Teko is a package for development and implementation of block preconditioners. This includes support for manipulation and setup of block operators. Furthermore tools exist to support decomposition of a fully coupled operator. Additionally, facilities that allow the construction of approximate inverse operators using the full complement of available preconditioners and solvers are available in Teko. Finally, a small number of generic block preconditioners has been implemented in Teko, including block Jacobi, and block Gauss-Seidel. For the Navier-Stokes equation, Teko has implementations of SIMPLE, PCD and LSC. For details on these methods see Stabilization and Scalable Block Preconditioning for the Navier-Stokes Equations and the references therein

References in zbMATH (referenced in 10 articles , 1 standard article )

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  1. Liu, Ju; Yang, Weiguang; Dong, Melody; Marsden, Alison L.: The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations (2020)
  2. Badia, Santiago; Martín, Alberto F.; Principe, Javier: \textttFEMPAR: an object-oriented parallel finite element framework (2018)
  3. Kirby, Robert C.; Mitchell, Lawrence: Solver composition across the PDE/linear algebra barrier (2018)
  4. Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.: Scalable preconditioners for structure preserving discretizations of Maxwell equations in first order form (2018)
  5. Mota, Alejandro; Tezaur, Irina; Alleman, Coleman: The Schwarz alternating method in solid mechanics (2017)
  6. Robert C. Kirby, Lawrence Mitchell: Solver composition across the PDE/linear algebra barrier (2017) arXiv
  7. Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; MacLachlan, Scott P.; Tuminaro, Raymond S.: Monolithic multigrid methods for two-dimensional resistive magnetohydrodynamics (2016)
  8. Cyr, Eric C.; Shadid, John N.; Tuminaro, Raymond S.: Teko: a block preconditioning capability with concrete example applications in Navier-Stokes and MHD (2016)
  9. Phillips, Edward G.; Shadid, John N.; Cyr, Eric C.; Elman, Howard C.; Pawlowski, Roger P.: Block preconditioners for stable mixed nodal and edge finite element representations of incompressible resistive MHD (2016)
  10. Verdugo, Francesc; Wall, Wolfgang A.: Unified computational framework for the efficient solution of (n)-field coupled problems with monolithic schemes (2016)