METIS

METIS is a set of serial programs for partitioning graphs, partitioning finite element meshes, and producing fill reducing orderings for sparse matrices. The algorithms implemented in METIS are based on the multilevel recursive-bisection, multilevel k-way, and multi-constraint partitioning schemes developed in our lab.

Keywords for this software

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References in zbMATH (referenced in 429 articles )

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  1. Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver: Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach (2020)
  2. Moufawad, Sophie M.: s-step enlarged Krylov subspace conjugate gradient methods (2020)
  3. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  4. Song, Qi; Yang, Ren; Chen, Pu: An improvement to exact reanalysis algorithm for local non-topological structural modifications (2020)
  5. Agullo, Emmanuel; Giraud, Luc; Poirel, Louis: Robust preconditioners via generalized eigenproblems for hybrid sparse linear solvers (2019)
  6. Antonietti, P. F.; Pennesi, G.: (V)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes (2019)
  7. Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.: Vertex-based preconditioners for the coarse problems of BDDC (2019)
  8. El Kacimi, A.; Laghrouche, O.; Mohamed, M. S.; Trevelyan, J.: Bernstein-Bézier based finite elements for efficient solution of short wave problems (2019)
  9. Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine: Machine learning in adaptive domain decomposition methods -- predicting the geometric location of constraints (2019)
  10. Herrmann, Julien; Özkaya, M. Yusuf; Uçar, Bora; Kaya, Kamer; Çatalyürek, ÜMit V.: Multilevel algorithms for acyclic partitioning of directed acyclic graphs (2019)
  11. Hu, Qiya; Hu, Shaoliang: A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions (2019)
  12. Kumar, Dinesh; Gupta, Jatin; Raha, Soumyendu: Partitioning a reaction-diffusion ecological network for dynamic stability (2019)
  13. Liang, Bowen; Nagarajan, Anand; Soghrati, Soheil: Scalable parallel implementation of CISAMR: a non-iterative mesh generation algorithm (2019)
  14. Sadrfaridpour, Ehsan; Razzaghi, Talayeh; Safro, Ilya: Engineering fast multilevel support vector machines (2019)
  15. Sousedík, Bedřich: On adaptive BDDC for the flow in heterogeneous porous media. (2019)
  16. Wang, Zhong-Nan; Tyacke, James; Tucker, Paul; Boehning, Peer: Parallel computation of aeroacoustics of industrially relevant complex-geometry aeroengine jets (2019)
  17. Agreste, Santa; Ricciardello, Angela: An overlapping domain decomposition method for large-scale problems (2018)
  18. Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio: Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods (2018)
  19. Badia, Santiago; Verdugo, Francesc: Robust and scalable domain decomposition solvers for unfitted finite element methods (2018)
  20. Badri, M. A.; Jolivet, P.; Rousseau, B.; Favennec, Y.: High performance computation of radiative transfer equation using the finite element method (2018)

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Further publications can be found at: http://glaros.dtc.umn.edu/gkhome/publications