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
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
