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 43 articles )

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  1. Kahle, Christian: An $L^\infty$ bound for the Cahn-Hilliard equation with relaxed non-smooth free energy (2017)
  2. Li, Ang; Serban, Radu; Negrut, Dan: Analysis of a splitting approach for the parallel solution of linear systems on GPU cards (2017)
  3. Wan, Wei; Biegler, Lorenz T.: Structured regularization for barrier NLP solvers (2017)
  4. Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David: The deal.II library, version 8.4 (2016)
  5. Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A.: State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control (2016)
  6. Hapla, Vaclav; Horak, David; Pospisil, Lukas; Cermak, Martin; Vasatova, Alena; Sojka, Radim: Solving contact mechanics problems with PERMON (2016)
  7. Hogg, Jonathan D.; Ovtchinnikov, Evgueni; Scott, Jennifer A.: A sparse symmetric indefinite direct solver for GPU architectures (2016)
  8. Paszyński, Maciej: Fast solvers for mesh-based computations (2016)
  9. Murray, Walter; Tinoco De Rubira, Tomás; Wigington, Adam: A robust and informative method for solving large-scale power flow problems (2015)
  10. Notay, Yvan; Napov, Artem: A massively parallel solver for discrete Poisson-like problems (2015)
  11. Šístek, Jakub; Březina, Jan; Sousedík, Bedřich: BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions. (2015)
  12. Giani, Stefano: An $hp$-adaptive discontinuous Galerkin method for plasmonic waveguides (2014)
  13. Suzuki, A.; Roux, F.-X.: A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers (2014)
  14. Talebi, Hossein; Silani, Mohammad; Bordas, Stéphane P.A.; Kerfriden, Pierre; Rabczuk, Timon: A computational library for multiscale modeling of material failure (2014)
  15. Buttari, Alfredo: Fine-grained multithreading for the multifrontal $QR$ factorization of sparse matrices (2013)
  16. Hogg, Jonathan D.; Scott, Jennifer A.: Pivoting strategies for tough sparse indefinite systems (2013)
  17. Goudon, Thierry; Parisot, Martin: Finite volume schemes on unstructured grids for non-local models: application to the simulation of heat transport in plasmas (2012)
  18. Notay, Yvan: Aggregation-based algebraic multigrid for convection-diffusion equations (2012)
  19. Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M.: A survey on direct solvers for Galerkin methods (2012)
  20. Carracciuolo, L.; Casaburi, D.; D’Amore, L.; D’Avino, G.; Maffettone, P.L.; Murli, A.: Computational simulations of 3D large-scale time-dependent viscoelastic flows in high performance computing environment (2011)

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