DocumentCode
1177154
Title
A Posteriori Error Estimation of Finite Element Solutions via the Direct Use of Higher Order Hierarchal Test Functions
Author
Dular, Patrick
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Univ. of Liege, Liege
Volume
45
Issue
3
fYear
2009
fDate
3/1/2009 12:00:00 AM
Firstpage
1360
Lastpage
1363
Abstract
An a posteriori error estimation of finite element solutions based on the lack of fulfillment of weak formulations is developed and applied to low frequency electromagnetic problems. The error is quantified via higher order hierarchal test functions and local computations of their contributions on the solutions. The method only uses the weak formulation under study with no need of other kind of evaluation.
Keywords
electromagnetism; error analysis; finite element analysis; a posteriori error estimation; finite element solutions; higher order hierarchal test functions; low frequency electromagnetic problems; Error estimation; finite-element method (FEM); hierarchal finite elements;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2009.2012626
Filename
4787418
Link To Document