Skip to main content

Tensor representation of finite element variational forms

  • Chapter
  • First Online:
Automated Solution of Differential Equations by the Finite Element Method

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 84))

  • 14k Accesses

Abstract

In Chapter 6, we saw that an important step in the assembly of matrices and vectors for the 4523 discretization of finite element variational problems is the evaluation of the cell (element) tensor AT 4524 defined by 4525 AT,i = aT(f T,r ir,...,fT,2 i2,fT,1 i1 ).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kirby, R.C., Logg, A. (2012). Tensor representation of finite element variational forms. 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_8

Download citation

Publish with us

Policies and ethics