From The FEniCS project

The FEniCS Project

FEniCS is free software for automated solution of differential equations. We provide software tools for working with computational meshes, finite element variational formulations of PDEs, ODE solvers and linear algebra together with automated applications in several domains of science.

Projects

FEniCS is organized as a collection of projects/components, which may be categorized into core components (libraries and interfaces) and applications (application-oriented codes and solvers).

Core components DOLFIN, a C++/Python library for solving differential equations FErari, optimizations for evaluation of variational forms FFC, a compiler for finite element variational forms FIAT, tabulation of finite element function spaces Instant, simple inlining of C/C++ code in Python Puffin, simple finite element solver for Octave/MATLAB SyFi, finite element engine based on symbolic mathematics UFC, a unified code generation interface for form-compilers UFL, a unified form language for form-compilers with automatic differentiation Viper, minimalistic scientific plotter and run-time visualization module Applications (FEniCS Apps) ASCoT, a Python module for automated stability condition testing CBC.Solve, a collection of biomedical solvers DiffSim, a library for solving coupled stochastic and deterministic problems DOLFWAVE, a library for surface water waves problems FEniCS Plasticity, a library for standard plasticity Rheagen, a library for solving non-Newtonian fluid problems TriTetMesh, a C++ and Python library for generating high quality DOLFIN meshes Unicorn, a unified continuum mechanics solver

Vision

The vision of FEniCS is to set a new standard in Computational Mathematical Modeling (CMM), which is the Automation of CMM (ACMM), towards the goals of generality, efficiency, and simplicity, concerning mathematical methodology, implementation, and application.

Computational Mathematical Modeling is the modern manifestation of the basic principle of science: formulating mathematical equations (modeling) and solving equations (computation), with the equations usually taking the form of differential/integral equations.

Partners

FEniCS is a joint project between University of Chicago, Argonne National Laboratory, Delft University of Technology, Royal Institute of Technology KTH, Simula Research Laboratory, Texas Tech University, and University of Cambridge (in order of appearance).