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 22 articles , 1 standard article )

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  1. Bollhöfer, Matthias; Schenk, Olaf; Verbosio, Fabio: A high performance level-block approximate LU factorization preconditioner algorithm (2021)
  2. Kraus, Johannes; Lymbery, Maria: Incomplete factorization by local exact factorization (ILUE) (2018)
  3. Gupta, Anshul: Enhancing performance and robustness of ILU preconditioners by blocking and selective transposition (2017)
  4. Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.: Teko: a block preconditioning capability with concrete example applications in Navier-Stokes and MHD (2016)
  5. Verdugo, Francesc; Wall, Wolfgang A.: Unified computational framework for the efficient solution of (n)-field coupled problems with monolithic schemes (2016)
  6. Castillo, P. E.; Sequeira, F. A.: Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions (2013)
  7. Muddle, Richard L.; Boyle, Jonathan W.; Mihajlović, Milan D.; Heil, Matthias: The development of an object-oriented parallel block preconditioning framework (2009)
  8. Berndt, Markus; Moulton, J. David; Hansen, Glen: Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids (2008)
  9. Noskov, Mikhail; Benzi, Michele; Smooke, Mitchell D.: An implicit compact scheme solver for two-dimensional multicomponent flows (2007)
  10. Hansen, Glen; Zardecki, Andrew; Greening, Doran; Bos, Randy: A finite element method for three-dimensional unstructured grid smoothing (2005)
  11. Hansen, Glen; Zardecki, Andrew; Greening, Doran; Bos, Randy: A finite element method for unstructured grid smoothing. (2004)
  12. Benzi, Michele: Preconditioning techniques for large linear systems: A survey (2002)
  13. 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)
  14. Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav: Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics (2001)
  15. Hysom, David; Pothen, Alex: A scalable parallel algorithm for incomplete factor preconditioning (2001)
  16. Zhang, Jun: A grid-based multilevel incomplete LU factorization preconditioning technique for general sparse matrices (2001)
  17. Chapman, Andrew; Saad, Yousef; Wigton, Larry: High-order ILU preconditioners for CFD problems (2000)
  18. Zhang, Jun: Sparse approximate inverse and multilevel block ILU preconditioning techniques for general sparse matrices (2000)
  19. Saad, Yousef; Zhang, Jun: BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices (1999)
  20. Chow, Edmond; Heroux, Michael A.: An object-oriented framework for block preconditioning (1998)

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