Feel++ is a unified C++ implementation of Galerkin methods (finite and spectral element methods) in 1D, 2D And 3D to solve partial differential equations. The objectives of this framework is quite ambitious; ambitions which could be express in various ways such as : - the creation of a versatile mathematical kernel solving easily problems using different techniques thus allowing testing and comparing methods, e.g. cG versus dG, - the creation of a small and manageable library which shall nevertheless - encompass a wide range of numerical methods and techniques, - build mathematical software that follows closely the mathematical abstractions associated with partial differential equations (PDE)(which is often not the case, for example the design could be physics oriented) - the creation of a library entirely in C++’ allowing to create C++ complex and typically multi-physics applications such as fluid-structure interaction or mass transport in haemodynamics (the rationale being that these applications are computing intensive and the use of an interpreted language such as python would not be satisfying though in many simpler cases that would simplify and accelerate the development.) Feel++ was initially developed at École Polytechnique Fédérale de Lausanne(Suisse) and is now a joint effort between Université de Strasbourg, Université Joseph Fourier (Grenoble), University of Coimbra (Portugal) and CNRS. (Source: http://freecode.com/)

References in zbMATH (referenced in 35 articles , 1 standard article )

Showing results 1 to 20 of 35.
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  1. Degen, Denise; Veroy, Karen; Wellmann, Florian: Certified reduced basis method in geosciences. Addressing the challenge of high-dimensional problems (2020)
  2. Farrell, P. E.; Hake, J. E.; Funke, S. W.; Rognes, M. E.: Automated adjoints of coupled PDE-ODE systems (2019)
  3. Kirby, Robert C.; Mitchell, Lawrence: Code generation for generally mapped finite elements (2019)
  4. Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E.: Veamy: an extensible object-oriented C++ library for the virtual element method (2019)
  5. Alouges, François; Aussal, Matthieu: FEM and BEM simulations with the Gypsilab framework (2018)
  6. Cicuttin, M.; Di Pietro, D. A.; Ern, A.: Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming (2018)
  7. Kirby, Robert C.: A general approach to transforming finite elements (2018)
  8. Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter: Slate: extending Firedrake’s domain-specific abstraction to hybridized solvers for geoscience and beyond (2018) arXiv
  9. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  10. Alejandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana: Veamy: an extensible object-oriented C++ library for the virtual element method (2017) arXiv
  11. Bertoluzza, S.; Chabannes, V.; Prud’homme, C.; Szopos, M.: Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics (2017)
  12. Aïssiouene, Nora; Amtout, Tarik; Brachet, Matthieu; Frénod, Emmanuel; Hild, Romain; Prud’homme, Christophe; Rousseau, Antoine; Salmon, Stephanie: Hydromorpho: a coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library (2016)
  13. Ancel, Alexandre; Fortin, Alexandre; Garnotel, Simon; Miraucourt, Olivia; Tarabay, Ranine: PHANTOM project: development and validation of the pipeline from MRA acquisition to MRA simulations (2016)
  14. Bertoluzza, Silvia; Pennacchio, Micol; Prud’homme, Christophe; Samake, Abdoulaye: Substructuring preconditioners for (h)-(p) mortar FEM (2016)
  15. Dollé, Guillaume; Duran, Omar; Feyeux, Nelson; Frénod, Emmanuel; Giacomini, Matteo; Prud’homme, Christophe: Mathematical modeling and numerical simulation of a bioreactor landfill using FEEL++ (2016)
  16. Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.: GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems (2016)
  17. Tobias Leibner, Rene Milk, Felix Schindler: Extending DUNE: The dune-xt modules (2016) arXiv
  18. Di Pietro, Daniele A.; Ern, Alexandre: A hybrid high-order locking-free method for linear elasticity on general meshes (2015)
  19. Di Pietro, Daniele A.; Lemaire, Simon: An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow (2015)
  20. Alnæs, Martin S.; Logg, Anders; Ølgaard, Kristian B.; Rognes, Marie E.; Wells, Garth N.: Unified form language: a domain-specific language for weak formulations of partial differential equations (2014)

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Further publications can be found at: https://hal.archives-ouvertes.fr/FEEL