DocumentCode
1514712
Title
Hierarchical methods for solving matrix equations from TVFEMs for microwave components
Author
Peng, Guanghua ; Dyczij-Edlinger, Romanus ; Lee, Jin-Fa
Author_Institution
Ansoft Corp., Pittsburgh, PA, USA
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1474
Lastpage
1477
Abstract
In this paper, hierarchical finite elements are utilized to construct efficient solvers for wave propagation problems. We exploit the special structure found in higher order basis functions to improve stability and apply multigrid ideas to derive a robust Schwartz-type method. Numerical examples are given to validate the proposed formulations
Keywords
finite element analysis; matrix algebra; microstrip lines; microwave propagation; TVFEM; hierarchical finite elements; hierarchical methods; higher order basis functions; matrix equations solving; microstrip lines; microwave components; multigrid ideas improvement; robust Schwartz-type method; stability improvement; tangentially continuous vector FEM; tangentially continuous vector finite elements; wave propagation problems; Eigenvalues and eigenfunctions; Finite element methods; Frequency; Lagrangian functions; Microwave theory and techniques; Modal analysis; Partial differential equations; Resonance; Robustness; Stability;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767245
Filename
767245
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