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Discrete Optimization of Finite Element Matrix Evaluation

Chapter in book
Authors Robert C. Kirby
Matthew G. Knepley
Anders Logg
L. Ridgway Scott
Andy R. Terrel
Published in Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.)
Pages 163-169
ISBN 978-3-642-23098-1
Publisher Springer
Place of publication Heidelberg
Publication year 2012
Published at Department of Mathematical Sciences, Mathematics
Pages 163-169
Language en
Links dx.doi.org/10.1007/978-3-642-23099-...
Subject categories Mathematics, Computational Mathematics

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.

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http://gu.se/english/research/publication/?publicationId=191190
Utskriftsdatum: 2020-08-04