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 391 articles , 2 standard articles )

Showing results 1 to 20 of 391.
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  1. Abide, Stéphane: Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients (2020)
  2. Ahmed, Naveed; John, Volker: An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows (2020)
  3. Allendes, Alejandro; Naranjo, César; Otárola, Enrique: Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis (2020)
  4. Brewster, Jack; Juniper, Matthew P.: Shape sensitivity of eigenvalues in hydrodynamic stability, with physical interpretation for the flow around a cylinder (2020)
  5. Davis, Timothy A.; Duff, Iain S.; Nakov, Stojce: Design and implementation of a parallel Markowitz threshold algorithm (2020)
  6. Galvis, Andres F.; Santos-Flórez, Pedro A.; Sollero, Paulo; de Koning, Maurice; Wrobel, Luiz C.: Multiscale model of the role of grain boundary structures in the dynamic intergranular failure of polycrystal aggregates (2020)
  7. Ghalambaz, Mohammad; Hashem Zadeh, Seyed Mohsen; Mehryan, S. A. M.; Pop, Ioan; Wen, Dongsheng: Analysis of melting behavior of PCMs in a cavity subject to a non-uniform magnetic field using a moving grid technique (2020)
  8. Gleixner, Ambros; Maher, Stephen J.; Müller, Benjamin; Pedroso, João Pedro: Price-and-verify: a new algorithm for recursive circle packing using Dantzig-Wolfe decomposition (2020)
  9. Hessenthaler, Andreas; Balmus, Maximilian; Röhrle, Oliver; Nordsletten, David: A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms (2020)
  10. Liu, Xiao; Xia, Jianlin; de Hoop, Maarten: Fast factorization update for general elliptic equations under multiple coefficient updates (2020)
  11. Müller, Benjamin; Serrano, Felipe; Gleixner, Ambros: Using two-dimensional projections for stronger separation and propagation of bilinear terms (2020)
  12. Parasyris, Antonios; Discacciati, Marco; Das, Diganta B.: Mathematical and numerical modelling of a circular cross-flow filtration module (2020)
  13. Agullo, Emmanuel; Giraud, Luc; Poirel, Louis: Robust preconditioners via generalized eigenproblems for hybrid sparse linear solvers (2019)
  14. Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel: An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations (2019)
  15. Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.: A posteriori error estimates for the Stokes problem with singular sources (2019)
  16. Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo: A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity (2019)
  17. Amestoy, Patrick R.; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo A.: Bridging the gap between flat and hierarchical low-rank matrix formats: the multilevel block low-rank format (2019)
  18. Amestoy, Patrick R.; de la Kethulle de Ryhove, Sébastien; L’Excellent, Jean-Yves; Moreau, Gilles; Shantsev, Daniil V.: Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems (2019)
  19. Amestoy, Patrick R.; L’Excellent, Jean-Yves; Moreau, Gilles: On exploiting sparsity of multiple right-hand sides in sparse direct solvers (2019)
  20. Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The deal.II library, Version 9.1 (2019)

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