Discrete Optimization of Finite Element Matrix Evaluation
Book chapter, 2012

The tensor contraction structure for the computation of the element tensor AT obtained in Chapter 8,enables not only the construction of a compiler for variational forms,but an optimizing compiler.For typical variational forms,the reference tensor A0 has significant structure that allows the element tensor AT to be computed on an arbitrary cell T at a lower computational cost.

Author

Robert C. Kirby

Matthew G. Knepley

Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

L. Ridgway Scott

Andy R. Terrel

Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.)

163-169
978-3-642-23098-1 (ISBN)

Subject Categories

Mathematics

Computational Mathematics

DOI

10.1007/978-3-642-23099-8_9

ISBN

978-3-642-23098-1

More information

Created

10/7/2017