A diagonal factorization for integral equation matrices
- Resource Type
- Conference
- Authors
- Adams, R. J.; Young, J. C.
- Source
- 2016 International Conference on Electromagnetics in Advanced Applications (ICEAA) Electromagnetics in Advanced Applications (ICEAA), 2016 International Conference on. :812-815 Sep, 2016
- Subject
- Aerospace
Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineered Materials, Dielectrics and Plasmas
Fields, Waves and Electromagnetics
Photonics and Electrooptics
Symmetric matrices
Integral equations
Sparse matrices
Scattering
Impedance
Complexity theory
Context
- Language
This paper reports on an improved factorization strategy for integral equation matrices based on source and field transformations that have localizing radiation and reception properties. In addition to the use of localizing functions, the method incorporates orthogonally matched receivers. It is shown that this yields a controllably diagonal multilevel matrix factorization. To simplify the presentation, the algorithm is described for symmetric systems. Numerical results are presented for both symmetric and non-symmetric matrices.