Firedrake

Firedrake is an automated system for the portable solution of partial differential equations using the finite element method (FEM). Firedrake enables users to employ a wide range of discretisations to an infinite variety of PDEs and employ either conventional CPUs or GPUs to obtain the solution. Firedrake employs the Unifed Form Language (UFL) from the FEniCS Project while the parallel execution of FEM assembly is accomplished by the PyOP2 system. The global mesh data structures, as well as linear and non-linear solvers, are provided by PETSc.


References in zbMATH (referenced in 84 articles , 1 standard article )

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  1. Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S.: Monolithic multigrid methods for magnetohydrodynamics (2021)
  2. 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)
  3. Brugnoli, Andrea; Alazard, Daniel; Pommier-Budinger, Valérie; Matignon, Denis: Port-Hamiltonian flexible multibody dynamics (2021)
  4. Chaudhry, Jehanzeb H.; Olson, Luke N.; Sentz, Peter: A least-squares finite element reduced basis method (2021)
  5. Duan, Mochong; Walkington, Noel J.: Models of bacteria swimming in a nematic liquid crystal (2021)
  6. Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo: Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity (2021)
  7. Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian: A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations (2021)
  8. Graham, I. G.; Pembery, O. R.; Spence, E. A.: Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification (2021)
  9. Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas: Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling (2021)
  10. Hokkanen, Jaro; Kollet, Stefan; Kraus, Jiri; Herten, Andreas; Hrywniak, Markus; Pleiter, Dirk: Leveraging HPC accelerator architectures with modern techniques -- hydrologic modeling on GPUs with ParFlow (2021)
  11. Jackaman, James; Pryer, Tristan: Conservative Galerkin methods for dispersive Hamiltonian problems (2021)
  12. Kamensky, David: Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr (2021)
  13. Keilegavlen, Eirik; Berge, Runar; Fumagalli, Alessio; Starnoni, Michele; Stefansson, Ivar; Varela, Jhabriel; Berre, Inga: PorePy: an open-source software for simulation of multiphysics processes in fractured porous media (2021)
  14. Kirby, Robert C.; Kernell, Tate: Preconditioning mixed finite elements for tide models (2021)
  15. Kirby, Robert C.; Klöckner, Andreas; Sepanski, Ben: Finite elements for Helmholtz equations with a nonlocal boundary condition (2021)
  16. Madden, Niall; Stynes, Martin: A weighted and balanced FEM for singularly perturbed reaction-diffusion problems (2021)
  17. Sebastian Blauth: cashocs: A Computational, Adjoint-Based Shape Optimization and Optimal Control Software (2021) not zbMATH
  18. Tůma, K.; Rezaee-Hajidehi, M.; Hron, J.; Farrell, P. E.; Stupkiewicz, S.: Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations (2021)
  19. Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian: Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals (2021)
  20. 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)

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