A compiler for variational forms

被引：158

作者：

Kirby, Robert C.

Logg, Anders

机构：

[1] Univ Chicago, Dept Comp Sci, Chicago, IL 60637 USA

[2] Toyota Technol Inst Chicago, Chicago, IL 60637 USA

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2006年 / 32卷 / 03期

关键词：

algorithms; performance; variational form; compiler; finite element; automation;

D O I：

10.1145/1163641.1163644

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：417 / 444

页数：28