BPKIT is a toolkit of block preconditioners for the iterative solution of linear systems. The most effective general purpose and black-box type of preconditioners are available, including block SSOR, block tridiagonal ILU, and the block extension of point ILU with level-of-fill. Any of these ”global” preconditioners may be coupled with one of a large collection of ”local” preconditioners for approximately or exactly inverting or solving with the diagonal or pivot blocks. These include a number of approximate inverse techniques. By combining a global and local preconditioner, a wide variety of preconditionings are possible, matched to the difficulty and structure of the problem. (Source: http://freecode.com/)

References in zbMATH (referenced in 16 articles , 1 standard article )

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  1. Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.: Teko: a block preconditioning capability with concrete example applications in Navier-Stokes and MHD (2016)
  2. Castillo, P.E.; Sequeira, F.A.: Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions (2013)
  3. Berndt, Markus; Moulton, J.David; Hansen, Glen: Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids (2008)
  4. Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.: An implicit compact scheme solver for two-dimensional multicomponent flows (2007)
  5. Hansen, Glen; Zardecki, Andrew; Greening, Doran; Bos, Randy: A finite element method for three-dimensional unstructured grid smoothing (2005)
  6. Hansen, Glen; Zardecki, Andrew; Greening, Doran; Bos, Randy: A finite element method for unstructured grid smoothing. (2004)
  7. Benzi, Michele: Preconditioning techniques for large linear systems: A survey (2002)
  8. Duff, Iain S.; Heroux, Michael A.; Pozo, Roldan: An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum (2002)
  9. Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav: Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics (2001)
  10. Hysom, David; Pothen, Alex: A scalable parallel algorithm for incomplete factor preconditioning (2001)
  11. Zhang, Jun: A grid-based multilevel incomplete LU factorization preconditioning technique for general sparse matrices (2001)
  12. Chapman, Andrew; Saad, Yousef; Wigton, Larry: High-order ILU preconditioners for CFD problems (2000)
  13. Zhang, Jun: Sparse approximate inverse and multilevel block ILU preconditioning techniques for general sparse matrices (2000)
  14. Saad, Yousef; Zhang, Jun: BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices (1999)
  15. Chow, Edmond; Heroux, Michael A.: An object-oriented framework for block preconditioning (1998)
  16. Chow, Edmond; Saad, Yousef: Approximate inverse techniques for block-partitioned matrices (1997)