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| Authors |
R.C. Kirby Anders Logg |
|---|---|
| Published in | ACM Transactions on Mathematical Software |
| Volume | 32 |
| Issue | 3 |
| Pages | 417-444 |
| ISSN | 0098-3500 |
| Publication year | 2006 |
| Published at |
Department of Mathematical Sciences, Mathematics |
| Pages | 417-444 |
| Language | en |
| Links |
dx.doi.org/10.1145/1163641.1163644 |
| Keywords | Automation , Compiler , Finite element , Variational form |
| Subject categories | Mathematics, Computational Mathematics |
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.
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