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 541 articles , 2 standard articles )

Showing results 1 to 20 of 541.
Sorted by year (citations)

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  1. Al Daas, Hussam; Jolivet, Pierre; Scott, Jennifer A.: A robust algebraic domain decomposition preconditioner for sparse normal equations (2022)
  2. Aldbaissy, Rim; Hecht, Frédéric; Mansour, Gihane; Sayah, Toni; Henri Tournier, Pierre: Scalable domain decomposition preconditioner for Navier-Stokes equations coupled with the heat equation (2022)
  3. Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique: Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation (2022)
  4. Andreucci, D.; Bersani, A. M.; Bersani, E.; Trujillo, F. J. León; Marconi, S.: A 3D mathematical model of coupled stem cell-nutrient dynamics in myocardial regeneration therapy (2022)
  5. Asmouh, Ilham; El-Amrani, Mofdi; Seaid, Mohammed: Isogeometric semi-Lagrangian analysis for transport problems (2022)
  6. Ausas, Roberto Federico; Gebhardt, Cristian Guillermo; Buscaglia, Gustavo Carlos: A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids (2022)
  7. Balmus, Maximilian; Hoffman, Johan; Massing, André; Nordsletten, David A.: A stabilized multidomain partition of unity approach to solving incompressible viscous flow (2022)
  8. Bugeat, B.; Robinet, J.-Ch.; Chassaing, J.-C.; Sagaut, P.: Low-frequency resolvent analysis of the laminar oblique shock wave/boundary layer interaction (2022)
  9. Castañar, Inocencio; Baiges, Joan; Codina, Ramon; Venghaus, Henning: Topological derivative-based topology optimization of incompressible structures using mixed formulations (2022)
  10. Dalby, James; Farrell, Patrick E.; Majumdar, Apala; Xia, Jingmin: One-dimensional ferronematics in a channel: order reconstruction, bifurcations, and multistability (2022)
  11. Dassi, Franco; Zampini, Stefano; Scacchi, S.: Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form (2022)
  12. Douglas, Christopher M.; Emerson, Benjamin L.; Lieuwen, Timothy C.: Dynamics and bifurcations of laminar annular swirling and non-swirling jets (2022)
  13. Engström, C.; Giani, S.; Grubišić, L.: Higher order composite DG approximations of Gross-Pitaevskii ground state: benchmark results and experiments (2022)
  14. Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre: Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids (2022)
  15. Hessenthaler, Andreas; Falgout, Robert D.; Schroder, Jacob B.; de Vecchi, Adelaide; Nordsletten, David; Röhrle, Oliver: Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time (2022)
  16. Jaramillo, Alfredo; Guiraldello, Rafael T.; Paz, Stevens; Ausas, Roberto F.; Sousa, Fabricio S.; Pereira, Felipe; Buscaglia, Gustavo C.: Towards HPC simulations of billion-cell reservoirs by multiscale mixed methods (2022)
  17. Jin, Bo; Illingworth, Simon J.; Sandberg, Richard D.: Optimal sensor and actuator placement for feedback control of vortex shedding (2022)
  18. Joshaghani, M. S.; Riviere, B.; Sekachev, M.: Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow (2022)
  19. Kaur, Savneet; Athènes, Manuel; Creuze, Jérôme: Absorption kinetics of vacancies by cavities in aluminum: numerical characterization of sink strengths and first-passage statistics through Krylov subspace projection and eigenvalue deflation (2022)
  20. Leng, Wei; Ju, Lili: Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: algorithms and convergence analysis (2022)

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