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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© 2012 Springer-Verlag Berlin Heidelberg
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Kirby, R.C., Knepley, M.G., Logg, A., Scott, L.R., Terrel, A.R. (2012). Discrete optimization of finite element matrix evaluation. In: Logg, A., Mardal, KA., Wells, G. (eds) Automated Solution of Differential Equations by the Finite Element Method. Lecture Notes in Computational Science and Engineering, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23099-8_9
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DOI: https://doi.org/10.1007/978-3-642-23099-8_9
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23098-1
Online ISBN: 978-3-642-23099-8
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