FEniCS Project

FEniCS Project

Stable release	1.6.0 (July 29, 2015) [±]
Development status	Active
Operating system	Linux, OS X, Unix, Windows
Available in	C++, Python
Type	Scientific simulation software
License	GNU Lesser General Public License
Website	www.fenicsproject.org

The FEniCS Project is a collection of free, open source, software components with the common goal to enable automated solution of differential equations. The components provide scientific computing tools for working with computational meshes, finite element variational formulations of ordinary and partial differential equations, and numerical linear algebra.^[1][2]

Design and components

The FEniCS Project is designed as an umbrella project for a collection of interoperable components. The core components are^[3]

A schematic overview of the FEniCS components and their interplay

• UFL (Unified Form Language), a domain-specific language embedded in Python for specifying finite element discretizations of differential equations in terms of finite element variational forms;
• FIAT (Finite element Automatic Tabulator), a Python module for generation of arbitrary order finite element basis functions on simplices;
• FFC (FEniCS Form Compiler), a compiler for finite element variational forms taking UFL code as input and generating UFC output;
• UFC (Unified Form-assembly Code), a C++ interface consisting of low-level functions for evaluating and assembling finite element variational forms;
• Instant, a Python module for inlining C and C++ code in Python;
• DOLFIN, a C++/Python library providing data structures and algorithms for finite element meshes, automated finite element assembly, and numerical linear algebra.

DOLFIN functions as the main problem solving environment and user interface. Its functionality integrates the other FEniCS components and handles communication with external libraries such as PETSc, Trilinos and Eigen for numerical linear algebra, ParMETIS and SCOTCH for mesh partitioning, and MPI and OpenMP for distributed computing.

History

The FEniCS Project was initiated in 2003 as a research collaboration between the University of Chicago and Chalmers University of Technology. The following institutions are currently, or have been, actively involved in the development of the project

• Argonne National Laboratory
• Chalmers University of Technology
• Delft University of Technology
• Royal Institute of Technology
• Simula Research Laboratory
• University of Cambridge
• University of Chicago

See also

• List of finite element software packages
• List of numerical analysis software

References

1. "The FEniCS Project page". The FEniCS Project. Retrieved 8 December 2011.
2. Anders Logg, Kent-Andre Mardal, Garth N. Wells, ed. (2011). Automated Solution of Differential Equations by the Finite Element Method. Springer. ISBN 978-3-642-23098-1.
3. "Core components of the FEniCS Project". The FEniCS Project. Retrieved 8 December 2011.

External links

• The FEniCS project on Bitbucket