Title :
Symmetric second order edge elements for triangles and tetrahedra
Author :
Kameari, Akihisa
Author_Institution :
Sci. Solutions Int. Lab. Inc., Tokyo, Japan
fDate :
5/1/1999 12:00:00 AM
Abstract :
A new type of second order edge elements for simplexes (triangles and tetrahedra) is proposed. The element is geometrically symmetric and the shape functions are orthogonal to each other in the integrals of the tangential components on edges. The number of nodes and edges are 14 and 24 in a tetrahedral element. The proposed elements are validated by eigenmode calculations in a cavity using newly developed method to solve eigenvalue problems with large matrices. Highly accurate eigenvalues are calculated using the elements
Keywords :
eigenvalues and eigenfunctions; electromagnetic field theory; matrix algebra; EM field analysis; eigenmode calculations; eigenvalue problems; large matrices; shape functions; symmetric second order edge elements; tetrahedra; triangles; Eigenvalues and eigenfunctions; Finite element methods; Laboratories; Lagrangian functions; Performance analysis; Polynomials; Shape; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
