Title :
Singular Tetrahedral Finite Elements of High Order for Scalar Magnetic and Electric Field Problems
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC
fDate :
6/1/2008 12:00:00 AM
Abstract :
Two series of high-order tetrahedral finite elements are proposed for better representation of the scalar potential near sharp edges and corners. The new elements, of orders 1 to 5, are applied to scalar magnetic- and electric-field problems and are shown to give substantially less error than traditional high-order elements with the same number of degrees of freedom.
Keywords :
electric fields; finite element analysis; functional analysis; magnetic fields; polynomials; degrees of freedom; polynomials; scalar electric field problems; scalar magnetic field problems; singular tetrahedral finite elements; Electric fields; finite-element methods; magnetic fields; singular systems;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.916491
