DocumentCode :
789090
Title :
A new set of H(curl)-conforming hierarchical basis functions for tetrahedral meshes
Author :
Ingelström, Pär
Author_Institution :
Sch. of Electr. Eng., Chalmers Univ. of Technol., Goteborg
Volume :
54
Issue :
1
fYear :
2006
Firstpage :
106
Lastpage :
114
Abstract :
A new set of H(curl)-conforming hierarchical basis functions for tetrahedral meshes is presented. Contrary to previous bases, this one is designed such that higher order basis functions vanish when they are projected onto a lower order finite-element space using the interpolation operator defined by Nedelec. Consequently, to increase the polynomial order and improve the accuracy of the interpolated field, only additional degrees of freedom (DOFs) of higher order are added, whereas the original DOFs (the coefficients for the basis functions) remain unchanged. This makes this basis very well suited for use with efficient multilevel solvers and goal-oriented hierarchical error estimators, which is demonstrated through numerical examples
Keywords :
electromagnetic field theory; interpolation; mesh generation; polynomials; H (curl)-conforming basis functions; Nedelec interpolation; Schwarz methods; edge elements; error estimation; finite-element space; hierarchical basis functions; higher order basis functions; interpolation operator; multilevel solvers; polynomial order; tetrahedral meshes; Adaptive mesh refinement; Convergence; Error analysis; Finite element methods; Interpolation; Polynomials; Resonance; Shape; Space technology; Stress; Edge elements; NÉdÉlec interpolation; Schwarz methods; error estimation; hierarchical bases;
fLanguage :
English
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9480
Type :
jour
DOI :
10.1109/TMTT.2005.860295
Filename :
1573802
Link To Document :
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