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 22 articles , 1 standard article )

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  1. 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)
  2. 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)
  3. Bertoluzza, Silvia; Pennacchio, Micol; Prud’homme, Christophe; Samake, Abdoulaye: Substructuring preconditioners for $h$-$p$ mortar FEM (2016)
  4. 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)
  5. Tobias Leibner, Rene Milk, Felix Schindler: Extending DUNE: The dune-xt modules (2016) arXiv
  6. 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)
  7. 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)
  8. Caldini-Queiros, Céline; Chabannes, Vincent; Ismail, Mourad; Pena, Goncalo; Prud’homme, Christophe; Szopos, Marcela; Tarabay, Ranine: Towards large-scale three-dimensional blood flow simulations in realistic geometries (2013)
  9. Chabannes, Vincent; Pena, Gonçalo; Prud’homme, Christophe: High-order fluid-structure interaction in 2D and 3D application to blood flow in arteries (2013)
  10. Daversin, C.; Veys, S.; Trophime, C.; Prud’homme, C.: A reduced basis framework: application to large scale non-linear multi-physics problems (2013)
  11. Di Pietro, Daniele A.; Gratien, Jean-Marc; Prud’homme, Christophe: A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes (2013)
  12. Doyeux, V.; Guyot, Y.; Chabannes, V.; Prud’homme, C.; Ismail, M.: Simulation of two-fluid flows using a finite element/level set method. Application to bubbles and vesicle dynamics (2013)
  13. Samake, A.; Bertoluzza, S.; Pennacchio, M.; Prud’homme, C.; Zaza, C.: A parallel implementation of the mortar element method in 2D and 3D (2013)
  14. Schenone, E.; Veys, S.; Prud’homme, C.: High performance computing for the reduced basis method. Application to natural convection (2013)
  15. Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel: \itA priori convergence of the greedy algorithm for the parametrized reduced basis method (2012)
  16. Doyeux, Vincent; Chabannes, Vincent; Prud’Homme, Christophe; Ismail, Mourad: Simulation of vesicle using level set method solved by high order finite element (2012)
  17. Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.: High performance domain decomposition methods on massively parallel architectures with freefem++ (2012)
  18. Pena, Gonçalo; Prud’homme, Christophe; Quarteroni, Alfio: High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain (2012)
  19. Prud’homme, Christophe; Chabannes, Vincent; Doyeux, Vincent; Ismail, Mourad; Samake, Abdoulaye: Feel++: a computational framework for Galerkin methods and advanced numerical methods (2012)
  20. Pena, Gonçalo; Prud’homme, Christophe: Construction of a high order fluid-structure interaction solver (2010)

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