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Discrete optimization of finite element matrix evaluation

Authors :
Andy R. Terrel
L. Ridgway Scott
Anders Logg
Robert C. Kirby
Matthew G. Knepley
Source :
Automated Solution of Differential Equations by the Finite Element Method ISBN: 9783642230981
Publication Year :
2012
Publisher :
Springer Berlin Heidelberg, 2012.

Abstract

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.

Details

ISBN :
978-3-642-23098-1
ISBNs :
9783642230981
Database :
OpenAIRE
Journal :
Automated Solution of Differential Equations by the Finite Element Method ISBN: 9783642230981
Accession number :
edsair.doi...........75f998556fb303e5529fb66dee653184