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 229 articles , 2 standard articles )

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  1. Bal, Guillaume; Hoffmann, Kristoffer; Knudsen, Kim: Propagation of singularities for linearised hybrid data impedance tomography (2018)
  2. Baumann, Manuel; Benner, Peter; Heiland, Jan: Space-time Galerkin POD with application in optimal control of semilinear partial differential equations (2018)
  3. Bousquet, Arthur; Hu, Xiaozhe; Metti, Maximilian S.; Xu, Jinchao: Newton solvers for drift-diffusion and electrokinetic equations (2018)
  4. de Hoop, Maarten V.; Kepley, Paul; Oksanen, Lauri: An exact redatuming procedure for the inverse boundary value problem for the wave equation (2018)
  5. Froese, Brittany D.: Meshfree finite difference approximations for functions of the eigenvalues of the Hessian (2018)
  6. Fumagalli, Ivan; Parolini, Nicola; Verani, Marco: On a free-surface problem with moving contact line: from variational principles to stable numerical approximations (2018)
  7. Homolya, Miklós; Mitchell, Lawrence; Luporini, Fabio; Ham, David A.: TSFC: a structure-preserving form compiler (2018)
  8. Houston, Paul; Sime, Nathan: Automatic symbolic computation for discontinuous Galerkin finite element methods (2018)
  9. Karl, Veronika; Wachsmuth, Daniel: An augmented Lagrange method for elliptic state constrained optimal control problems (2018)
  10. Kotyczka, Paul; Maschke, Bernhard; Lefèvre, Laurent: Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems (2018)
  11. Lenders, Felix; Kirches, C.; Potschka, A.: trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem (2018)
  12. Maljaars, Jakob M.; Labeur, Robert Jan; Möller, Matthias: A hybridized discontinuous Galerkin framework for high-order particle-mesh operator splitting of the incompressible Navier-Stokes equations (2018)
  13. Morgan, Hannah; Scott, L. Ridgway: Towards a unified finite element method for the Stokes equations (2018)
  14. Schmidt, Stephan: Weak and strong form shape hessians and their automatic generation (2018)
  15. Schmidt, Stephan; Schütte, Maria; Walther, Andrea: Efficient numerical solution of geometric inverse problems involving Maxwell’s equations using shape derivatives and automatic code generation (2018)
  16. Stepanov, Sergei; Vasilyeva, Maria; Vasil’ev, Vasiliy I.: Generalized multiscale discontinuous Galerkin method for solving the heat problem with phase change (2018)
  17. Vabishchevich, Petr N.: Numerical solution of time-dependent problems with fractional power elliptic operator (2018)
  18. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  19. Wu, Chengda; Sun, Weiwei: Analysis of Galerkin FEMs for mixed formulation of time-dependent Ginzburg-Landau equations under temporal gauge (2018)
  20. Ziebell, Juliana S.; Farina, Leandro; Korotov, Sergey: Resuspension and transport of fine sediments by waves over a thin layer of viscoelastic mud with erosion (2018)

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