A compiler for variational forms
Artikel i vetenskaplig tidskrift, 2006

As a key step towards a complete automation of the finite element method, we present a new algorithm for automatic and efficient evaluation of multilinear variational forms. The algorithm has been implemented in the form of a compiler, the FEniCS Form Compiler (FFC). We present benchmark results for a series of standard variational forms, including the incompressible Navier-Stokes equations and linear elasticity. The speedup compared to the standard quadrature-based approach is impressive; in some cases the speedup is as large as a factor of 1000. © 2006 ACM.

Variational form

Automation

Compiler

Finite element

Författare

R.C. Kirby

Anders Logg

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

ACM Transactions on Mathematical Software

0098-3500 (ISSN)

Vol. 32 417-444

Ämneskategorier

Matematik

Beräkningsmatematik

DOI

10.1145/1163641.1163644