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.

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References in zbMATH (referenced in 375 articles )

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  1. Badri, M. A.; Jolivet, P.; Rousseau, B.; Favennec, Y.: High performance computation of radiative transfer equation using the finite element method (2018)
  2. Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita: Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations (2018)
  3. Hager, William W.; Hungerford, James T.; Safro, Ilya: A multilevel bilinear programming algorithm for the vertex separator problem (2018)
  4. 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)
  5. Yang, Wangdong; Li, Kenli; Li, Keqin: A parallel computing method using blocked format with optimal partitioning for SpMV on GPU (2018)
  6. Amestoy, Patrick; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo: On the complexity of the block low-rank multifrontal factorization (2017)
  7. Bank, Randolph E.; Deotte, Chris: The influence of partitioning on domain decomposition convergence rates (2017)
  8. Bosma, Sebastian; Hajibeygi, Hadi; Tene, Matei; Tchelepi, Hamdi A.: Multiscale finite volume method for discrete fracture modeling on unstructured grids (MS-DFM) (2017)
  9. Botti, L.; Colombo, A.; Bassi, F.: $h$-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems (2017)
  10. Capodaglio, Giacomo; Aulisa, Eugenio: A particle tracking algorithm for parallel finite element applications (2017)
  11. Carsten Burstedde, Jose A. Fonseca, Stefan Kollet: Enhancing speed and scalability of the ParFlow simulation code (2017) arXiv
  12. Cerdán, J.; Marín, J.; Mas, J.: A two-level ILU preconditioner for electromagnetic applications (2017)
  13. Dohrmann, Clark R.; Widlund, Olof B.: On the design of small coarse spaces for domain decomposition algorithms (2017)
  14. Fernandez, P.; Nguyen, N. C.; Peraire, J.: The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows (2017)
  15. Fu, Lin; Litvinov, Sergej; Hu, Xiangyu Y.; Adams, Nikolaus A.: A novel partitioning method for block-structured adaptive meshes (2017)
  16. Ghale, Purnima; Kroonblawd, Matthew P.; Mniszewski, Sue; Negre, Christian F. A.; Pavel, Robert; Pino, Sergio; Sardeshmukh, Vivek; Shi, Guangjie; Hahn, Georg: Task-based parallel computation of the density matrix in quantum-based molecular dynamics using graph partitioning (2017)
  17. Haddar, Houssem; Jiang, Zixian; Riahi, Mohamed Kamel: A robust inversion method for quantitative 3D shape reconstruction from coaxial eddy current measurements (2017)
  18. Joshi, V.; Jaiman, R. K.: A variationally bounded scheme for delayed detached eddy simulation: application to vortex-induced vibration of offshore riser (2017)
  19. Kim, Hyea Hyun; Chung, Eric; Wang, Junxian: BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients (2017)
  20. Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan: An efficient finite element method for simulation of droplet spreading on a topologically rough surface (2017)

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