DocumentCode
1535246
Title
Design sensitivities using high-order tetrahedral vector elements
Author
Webb, J.P.
Author_Institution
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada
Volume
37
Issue
5
fYear
2001
fDate
9/1/2001 12:00:00 AM
Firstpage
3600
Lastpage
3603
Abstract
Obtaining design sensitivities for electromagnetic quantities by finite element analysis requires explicit expressions for the derivatives of the local stiffness matrix with respect to design parameters. By expressing the stiffness matrix for a vector tetrahedron in a certain way, the required derivatives are easily evaluated in terms of universal matrices. The method is validated by comparison with exact values or with derivatives obtained by a finite-difference formula
Keywords
electromagnetism; finite element analysis; matrix algebra; optimisation; EM quantities; design parameters; design sensitivities; electromagnetic quantities; high-order tetrahedral vector elements; local stiffness matrix; universal matrices; vector tetrahedron; Automation; Buildings; Electromagnetic analysis; Electromagnetic fields; Equations; Finite difference methods; Finite element methods; Geometry; Optimization methods; Vectors;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.952671
Filename
952671
Link To Document