Title :
Appropriate finite-element formulations for 3-D electromagnetic-field problems
Author :
Kaltenbacher, M. ; Reitzinger, S.
Author_Institution :
Dept. of Sensor Technol., Univ. of Erlangen, Germany
fDate :
3/1/2002 12:00:00 AM
Abstract :
This paper deals with the appropriate finite-element (FE) formulations of three-dimensional electromagnetic-field problems. The magnetic vector potential is used as the field variable and two variational formulations for the FE discretization with Lagrange (nodal) as well as Nedelec (edge) FEs are discussed. We will especially focus on the problems arising by using nodal FEs and will demonstrate the correct approximation by applying a special weighting within the divergence integral
Keywords :
electromagnetic field theory; finite element analysis; variational techniques; Lagrange nodal elements; Nedelec edge elements; divergence integral; finite element method; magnetic vector potential; numerical discretization; three-dimensional electromagnetic field; variational formulation; Conducting materials; Conductivity; Eigenvalues and eigenfunctions; Electromagnetic fields; Finite element methods; Helium; Lagrangian functions; Magnetic domains; Magnetic materials; Magnetostatics;
Journal_Title :
Magnetics, IEEE Transactions on