The FEniCS Project is a collaborative project for the development of innovative concepts and tools for automated scientific computing, with a particular focus on automated solution of differential equations by finite element methods. FEniCS has an extensive list of features for automated, efficient solution of differential equations, including automated solution of variational problems, automated error control and adaptivity, a comprehensive library of finite elements, high performance linear algebra and many more.

References in zbMATH (referenced in 273 articles , 2 standard articles )

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  1. Attia, Ahmed; Alexanderian, Alen; Saibaba, Arvind K.: Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems (2018)
  2. Badia, Santiago; Martín, Alberto F.; Principe, Javier: FEMPAR: an object-oriented parallel finite element framework (2018)
  3. Bal, Guillaume; Hoffmann, Kristoffer; Knudsen, Kim: Propagation of singularities for linearised hybrid data impedance tomography (2018)
  4. Bänsch, E.; Karakatsani, F.; Makridakis, C. G.: A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem (2018)
  5. Baumann, Manuel; Benner, Peter; Heiland, Jan: Space-time Galerkin POD with application in optimal control of semilinear partial differential equations (2018)
  6. Boon, Wietse M.; Nordbotten, Jan M.; Yotov, Ivan: Robust discretization of flow in fractured porous media (2018)
  7. Bousquet, Arthur; Hu, Xiaozhe; Metti, Maximilian S.; Xu, Jinchao: Newton solvers for drift-diffusion and electrokinetic equations (2018)
  8. Brenner, Susanne C.; Diegel, Amanda E.; Sung, Li-Yeng: A robust solver for a mixed finite element method for the Cahn-Hilliard equation (2018)
  9. Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.: Comparative study of finite element methods using the time-accuracy-size(TAS) spectrum analysis (2018)
  10. Chaudhry, Jehanzeb H.: A posteriori analysis and efficient refinement strategies for the Poisson-Boltzmann equation (2018)
  11. Clason, Christian; Do, Thi Bich Tram; Pörner, Frank: Error estimates for the approximation of multibang control problems (2018)
  12. Clason, Christian; Kruse, Florian; Kunisch, Karl: Total variation regularization of multi-material topology optimization (2018)
  13. Claus, Susanne; Bigot, Samuel; Kerfriden, Pierre: CutFEM method for Stefan-Signorini problems with application in pulsed laser ablation (2018)
  14. Daon, Yair; Stadler, Georg: Mitigating the influence of the boundary on PDE-based covariance operators (2018)
  15. de Hoop, Maarten V.; Kepley, Paul; Oksanen, Lauri: An exact redatuming procedure for the inverse boundary value problem for the wave equation (2018)
  16. Etling, Tommy; Herzog, Roland: Optimum experimental design by shape optimization of specimens in linear elasticity (2018)
  17. Froese, Brittany D.: Meshfree finite difference approximations for functions of the eigenvalues of the Hessian (2018)
  18. Fumagalli, Ivan; Parolini, Nicola; Verani, Marco: On a free-surface problem with moving contact line: from variational principles to stable numerical approximations (2018)
  19. Gao, Huadong; Qiu, Weifeng: Error analysis of mixed finite element methods for nonlinear parabolic equations (2018)
  20. Gao, Huadong; Sun, Pengtao: A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations (2018)

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Further publications can be found at: http://fenicsproject.org/citing/