An ANSI C code for sparse LU factorization is presented that combines a column pre-ordering strategy with a right-looking unsymmetric-pattern multifrontal numerical factorization. The pre-ordering and symbolic analysis phase computes an upper bound on fill-in, work, and memory usage during the subsequent numerical factorization. User-callable routines are provided for ordering and analyzing a sparse matrix, computing the numerical factorization, solving a system with the LU factors, transposing and permuting a sparse matrix, and converting between sparse matrix representations.\parThe simple user interface shields the user from the details of the complex sparse factorization data structures by returning simple handles to opaque objects. Additional user-callable routines are provided for printing and extracting the contents of these opaque objects. An even simpler way to use the package is through its MATLAB interface. UMFPACK is incorporated as a built-in operator in MATLAB 6.5 as $x= A^{-1} {\bold b}$ when $A$ is sparse and unsymmetric. (Source:

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  1. Achdou, Yves; Laurière, Mathieu; Lions, Pierre-Louis: Optimal control of conditioned processes with feedback controls (2021)
  2. Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna: Preconditioning techniques for the numerical solution of flow in fractured porous media (2021)
  3. Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver: The \textscDuneframework: basic concepts and recent developments (2021)
  4. Bollhöfer, Matthias; Schenk, Olaf; Verbosio, Fabio: A high performance level-block approximate LU factorization preconditioner algorithm (2021)
  5. Dastour, Hatef; Liao, Wenyuan: An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition (2021)
  6. Jayasinghe, Savithru; Darmofal, David L.; Allmaras, Steven R.; Dow, Eric; Galbraith, Marshall C.: Upwinding and artificial viscosity for robust discontinuous Galerkin schemes of two-phase flow in mass conservation form (2021)
  7. Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano: KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners (2021)
  8. Koch, Timo; Gläser, Dennis; Weishaupt, Kilian; Ackermann, Sina; Beck, Martin; Becker, Beatrix; Burbulla, Samuel; Class, Holger; Coltman, Edward; Emmert, Simon; Fetzer, Thomas; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid; Scherrer, Samuel; Schneider, Martin; Seitz, Gabriele; Stadler, Leopold; Utz, Martin; Weinhardt, Felix; Flemisch, Bernd: DuMu(^\textx 3) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling (2021)
  9. Liu, Jie; Möller, Matthias; Schuttelaars, Henk M.: Balancing truncation and round-off errors in FEM: one-dimensional analysis (2021)
  10. Manimaran, J.; Shangerganesh, L.; Debbouche, Amar: Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy (2021)
  11. Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T.: Robust preconditioners for a new stabilized discretization of the poroelastic equations (2020)
  12. 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)
  13. Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sánchez, Nestor: A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations (2020)
  14. Colmenares, Eligio; Gatica, Gabriel N.; Moraga, Sebastián: A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem (2020)
  15. de Carvalho, Pitágoras P.; Fernández-Cara, Enrique: Numerical Stackelberg-Nash control for the heat equation (2020)
  16. Diwan, Ganesh C.; Mohamed, M. Shadi: Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies (2020)
  17. Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W.: Multigoal-oriented optimal control problems with nonlinear PDE constraints (2020)
  18. Endtmayer, B.; Langer, U.; Wick, T.: Two-side a posteriori error estimates for the dual-weighted residual method (2020)
  19. Evgrafov, Anton; Bellido, José C.: Nonlocal control in the conduction coefficients: well-posedness and convergence to the local limit (2020)
  20. Failer, L.; Richter, T.: A parallel Newton multigrid framework for monolithic fluid-structure interactions (2020)

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