On the Treatment of Arbitrary Boundary Conditions Using a Fast Direct H-Matrix Solver in MoM

Enthalten in
IEEE transactions on antennas and propagation 
Volume
64
Issue
8
Start Page
3670
End Page
3676
Article Number
7473916
Citation
IEEE Transactions on Antennas and Propagation 8 (64): 7473916 3670-3676 (2016-08-01)
Publisher DOI
10.1109/TAP.2016.2570803
Scopus ID
2-s2.0-84981205638
This communication adapts the formalism of hierarchical H) matrices to the direct solution process (LU decomposition) of the method of moments (MoM) in the frequency domain. A novel clustering approach based on physical constraints is presented and extended to treat dielectric bodies as well as arbitrary boundary conditions. Comparisons with other numerical methods are provided. The analyses show a considerable speedup of the computation times and a significant reduction of required memory compared with the traditional MoM solution process, especially for highly resonant structures where iterative solvers like the multilevel fast multipole algorithm show poor convergence.
Schlagworte
Boundary conditions
direct solver
hierarchical (H-) matrices
integral equations
method of moments (MoM)
DDC Class
510: Mathematik