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. Li, Hao; Kondoh, Tsuguo; Jolivet, Pierre; Furuta, Kozo; Yamada, Takayuki; Zhu, Benliang; Izui, Kazuhiro; Nishiwaki, Shinji: Three-dimensional topology optimization of a fluid-structure system using body-fitted mesh adaption based on the level-set method (2022)
  2. Allen, Jeffery M.; Chang, Justin; Usseglio-Viretta, Francois L. E.; Graf, Peter; Smith, Kandler: A segregated approach for modeling the electrochemistry in the 3-D microstructure of li-ion batteries and its acceleration using block preconditioners (2021)
  3. Anderson, Robert; Andrej, Julian; Barker, Andrew; Bramwell, Jamie; Camier, Jean-Sylvain; Cerveny, Jakub; Dobrev, Veselin; Dudouit, Yohann; Fisher, Aaron; Kolev, Tzanio; Pazner, Will; Stowell, Mark; Tomov, Vladimir; Akkerman, Ido; Dahm, Johann; Medina, David; Zampini, Stefano: MFEM: a modular finite element methods library (2021)
  4. Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo: Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure (2021)
  5. Boris Krasnopolsky, Alexey Medvedev: XAMG: A library for solving linear systems with multiple right-hand side vectors (2021) not zbMATH
  6. Bui, Quan M.; Hamon, François P.; Castelletto, Nicola; Osei-Kuffuor, Daniel; Settgast, Randolph R.; White, Joshua A.: Multigrid reduction preconditioning framework for coupled processes in porous and fractured media (2021)
  7. Büsing, Henrik: Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians (2021)
  8. Croci, Matteo; Giles, Michael; Farrell, Patrick E.: Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling (2021)
  9. D’Ambra, Pasqua; Durastante, Fabio; Filippone, Salvatore: AMG preconditioners for linear solvers towards extreme scale (2021)
  10. El Ouafa, Mohamed; Vincent, Stéphane; Le Chenadec, Vincent: Navier-Stokes solvers for incompressible single- and two-phase flows (2021)
  11. Frigo, Matteo; Castelletto, Nicola; Ferronato, Massimiliano; White, Joshua A.: Efficient solvers for hybridized three-field mixed finite element coupled poromechanics (2021)
  12. Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre: Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form (2021)
  13. Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano: KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners (2021)
  14. Lee, Pilhwa: Electrodiffusion with calcium-activated potassium channels in dendritic spine (2021)
  15. Li, Ruipeng; Sjögreen, Björn; Meier Yang, Ulrike: A new class of AMG interpolation methods based on matrix-matrix multiplications (2021)
  16. Schneider, Teseo; Panozzo, Daniele; Zhou, Xianlian: Isogeometric high order mesh generation (2021)
  17. Su, Guanting; Pan, Tianyu; Zheng, Mengzong; Li, Qiushi: A well-defined grid line-based immersed boundary method for efficient and accurate simulations of incompressible flow (2021)
  18. Świrydowicz, Katarzyna; Langou, Julien; Ananthan, Shreyas; Yang, Ulrike; Thomas, Stephen: Low synchronization Gram-Schmidt and generalized minimal residual algorithms. (2021)
  19. Yao, Yinuo; Criddle, Craig S.; Fringer, Oliver B.: The effects of particle clustering on hindered settling in high-concentration particle suspensions (2021)
  20. Ye, Shuai; An, Hengbin; Xu, Xiaowen; Xu, Xinhai; Yang, Xuejun: A filter in constructing the preconditioner for solving linear equation systems of radiation diffusion problems (2021)

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