ML: Multilevel Preconditioning Package. Welcome to the homepages for ML, Sandia’s main multigrid preconditioning package. ML is designed to solve large sparse linear systems of equations arising primarily from elliptic PDE discretizations. ML is used to define and build multigrid solvers and preconditioners, and it contains black-box classes to construct highly-scalable smoothed aggregation preconditioners. ML preconditioners have been used on thousands of processors for a variety of problems, including the incompressible Navier-Stokes equations with heat and mass transfer, linear and nonlinear elasticity equations, the Maxwell equations, semiconductor equations, and more.

References in zbMATH (referenced in 123 articles )

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  1. Demidov, D.; Rossi, R.: Subdomain deflation combined with local AMG: a case study using AMGCL library (2020)
  2. Farrell, P. E.; Gazca-Orozco, P. A.: An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow (2020)
  3. Fehn, Niklas; Munch, Peter; Wall, Wolfgang A.; Kronbichler, Martin: Hybrid multigrid methods for high-order discontinuous Galerkin discretizations (2020)
  4. Kong, Fande; Wang, Yaqi; Gaston, Derek R.; Permann, Cody J.; Slaughter, Andrew E.; Lindsay, Alexander D.; DeHart, Mark D.; Martineau, Richard C.: A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equation on three-dimensional unstructured meshes (2020)
  5. Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.: A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media (2020)
  6. Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A.: Multi space reduced basis preconditioners for parametrized Stokes equations (2019)
  7. Demidov, D.: AMGCL: an efficient, flexible, and extensible algebraic multigrid implementation (2019)
  8. Farrell, Patrick E.; Mitchell, Lawrence; Wechsung, Florian: An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at High Reynolds number (2019)
  9. Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben: Nonsymmetric reduction-based algebraic multigrid (2019)
  10. Roy, Thomas; Jönsthövel, Tom B.; Lemon, Christopher; Wathen, Andrew J.: A block preconditioner for non-isothermal flow in porous media (2019)
  11. Casquero, Hugo; Zhang, Yongjie Jessica; Bona-Casas, Carles; Dalcin, Lisandro; Gomez, Hector: Non-body-fitted fluid-structure interaction: divergence-conforming B-splines, fully-implicit dynamics, and variational formulation (2018)
  12. Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.: Comparative study of finite element methods using the time-accuracy-size (TAS) spectrum analysis (2018)
  13. Franceschini, Andrea; Paludetto Magri, Victor Antonio; Ferronato, Massimiliano; Janna, Carlo: A robust multilevel approximate inverse preconditioner for symmetric positive definite matrices (2018)
  14. Kronbichler, Martin; Wall, Wolfgang A.: A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers (2018)
  15. Lin, P. T.; Shadid, J. N.; Hu, J. J.; Pawlowski, R. P.; Cyr, E. C.: Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD (2018)
  16. Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio: Multi space reduced basis preconditioners for large-scale parametrized PDEs (2018)
  17. Song, Weiyan; Wubs, Fred; Thies, Jonas; Baars, Sven: Numerical bifurcation analysis of a 3D Turing-type reaction-diffusion model (2018)
  18. Berger-Vergiat, Luc; Waisman, Haim: An overlapping domain decomposition preconditioning method for monolithic solution of shear bands (2017)
  19. Chang, J.; Nakshatrala, K. B.: Variational inequality approach to enforcing the non-negative constraint for advection-diffusion equations (2017)
  20. Côrtes, A. M. A.; Dalcin, L.; Sarmiento, A. F.; Collier, N.; Calo, V. M.: A scalable block-preconditioning strategy for divergence-conforming B-spline discretizations of the Stokes problem (2017)

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