Optimizations for quadrature representations of finite element tensors through automated code generation

@article{lgaard2010OptimizationsFQ,
  title={Optimizations for quadrature representations of finite element tensors through automated code generation},
  author={Kristian B. \Olgaard and Garth N. Wells},
  journal={ACM Trans. Math. Softw.},
  year={2010},
  volume={37},
  pages={8:1-8:23}
}
We examine aspects of the computation of finite element matrices and vectors that are made possible by automated code generation. Given a variational form in a syntax that resembles standard mathematical notation, the low-level computer code for building finite element tensors, typically matrices, vectors and scalars, can be generated automatically via a form compiler. In particular, the generation of code for computing finite element matrices using a quadrature approach is addressed. For… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-4 of 4 references

A compiler for variational forms

ACM Trans. Math. Softw. • 2006
View 8 Excerpts
Highly Influenced

Algorithm 839: FIAT, a new paradigm for computing finite element basis functions

ACM Trans. Math. Softw. • 2004
View 4 Excerpts
Highly Influenced

Automated computational modelling for solid mechanics

K. B. ØLGAARD, G. N. WELLS, A. LOGG
Proceedings of the IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media, B. D. Reddy, Ed. IUTAM Bookseries, vol. 11. Springer-Verlag, Berlin, Germany, 192–204. • 2008
View 5 Excerpts
Highly Influenced

PETSc Web page

S. BALAY, K. BUSCHELMAN, +5 authors H. ZHANG
http://www.mcs.anl.gov/petsc/. • 2001
View 3 Excerpts
Highly Influenced

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