Title :
Discrete spaces for div and curl-free fields
Author :
Kettunen, Lauri ; Forsman, Kimmo ; Bossavit, Alain
Author_Institution :
Lab. of Electr. & Magnetism, Tampere Univ. of Technol., Finland
fDate :
9/1/1998 12:00:00 AM
Abstract :
In this paper we construct discrete spaces for fields whose curl or div vanishes but for which one cannot find potentials. In electromagnetism such fields appear when the problem domain is not topologically trivial. The discrete spaces are constructed with Whitney elements in simplicial meshes
Keywords :
electromagnetic field theory; finite element analysis; Whitney element; curl-free field; discrete space; div-free field; electromagnetism; mesh; vector field; Finite element methods; Geometry; Joining processes; Kernel; Magnetic domains; Space technology;
Journal_Title :
Magnetics, IEEE Transactions on