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 72 articles , 1 standard article )

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  1. 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)
  2. Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo: Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity (2021)
  3. 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)
  4. Kamensky, David: Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr (2021)
  5. 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)
  6. Kirby, Robert C.; Kernell, Tate: Preconditioning mixed finite elements for tide models (2021)
  7. Sebastian Blauth: cashocs: A Computational, Adjoint-Based Shape Optimization and Optimal Control Software (2021) not zbMATH
  8. 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)
  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. Alberto Paganini, Florian Wechsung: Fireshape: a shape optimization toolbox for Firedrake (2020) arXiv
  12. Bihlo, Alex; Jackaman, James; Valiquette, Francis: On the development of symmetry-preserving finite element schemes for ordinary differential equations (2020)
  13. Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M.: Deflation for semismooth equations (2020)
  14. Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre: Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation (2020)
  15. Farrell, P. E.; Gazca-Orozco, P. A.: An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow (2020)
  16. He, Yunhui; MacLachlan, Scott: Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. (2020)
  17. Kirby, Robert C.; Coogan, Peter: Optimal-order preconditioners for the Morse-Ingard equations (2020)
  18. Matteo Giacomini, Ruben Sevilla, Antonio Huerta: HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB (2020) arXiv
  19. Niewiarowski, Alexander; Adriaenssens, Sigrid; Pauletti, Ruy Marcelo: Adjoint optimization of pressurized membrane structures using automatic differentiation tools (2020)
  20. Reguly, István Z.; Mudalige, Gihan R.: Productivity, performance, and portability for computational fluid dynamics applications (2020)

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