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 110 articles , 1 standard article )

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  1. 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)
  2. Boullé, Nicolas; Farrell, Patrick E.; Paganini, Alberto: Control of bifurcation structures using shape optimization (2022)
  3. Clare, Mariana C. A.; Wallwork, Joseph G.; Kramer, Stephan C.; Weller, Hilary; Cotter, Colin J.; Piggott, Matthew D.: Multi-scale hydro-morphodynamic modelling using mesh movement methods (2022)
  4. Crum, Justin; Cheng, Cyrus; Ham, David A.; Mitchell, Lawrence; Kirby, Robert C.; Levine, Joshua A.; Gillette, Andrew: Bringing trimmed serendipity methods to computational practice in firedrake (2022)
  5. Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre: Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids (2022)
  6. Joshaghani, M. S.; Riviere, B.; Sekachev, M.: Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow (2022)
  7. Kyas, Svetlana; Volpatto, Diego; Saar, Martin O.; Leal, Allan M. M.: Accelerated reactive transport simulations in heterogeneous porous media using Reaktoro and Firedrake (2022)
  8. Li, Buyang; Qiu, Weifeng; Yang, Zongze: A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density (2022)
  9. Zhang, Hong; Constantinescu, Emil M.; Smith, Barry F.: \textttPETScTSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis (2022)
  10. Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S.: Monolithic multigrid methods for magnetohydrodynamics (2021)
  11. 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)
  12. Betteridge, Jack; Gibson, Thomas H.; Graham, Ivan G.; Müller, Eike H.: Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations (2021)
  13. Blauth, Sebastian; Leithäuser, Christian; Pinnau, René: Optimal control of the Sabatier process in microchannel reactors (2021)
  14. Brugnoli, Andrea; Alazard, Daniel; Pommier-Budinger, Valérie; Matignon, Denis: Port-Hamiltonian flexible multibody dynamics (2021)
  15. Celledoni, Elena; Jackaman, James: Discrete conservation laws for finite element discretisations of multisymplectic PDEs (2021)
  16. Chaudhry, Jehanzeb H.; Olson, Luke N.; Sentz, Peter: A least-squares finite element reduced basis method (2021)
  17. Duan, Mochong; Walkington, Noel J.: Models of bacteria swimming in a nematic liquid crystal (2021)
  18. Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo: Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity (2021)
  19. Farrell, Patrick E.; Kirby, Robert C.; Marchena-Menéndez, Jorge: Irksome: automating Runge-Kutta time-stepping for finite element methods (2021)
  20. Farrell, Patrick E.; Knepley, Matthew G.; Mitchell, Lawrence; Wechsung, Florian: PCPATCH. Software for the topological construction of multigrid relaxation methods (2021)

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