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 438 articles , 2 standard articles )

Showing results 1 to 20 of 438.
Sorted by year (citations)

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  1. Bollhöfer, Matthias; Schenk, Olaf; Verbosio, Fabio: A high performance level-block approximate LU factorization preconditioner algorithm (2021)
  2. Florian Faucher: hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization (2021) not zbMATH
  3. Henneking, Stefan; Grosek, Jacob; Demkowicz, Leszek: Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers (2021)
  4. Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano: KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners (2021)
  5. Kummer, Florian; Weber, Jens; Smuda, Martin: BoSSS: a package for multigrid extended discontinuous Galerkin methods (2021)
  6. Petrides, Socratis; Demkowicz, Leszek: An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics (2021)
  7. Rigas, Georgios; Sipp, Denis; Colonius, Tim: Nonlinear input/output analysis: application to boundary layer transition (2021)
  8. Xing, F.: New optimized Schwarz algorithms for one dimensional Schrödinger equation with general potential (2021)
  9. Zimmerman, Alexander G.; Kowalski, Julia: Mixed finite elements for convection-coupled phase-change in enthalpy form: open software verified and applied to 2D benchmarks (2021)
  10. Abhyankar, Shrirang; Betrie, Getnet; Maldonado, Daniel Adrian; Mcinnes, Lois C.; Smith, Barry; Zhang, Hong: PETSc DMNetwork: a library for scalable network PDE-based multiphysics simulations (2020)
  11. Abide, Stéphane: Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients (2020)
  12. Ahmed, Naveed; John, Volker: An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows (2020)
  13. Alberto Paganini, Florian Wechsung: Fireshape: a shape optimization toolbox for Firedrake (2020) arXiv
  14. Allendes, Alejandro; Naranjo, César; Otárola, Enrique: Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis (2020)
  15. Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.: A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures (2020)
  16. Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo: A new mixed finite element method for the (n)-dimensional Boussinesq problem with temperature-dependent viscosity (2020)
  17. Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David: The deal.II library, version 9.2 (2020)
  18. Arora, Rajat; Zhang, Xiaohan; Acharya, Amit: Finite element approximation of finite deformation dislocation mechanics (2020)
  19. Barucq, Hélène; Faucher, Florian; Fournier, Damien; Gizon, Laurent; Pham, Ha: Efficient and accurate algorithm for the full modal Green’s kernel of the scalar wave equation in helioseismology (2020)
  20. Beams, Natalie N.; Gillman, Adrianna; Hewett, Russell J.: A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems (2020)

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