DOLFIN: Automated finite element computing
Journal article, 2010

We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness with efficient computation. Finite element variational forms may be expressed in near mathematical notation, from which low-level code is automatically generated, compiled, and seamlessly integrated with efficient implementations of computational meshes and high-performance linear algebra. Easy-to-use object-oriented interfaces to the library are provided in the form of a C++ library and a Python module. This article discusses the mathematical abstractions and methods used in the design of the library and its implementation. A number of examples are presented to demonstrate the use of the library in application code. © 2010 ACM.

Code generation


Form compiler

FEniCS project


Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

G.N. Wells

ACM Transactions on Mathematical Software

0098-3500 (ISSN)

Vol. 37 2

Subject Categories


Computational Mathematics



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