By Topic

High-order finite elements of complete and incomplete bases in electromagnetic-field computation

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Ren, Z. ; Simplex Solution Inc., Sunnyvale, CA, USA ; Ida, N.

Function spaces of high-order differential-forms-based finite elements of complete bases are analysed and compared with those of incomplete bases. Elements of complete and incomplete bases differ only in the null space of the differential operator. They model the same range space of the differential operator. A comparison of l-form 2nd order hierarchical elements (hierarchical edge elements) of complete and incomplete bases is carried out through the example of an eddy-current problem. It is found that there is no significant difference in the accuracy of the results given by the two kinds of elements, as long as the ratio mesh size/skin depth is sufficiently small. However, elements of complete bases are much more expensive to use

Published in:

Science, Measurement and Technology, IEE Proceedings -  (Volume:149 ,  Issue: 3 )