DocumentCode
1514493
Title
Refinement strategies and approximation errors for tetrahedral elements
Author
Tsukerman, Igor ; Plaks, Alexander
Author_Institution
Dept. of Electr. Eng., Akron Univ., OH, USA
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1342
Lastpage
1345
Abstract
Two tetrahedral mesh refinement algorithms proposed by Zhang are compared using the new singular value criterion for the element edge shape matrix. The `short-edge subdivision´ scheme is better than `labeled edge subdivision´. Validity of the singular value criterion is confirmed and its geometric implications are investigated
Keywords
approximation theory; interpolation; matrix algebra; mesh generation; singular value decomposition; element edge shape matrix; geometric implications; labeled edge subdivision scheme; short-edge subdivision scheme; singular value criterion; tetrahedral mesh refinement algorithms; Adaptive mesh refinement; Eigenvalues and eigenfunctions; Finite element methods; Interpolation; Lead compounds; Length measurement; Shape measurement; Transmission line matrix methods; Vectors;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767210
Filename
767210
Link To Document