Title :
Hierarchical multilevel potential preconditioner for fast finite-element analysis of microwave devices
Author :
Zhu, Yu ; Cangellaris, Andreas C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
8/1/2002 12:00:00 AM
Abstract :
A robust hierarchical multilevel preconditioning technique is presented for the fast finite-element analysis of microwave devices. The proposed preconditioner is based on a hierarchical multilevel scheme for the vector-scalar potential finite-element formulation of electromagnetic problems. Numerical experiments from the application of the new preconditioner to the finite-element analysis of microwave devices are used to demonstrate its superior numerical convergence and efficient memory usage.
Keywords :
S-parameters; convergence of numerical methods; finite element analysis; microstrip lines; microwave devices; waveguide filters; electromagnetic problems; fast finite-element analysis; hierarchical multilevel potential preconditioner; hierarchical multilevel scheme; memory usage; microstrip line; microwave devices; numerical convergence; numerical experiments; vector-scalar potential finite-element formulation; waveguide filter; Convergence of numerical methods; Finite element methods; Helium; Iterative methods; Linear systems; Microwave devices; Microwave theory and techniques; Null space; Robustness; Vectors;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2002.801351