A compiler for variational forms

Details A compiler for variational forms A compiler for variational forms

2011-12-02

arxiv.org/abs/1112.0402v1

ACM Trans. Math. Software 32(3), 2006, pp. 417-444

Mathematics

Numerical Analysis

27 pages, 10 figures

Scientific paper

10.1145/1163641.1163644

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 1000.

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