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

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 ar...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2016-08, Vol.64 (8), p.3670-3676
Main Authors: Vogt, Alexander, Reuschel, Torsten, Bruns, Heinz-D, Le Borne, Sabine, Schuster, Christian
Format: Article
Language:English
Subjects:
Algorithms
Antennas
Boundary conditions
Dielectrics
direct solver
Frequency domains
hierarchical ( {\mathcal {H}} -) matrices
Integral equations
Kernel
Magnetic domains
Mathematical models
Method of moments
method of moments (MoM)
Numerical analysis
Reduction
Solvers
Testing
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2016.2570803