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. Franceschini, Andrea; Ferronato, Massimiliano; Frigo, Matteo; Janna, Carlo: A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics (2022)
  2. Pasquale C. Africa, Roberto Piersanti, Marco Fedele, Luca Dede’, Alfio Quarteroni: lifex - heart module: a high-performance simulator for the cardiac function. Package 1: Fiber generation (2022) arXiv
  3. Ziganurova, L.; Shchur, L.: Algorithm for adaptive mesh redistribution in lattice Boltzmann simulations (2022)
  4. Badri, M. A.; Rastiello, G.; Foerster, E.: Preconditioning strategies for vectorial finite element linear systems arising from phase-field models for fracture mechanics (2021)
  5. Boustani, Jonathan; Barad, Michael F.; Kiris, Cetin C.; Brehm, Christoph: An immersed boundary fluid-structure interaction method for thin, highly compliant shell structures (2021)
  6. Chen, Chao; Liang, Tianyu; Biros, George: \textttrchol: randomized Cholesky factorization for solving SDD linear systems (2021)
  7. Ghoreishi, Ramin; Vermeire, Brian C.: Vorticity-based polynomial adaptation for moving and deforming domains (2021)
  8. 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)
  9. Onyshkevych, Sofiya; Siebenborn, Martin: Mesh quality preserving shape optimization using nonlinear extension operators (2021)
  10. Vermaak, Jan I. C.; Ragusa, Jean C.; Adams, Marvin L.; Morel, Jim E.: Massively parallel transport sweeps on meshes with cyclic dependencies (2021)
  11. 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)
  12. Bollhöfer, Matthias; Schenk, Olaf; Janalik, Radim; Hamm, Steve; Gullapalli, Kiran: State-of-the-art sparse direct solvers (2020)
  13. Davis, Timothy A.; Hager, William W.; Kolodziej, Scott P.; Yeralan, S. Nuri: Algorithm 1003: Mongoose, a graph coarsening and partitioning library (2020)
  14. 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)
  15. Kopaničáková, Alena; Krause, Rolf: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020)
  16. Kwon, Oh-Kyoung; Lee, Jin; Lee, Junghoon; Kang, Ji-Hoon; Choi, Jung-Il: MPI parallel implementation for pseudo-spectral simulations for turbulent channel flow (2020)
  17. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  18. Sander, Oliver: DUNE -- the distributed and unified numerics environment (2020)
  19. Vassilevski, Yuri; Terekhov, Kirill; Nikitin, Kirill; Kapyrin, Ivan: Parallel finite volume computation on general meshes (2020)
  20. 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)

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