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 277 articles , 2 standard articles )

Showing results 1 to 20 of 277.
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  1. Allendes, Alejandro; Otárola, Enrique; Rankin, Richard: A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations (2018)
  2. Cots, Olivier; Gergaud, Joseph; Goubinat, Damien: Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft (2018)
  3. Giani, Stefano: Reliable anisotropic-adaptive discontinuous Galerkin method for simplified $\mathbfP_\mathbfN$ approximations of radiative transfer (2018)
  4. Homsi, Lina; Noels, Ludovic: A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials (2018)
  5. Houston, Paul; Wihler, Thomas P.: An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems (2018)
  6. Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef: Beyond automated multilevel substructuring: domain decomposition with rational filtering (2018)
  7. Łoś, M.; Schaefer, R.; Paszyński, M.: Parallel space-time $hp$ adaptive discretization scheme for parabolic problems (2018)
  8. Mezzadri, Francesco; Galligani, Emanuele: An inexact Newton method for solving complementarity problems in hydrodynamic lubrication (2018)
  9. 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)
  10. Paganini, Alberto; Wechsung, Florian; Farrell, Patrick E.: Higher-order moving mesh methods for PDE-constrained shape optimization (2018)
  11. Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.: Isogeometric BDDC deluxe preconditioners for linear elasticity (2018)
  12. Picot, Joris; Glockner, Stéphane: Reduction of the discretization stencil of direct forcing immersed boundary methods on rectangular cells: the ghost node shifting method (2018)
  13. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  14. Zepeda-Núñez, Leonardo; Demanet, Laurent: Nested domain decomposition with polarized traces for the 2D Helmholtz equation (2018)
  15. Aboueisha, Hassan; Calo, Victor Manuel; Jopek, Konrad; Moshkov, Mikhail; Paszyńska, Anna; Paszyński, Maciej; Skotniczny, Marcin: Element partition trees for $h$-refined meshes to optimize direct solver performance. I: Dynamic programming (2017)
  16. Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard: Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation (2017)
  17. Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.: Adaptive finite element methods for an optimal control problem involving Dirac measures (2017)
  18. Amestoy, Patrick; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo: On the complexity of the block low-rank multifrontal factorization (2017)
  19. Antoine, X.; Geuzaine, C.: Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations (2017)
  20. Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The deal.II library, version 8.5 (2017)

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Further publications can be found at: http://mumps.enseeiht.fr/index.php?page=doc