MUMPS

Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric matrices; Version for complex arithmetic; Parallel factorization and solve phases (uniprocessor version also available); Iterative refinement and backward error analysis; Various matrix input formats assembled format; distributed assembled format; elemental format; Partial factorization and Schur complement matrix (centralized or 2D block-cyclic); Interfaces to MUMPS: Fortran, C, Matlab and Scilab; Several orderings interfaced: AMD, AMF, PORD, METIS, PARMETIS, SCOTCH, PT-SCOTCH.


References in zbMATH (referenced in 35 articles )

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  1. 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)
  2. Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A.: State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control (2016)
  3. Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
  4. Paszyński, Maciej: Fast solvers for mesh-based computations (2016)
  5. Murray, Walter; Tinoco De Rubira, Tomás; Wigington, Adam: A robust and informative method for solving large-scale power flow problems (2015)
  6. Šístek, Jakub; Březina, Jan; Sousedík, Bedřich: BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions. (2015)
  7. Giani, Stefano: An $hp$-adaptive discontinuous Galerkin method for plasmonic waveguides (2014)
  8. Talebi, Hossein; Silani, Mohammad; Bordas, Stéphane P.A.; Kerfriden, Pierre; Rabczuk, Timon: A computational library for multiscale modeling of material failure (2014)
  9. Buttari, Alfredo: Fine-grained multithreading for the multifrontal $QR$ factorization of sparse matrices (2013)
  10. Hogg, Jonathan D.; Scott, Jennifer A.: Pivoting strategies for tough sparse indefinite systems (2013)
  11. Goudon, Thierry; Parisot, Martin: Finite volume schemes on unstructured grids for non-local models: application to the simulation of heat transport in plasmas (2012)
  12. Notay, Yvan: Aggregation-based algebraic multigrid for convection-diffusion equations (2012)
  13. Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M.: A survey on direct solvers for Galerkin methods (2012)
  14. Carracciuolo, L.; Casaburi, D.; D’Amore, L.; D’Avino, G.; Maffettone, P.L.; Murli, A.: Computational simulations of 3D large-scale time-dependent viscoelastic flows in high performance computing environment (2011)
  15. Degond, Pierre; Deluzet, Fabrice; Maldarella, Dario; Narski, Jacek; Negulescu, Claudia; Parisot, Martin: Hybrid model for the coupling of an asymptotic preserving scheme with the asymptotic limit model: the one dimensional case (2011)
  16. Maurer, Daniel; Wieners, Christian: A parallel block \itLU decomposition method for distributed finite element matrices (2011)
  17. Pardo, David; Nam, Myung Jin; Torres-Verdín, Carlos; Hoversten, Michael G.; Garay, Iñaki: Simulation of marine controlled source electromagnetic measurements using a parallel Fourier $hp$-finite element method (2011)
  18. Giraud, L.; Haidar, A.; Pralet, S.: Using multiple levels of parallelism to enhance the performance of domain decomposition solvers (2010)
  19. Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim: A Krylov method for the delay eigenvalue problem (2010)
  20. Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano: BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions (2010)

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