ParMETIS is an MPI-based parallel library that implements a variety of algorithms for partitioning unstructured graphs, meshes, and for computing fill-reducing orderings of sparse matrices. ParMETIS extends the functionality provided by METIS and includes routines that are especially suited for parallel AMR computations and large scale numerical simulations. The algorithms implemented in ParMETIS are based on the parallel multilevel k-way graph-partitioning, adaptive repartitioning, and parallel multi-constrained partitioning schemes developed in our lab.

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  1. Badri, M. A.; Rastiello, G.; Foerster, E.: Preconditioning strategies for vectorial finite element linear systems arising from phase-field models for fracture mechanics (2021)
  2. Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas: Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling (2021)
  3. Abhyankar, Shrirang; Betrie, Getnet; Maldonado, Daniel Adrian; Mcinnes, Lois C.; Smith, Barry; Zhang, Hong: PETSc DMNetwork: a library for scalable network PDE-based multiphysics simulations (2020)
  4. Bollhöfer, Matthias; Schenk, Olaf; Janalik, Radim; Hamm, Steve; Gullapalli, Kiran: State-of-the-art sparse direct solvers (2020)
  5. Davis, Timothy A.; Hager, William W.; Kolodziej, Scott P.; Yeralan, S. Nuri: Algorithm 1003: Mongoose, a graph coarsening and partitioning library (2020)
  6. 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)
  7. Kopaničáková, Alena; Krause, Rolf: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020)
  8. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  9. Sander, Oliver: DUNE -- the distributed and unified numerics environment (2020)
  10. Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan: Parallel finite volume computation on general meshes (2020)
  11. Wang, Lai; Gobbert, Matthias K.; Yu, Meilin: A dynamically load-balanced parallel (p)-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation (2020)
  12. Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel: Monolithic overlapping Schwarz domain decomposition methods with GDSW coarse spaces for incompressible fluid flow problems (2019)
  13. Jakob M. Maljaars, Chris N. Richardson, Nathan Sime: LEoPart: a particle library for FEniCS (2019) arXiv
  14. Kumar, Dinesh; Gupta, Jatin; Raha, Soumyendu: Partitioning a reaction-diffusion ecological network for dynamic stability (2019)
  15. Wang, Zhong-Nan; Tyacke, James; Tucker, Paul; Boehning, Peer: Parallel computation of aeroacoustics of industrially relevant complex-geometry aeroengine jets (2019)
  16. Weston, Brian; Nourgaliev, Robert; Delplanque, Jean-Pierre; Barker, Andrew T.: Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics (2019)
  17. Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C.: A domain decomposition non-intrusive reduced order model for turbulent flows (2019)
  18. Xu, Songzhe; Xu, Fei; Kommajosula, Aditya; Hsu, Ming-Chen; Ganapathysubramanian, Baskar: Immersogeometric analysis of moving objects in incompressible flows (2019)
  19. Badia, Santiago; Verdugo, Francesc: Robust and scalable domain decomposition solvers for unfitted finite element methods (2018)
  20. Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R.: BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields (2018)

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