Title :
Hybrid multilevel/multigrid potential preconditioner for fast finite element modeling
Author :
Zhu, Yu ; Cangellaris, Andreas C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
A robust hybrid multilevel/multigrid potential preconditioner is introduced for the fast and robust finite-element modeling of electromagnetic structures. The proposed preconditioning process combines the advantages of the hierarchical multilevel preconditioner and the nested multigrid potential preconditioner into a novel preconditioner with superior computational versatility. Numerical experiments from the application of the new preconditioner to the finite-element analysis of microwave devices demonstrate its superior numerical convergence and efficient memory usage.
Keywords :
S-parameters; band-stop filters; convergence of numerical methods; finite element analysis; microstrip lines; waveguide filters; bandstop waveguide filter; computational versatility; electromagnetic structures; fast finite element modeling; finite-element analysis; hierarchical multilevel preconditioner; hybrid multilevel/multigrid potential preconditioner; memory usage; microstrip line; microwave devices; nested multigrid potential preconditioner; numerical convergence; numerical experiments; scalar potential formulation; scattering parameters; vector potential formulation; Convergence of numerical methods; Electrodynamics; Electromagnetic fields; Electromagnetic modeling; Equations; Finite element methods; Microwave devices; Null space; Robustness;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2002.801943
