Title :
Computation of 3-D electromagnetic cavity resonances using hexahedral vector finite elements with hierarchical polynomial basis functions
Author :
M.M. Ilic;B.M. Notaros
Author_Institution :
ECE Dept., Univ. of Massachusetts, N. Dartmouth, MA, USA
fDate :
6/24/1905 12:00:00 AM
Abstract :
Finite element method (FEM) solutions to 3-D electromagnetic field problems based on vector (edge) finite elements have proved to be free of inherent shortcomings of traditionally used scalar (node-based) finite elements. We propose a FEM technique based on using curl-conforming vector hierarchical polynomial basis functions in hexahedral finite elements and implement it in analysis of 3-D electromagnetic cavities. The field expansions automatically satisfy continuity boundary conditions for tangential fields on surfaces shared by adjacent hexahedrons in a FEM mesh. Hierarchical basis functions allow elements of different orders to be incorporated into a mesh. Polynomial degrees can be high, so electrically large finite elements can be used (large-domain FEM technique). This dramatically reduces the overall number of unknowns for a given problem.
Keywords :
"Resonance","Finite element methods","Polynomials","Eigenvalues and eigenfunctions","Electromagnetic analysis","Boundary conditions","Microwave devices","Microwave ovens","Electromagnetic fields","Modems"
Conference_Titel :
Antennas and Propagation Society International Symposium, 2002. IEEE
Print_ISBN :
0-7803-7330-8
DOI :
10.1109/APS.2002.1017075