p4est: Parallel AMR on Forests of Octrees. The p4est software library enables the dynamic management of a collection of adaptive octrees, conveniently called a forest of octrees. p4est is designed to work in parallel and scale to hundreds of thousands of processor cores. We explain the concepts and algorithms behind p4est in this article.

References in zbMATH (referenced in 25 articles )

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  1. Carsten Burstedde, Jose A. Fonseca, Stefan Kollet: Enhancing speed and scalability of the ParFlow simulation code (2017) arXiv
  2. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  3. Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David: The deal.II library, version 8.4 (2016)
  4. Burstedde, Carsten; Holke, Johannes: A tetrahedral space-filling curve for nonconforming adaptive meshes (2016)
  5. Drui, Florence; Fikl, Alexandru; Kestener, Pierre; Kokh, Samuel; Larat, Adam; Le Chenadec, Vincent; Massot, Marc: Experimenting with the p4est library for AMR simulations of two-phase flows (2016)
  6. Gholami, Amir; Malhotra, Dhairya; Sundar, Hari; Biros, George: FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube (2016)
  7. Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol: A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin (2016)
  8. Mirzadeh, Mohammad; Guittet, Arthur; Burstedde, Carsten; Gibou, Frederic: Parallel level-set methods on adaptive tree-based grids (2016)
  9. Schornbaum, Florian; Rüde, Ulrich: Massively parallel algorithms for the lattice Boltzmann method on nonuniform grids (2016)
  10. Bause, Markus; Köcher, Uwe: Variational time discretization for mixed finite element approximations of nonstationary diffusion problems (2015)
  11. Hatipoglu, Bilal; Ozturan, Can: Parallel triangular mesh refinement by longest edge bisection (2015)
  12. Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar: Recursive algorithms for distributed forests of octrees (2015)
  13. Isaac, Tobin; Stadler, Georg; Ghattas, Omar: Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics (2015)
  14. Krause, Dorian; Dickopf, Thomas; Potse, Mark; Krause, Rolf: Towards a large-scale scalable adaptive heart model using shallow tree meshes (2015)
  15. Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.: Software concepts and numerical algorithms for a scalable adaptive parallel finite element method (2015)
  16. Dickopf, Thomas; Krause, Dorian; Krause, Rolf; Potse, Mark: Design and analysis of a lightweight parallel adaptive scheme for the solution of the monodomain equation (2014)
  17. Michoski, C.; Meyerson, D.; Isaac, T.; Waelbroeck, F.: Discontinuous Galerkin methods for plasma physics in the scrape-off layer of tokamaks (2014)
  18. Scott, M.A.; Thomas, D.C.; Evans, E.J.: Isogeometric spline forests (2014)
  19. Gibou, Frédéric; Min, Chohong; Fedkiw, Ron: High resolution sharp computational methods for elliptic and parabolic problems in complex geometries (2013)
  20. Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J.R.: Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations (2013)

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