Title :
Comparison of accuracy criteria for approximation of conservative fields on tetrahedra
Author :
Tsukerman, Igor ; Plaks, Alexander
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
9/1/1998 12:00:00 AM
Abstract :
A new maximum eigenvalue criterion for a scaled stiffness matrix and a related singular value criterion for the element `edge shape matrix´, as well as conventional conditions of approximation accuracy, are applied to tetrahedral node and edge elements and compared. The singular value criterion is the most precise and least restrictive a priori condition and is recommended for engineering practice
Keywords :
eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; singular value decomposition; a priori condition; accuracy criteria; approximation accuracy; conservative fields; edge shape matrix; maximum eigenvalue criterion; node elements; scaled stiffness matrix; singular value criterion; tetrahedra; Approximation error; Eigenvalues and eigenfunctions; Error analysis; Finite element methods; Interpolation; Linear approximation; Magnetostatics; Shape; Solids; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
