By Topic

Error estimation for automatic adaptive finite element mesh generation

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 $13
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)
Pinchuk, A. ; McGill University, Montreal Quebec, Canada ; Silvester, P.P.

Adaptive algorithms for automatic finite element mesh generation as used for two and three-dimensional analysis of electromagnetic devices require global and local refinement criteria to indicate when and where to refine the mesh. As the refinement criteria, local and global estimates of the errors in a calculated solution are proposed using standard and complementary finite element techniques based on Synges hypercircle method. Two local refinement criteria are presented which bound element by element errors between the exact and calculated energy density and stored energy of each element. Meshes generated using these criteria are shown to be well refined in areas of concern for finite element analysis. Illustrative examples demonstrate these criteria for some diverse applications.

Published in:

Magnetics, IEEE Transactions on  (Volume:21 ,  Issue: 6 )