Title :
Refinement strategies and approximation errors for tetrahedral elements
Author :
Tsukerman, Igor ; Plaks, Alexander
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
