A compiler for variational forms-Reference-Cited by-同舟云学术

A compiler for variational forms

Published:2006-09 Issue:3 Volume:32 Page:417-444
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Kirby Robert C.¹,Logg Anders²

Affiliation:

1. The University of Chicago, Chicago, IL

2. Toyota Technological Institute at Chicago, Chicago, IL

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/1163641.1163644

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