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 306 articles , 2 standard articles )

Showing results 1 to 20 of 306.
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  1. Amestoy, Patrick R.; L’Excellent, Jean-Yves; Moreau, Gilles: On exploiting sparsity of multiple right-hand sides in sparse direct solvers (2019)
  2. Bollhöfer, Matthias; Eftekhari, Aryan; Scheidegger, Simon; Schenk, Olaf: Large-scale sparse inverse covariance matrix estimation (2019)
  3. Gander, Martin J.; Zhang, Hui: A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods (2019)
  4. Haddad, Mireille; Hecht, Frédéric; Sayah, Toni; Tournier, Pierre Henri: Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase flow by the method of characteristics (2019)
  5. Hardin, Thomas J.: Accelerating coupled finite element-kinetic Monte Carlo models: (200 \times) speedup of shear transformation zone dynamics simulations (2019)
  6. Martin, Richard; Tjiptowidjojo, Kristianto; Ortiz, Weston; Rao, Rekha: Finite element simulations of viscoelastic flow of blade coating using the log-conformation tensor (2019)
  7. Allendes, Alejandro; Otárola, Enrique; Rankin, Richard: A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations (2018)
  8. Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity (2018)
  9. Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The deal.II library, version 9.0 (2018)
  10. Aulisa, Eugenio; Bnà, Simone; Bornia, Giorgio: A monolithic ALE Newton-Krylov solver with multigrid-Richardson-Schwarz preconditioning for incompressible fluid-structure interaction (2018)
  11. Barucq, Hélène; Faucher, Florian; Pham, Ha: Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion (2018)
  12. Baumann, M.; Astudillo, R.; Qiu, Y.; Ang, E. Y. M.; van Gijzen, M. B.; Plessix, R.-É.: An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies (2018)
  13. Bonazzoli, Marcella; Dolean, Victorita; Hecht, Frédéric; Rapetti, Francesca: An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations (2018)
  14. Cots, Olivier; Gergaud, Joseph; Goubinat, Damien: Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft (2018)
  15. Giani, Stefano: (HP)-adaptive \textitcelatusenriched discontinuous Galerkin method for second-order elliptic source problems (2018)
  16. Giani, Stefano: Reliable anisotropic-adaptive discontinuous Galerkin method for simplified (\mathbfP_\mathbfN) approximations of radiative transfer (2018)
  17. Hewitt, Richard E.; Duck, Peter W.: Localised streak solutions for a Blasius boundary layer (2018)
  18. Homsi, Lina; Noels, Ludovic: A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials (2018)
  19. Houston, Paul; Wihler, Thomas P.: An (hp)-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems (2018)
  20. Hück, Alexander; Bischof, Christian; Sagebaum, Max; Gauger, Nicolas R.; Jurgelucks, Benjamin; Larour, Eric; Perez, Gilberto: A usability case study of algorithmic differentiation tools on the ISSM ice sheet model (2018)

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