Title :
High order differential form-based elements for the computation of electromagnetic field
Author :
Ren, Z. ; Ida, N.
Author_Institution :
Ansoft Corp., Pittsburgh, PA, USA
fDate :
7/1/2000 12:00:00 AM
Abstract :
The Whitney elements, discrete spaces based on differential forms, have proven their efficiency in electromagnetic field computation. However, they are built only in first order. This paper gives a general description of high order p-form (nodal, edge, facet and volume) elements. Their function spaces and the assignment of degrees of freedom on the simplexes are analyzed. General expressions of the basis functions are given. A comparison of several 2nd order elements is carried out. A procedure for the generation of the hierarchical basis of p-form elements is provided
Keywords :
electromagnetic field theory; finite element analysis; functional analysis; Whitney elements; basis functions; degrees of freedom; discrete spaces; edge elements; electromagnetic field computation; facet elements; function spaces; high order differential form-based elements; nodal elements; p-form element; simplexes; volume elements; Algebra; Calculus; Concrete; Electromagnetic fields; Finite element methods; Genetic expression; Helium; Interpolation; Magnetic flux;
Journal_Title :
Magnetics, IEEE Transactions on
