Title :
Design sensitivities using high-order tetrahedral vector elements
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada
fDate :
9/1/2001 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
