Jump to ContentJump to Main Navigation
Finite Element Methods for Maxwell's Equations$
Users without a subscription are not able to see the full content.

Peter Monk

Print publication date: 2003

Print ISBN-13: 9780198508885

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198508885.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 20 October 2019

Topics Concerning Finite Elements

Topics Concerning Finite Elements

Chapter:
(p.199) 8 Topics Concerning Finite Elements
Source:
Finite Element Methods for Maxwell's Equations
Author(s):

Peter Monk

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198508885.003.0008

Besides the first family of edge elements discussed in Chapter 5, there is a second family of elements of full polynomial degree at each order, also due to Nedelec. These have the potential advantage of a higher convergence rate in the least squares norm compared to the curl norm. This chapter defines and analyses these elements, followed by a discussion of curved domains. Edge elements in this setting are by no means well understood, but in the case of refined block structured grids based on mapping, the analysis of the previous chapters is relevant. Lastly, hp-finite element methods for Maxwell’s equations are introduced.

Keywords:   second family of elements, edge elements, curved domain, hp-finite elements

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .