Title :
Higher order hierarchical curved hexahedral vector finite elements for electromagnetic modeling
Author :
M.M. Ilic;B.M. Notaros
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Massachusetts Dartmouth, MA, USA
Abstract :
A novel higher order finite-element technique based on generalized curvilinear hexahedra with hierarchical curl-conforming polynomial vector basis functions is proposed for microwave modeling. The finite elements are implemented for geometrical orders from 1 to 4 and field-approximation orders from 1 to 10 in the same Galerkin-type finite-element method and applied to eigenvalue analysis of arbitrary electromagnetic cavities. Individual curved hexahedra in the model can be as large as approximately 2/spl lambda//spl times/2/spl lambda//spl times/2/spl lambda/, which is 20 times the traditional low-order modeling discretization limit of /spl lambda//10 in each dimension. The examples show excellent flexibility and efficiency of the higher order (more precisely, low-to-high order) method at modeling of both field variation and geometrical curvature, and its excellent properties in the context of p-refinement of solutions, for models with both flat and curved surfaces. The reduction in the number of unknowns is by an order of magnitude when compared to low-order solutions.
Keywords :
"Finite element methods","Electromagnetic modeling","Solid modeling","Context modeling","Polynomials","Microwave theory and techniques","Moment methods","Eigenvalues and eigenfunctions","Electromagnetic analysis","Electromagnetic fields"
Journal_Title :
IEEE Transactions on Microwave Theory and Techniques
DOI :
10.1109/TMTT.2003.808680