DOLFIN: Automated finite element computing
Artikel i vetenskaplig tidskrift, 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

DOLFIN

Form compiler

FEniCS project

Författare

Anders Logg

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

G.N. Wells

ACM Transactions on Mathematical Software

0098-3500 (ISSN)

Vol. 37

Ämneskategorier

Matematik

Beräkningsmatematik

DOI

10.1145/1731022.1731030