hypre is a software library for the solution of large, sparse linear systems on massively parallel computers. Its emphasis is on modern powerful and scalable preconditioners. hypre provides various conceptual interfaces to enable application users to access the library in the way they naturally think about their problems. This paper presents the conceptual interfaces in hypre. An overview of the preconditioners that are available in hypre is given, including some numerical results that show the efficiency of the library

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  1. Gander, Martin J.; Neumüller, Martin: Analysis of a new space-time parallel multigrid algorithm for parabolic problems (2016)
  2. Kalchev, D.Z.; Lee, C.S.; Villa, U.; Efendiev, Y.; Vassilevski, P.S.: Upscaling of mixed finite element discretization problems by the spectral AMGe method (2016)
  3. Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver: A nonlinear FETI-DP method with an inexact coarse problem (2016)
  4. Lee, Barry: Parallel preconditioners and multigrid solvers for stochastic polynomial chaos discretizations of the diffusion equation at the large scale. (2016)
  5. Liu, Hui; Wang, Kun; Chen, Zhangxin: A family of constrained pressure residual preconditioners for parallel reservoir simulations. (2016)
  6. Hoover, Alexander; Miller, Laura: A numerical study of the benefits of driving jellyfish bells at their natural frequency (2015)
  7. Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver: Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations (2015)
  8. Naumov, M.; Arsaev, M.; Castonguay, P.; Cohen, J.; Demouth, J.; Eaton, J.; Layton, S.; Markovskiy, N.; Reguly, I.; Sakharnykh, N.; Sellappan, V.; Strzodka, R.: AmgX: a library for GPU accelerated algebraic multigrid and preconditioned iterative methods (2015)
  9. Xiao, Yingxiong; Zhou, Zhiyang; Shu, Shi: An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions. (2015)
  10. Zhao, Lian; Zhao, Yonghua; Chi, Xuebin: Sparse matrix-vector multiply algorithm based on overlapping computation and communication and application in AMG (2015)
  11. Fu, Zhisong; Lewis, T.James; Kirby, Robert M.; Whitaker, Ross T.: Architecting the finite element method pipeline for the GPU (2014)
  12. Vassilevski, Panayot S.; Villa, Umberto: A mixed formulation for the Brinkman problem (2014)
  13. Vassilevski, Panayot S.; Yang, Ulrike Meier: Reducing communication in algebraic multigrid using additive variants. (2014)
  14. Beaudoin, A.; De Dreuzy, J.-R.; Erhel, J.; Pichot, G.: Convergence analysis of macro spreading in 3D heterogeneous porous media (2013)
  15. Le Chenadec, Vincent; Pitsch, Heinz: A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows (2013)
  16. Vajente, Gabriele: Fast modal simulation of paraxial optical systems: the MIST open source toolbox (2013)
  17. Vasconcelos, Paulo B.; d’Almeida, Filomena D.; Roman, Jose E.: A Jacobi-Davidson type method with a correction equation tailored for integral operators (2013)
  18. Vassilevski, Panayot S.; Villa, Umberto: A block-diagonal algebraic multigrid preconditioner for the Brinkman problem (2013)
  19. Wang, Lu; Hu, Xiaozhe; Cohen, Jonathan; Xu, Jinchao: A parallel auxiliary grid algebraic multigrid method for graphic processing units (2013)
  20. Bergamaschi, Luca; Martínez, Angeles; Pini, Giorgio: Parallel Rayleigh quotient optimization with FSAI-based preconditioning (2012)

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