Title :
Mixed
–
Finite Elements for Solving 1-D, 2-D, and 3-D Time-Harmonic Maxwell Curl Equati
Author :
He, Bo ; Teixeira, F.L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH
fDate :
5/1/2007 12:00:00 AM
Abstract :
Using a unified discretization approach based on differential forms, we describe mixed finite element methods (FEMs) in simplicial grids to solve time harmonic Maxwell curl equations in one-, two-, and three-dimensions. The proposed mixed FEM utilizes the electric field intensity Eoarr and magnetic flux density Boarras simultaneous state variables. Appropriate elements are used as interpolants for Eoarr and Boarr to satisfy the interface conditions and a discrete version of the de Rham diagram
Keywords :
Maxwell equations; computational electromagnetics; electric fields; finite element analysis; magnetic flux; 1D time-harmonic Maxwell curl equations; 2D time-harmonic Maxwell curl equations; 3D time-harmonic Maxwell curl equations; E-B finite elements; de Rham diagram; electric field intensity; finite element methods; magnetic flux density; unified discretization approach; Electromagnetic fields; Equations; Helium; Indexing; Laboratories; Magnetic fields; Material properties; Resonance; Sparse matrices; Symmetric matrices; Finite element methods (FEMs);
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2007.895682