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A compiler for variational forms

Journal article
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
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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