Title :
Finite-element analysis of arbitrarily shaped cavity resonators using H1(curl) elements
Author :
Perepelitsa, Sergey G. ; Dyczij-Edlinger, Romanus ; Lee, Jin-Fa
Author_Institution :
ECE Dept., Worcester Polytech. Inst., MA, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
We propose a finite element method together with a constraint Lanczos algorithm for analyzing arbitrarily-shaped microwave cavities. The proposed methodology is based on the use of H10(curl) tangential vector finite elements. Moreover, in order to solve for the generalized eigenmatrix equation efficiently, we have also developed a constrained Lanczos algorithm. Specifically, in the constrained Lanczos algorithm, we orthogonalize each new Krylov vector with respect to the spurious DC modes. Consequently, the iterative process can be used to solve for the physical resonant modes, including physical static fields, without the occurrences of any spurious DC modes
Keywords :
cavity resonators; eigenvalues and eigenfunctions; finite element analysis; iterative methods; matrix algebra; H1 curl elements; H10 curl tangential vector finite elements; Krylov vector; arbitrarily shaped cavity resonators; constraint Lanczos algorithm; cylindrical dielectric resonator; finite-element analysis; generalized eigenmatrix equation; iterative process; microwave cavities; physical resonant modes; physical static fields; rectangular inhomogeneous resonators; spurious DC modes; Cavity resonators; Equations; Finite element methods; Hilbert space; Iterative algorithms; Lagrangian functions; Moment methods; Polynomials; Resonance; Testing;
Journal_Title :
Magnetics, IEEE Transactions on
