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