Title :
Generating Whitney forms of polynomial degree one and higher
Author_Institution :
Electricite de France, Clamart, France
fDate :
3/1/2002 12:00:00 AM
Abstract :
A rationale for Whitney forms is proposed; they are seen as a device to approximate manifolds, with approximation of differential forms as a byproduct. A recursive generating formula is derived. A natural way to build higher-degree forms then follows
Keywords :
convergence of numerical methods; electromagnetic field theory; mesh generation; polynomial approximation; Whitney form generation; Whitney forms; convergence; differential forms approximation; edge elements; electromagnetism; manifold approximation; polynomial degree Whitney forms; recursive generating formula; Error analysis; Geometry; Polynomials;
Journal_Title :
Magnetics, IEEE Transactions on
