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