Contamination of the Accuracy of the Combined-Field Integral Equation With the Discretization Error of the Magnetic-Field Integral Equation

Download

index.pdf

Date

2009-09-01

Author

Gurel, Levent
Ergül, Özgür Salih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

133
views

0
downloads

We investigate the accuracy of the combined-field integral equation (CFIE) discretized with the Rao-Wilton-Glisson (RWG) basis functions for the solution of scattering and radiation problems involving three-dimensional conducting objects. Such a low-order discretization with the RWG functions renders the two components of CFIE, i.e., the electric-field integral equation (EFIE) and the magnetic-field integral equation (MFIE), incompatible, mainly because of the excessive discretization error of MFIE. Solutions obtained with CFIE are contaminated with the MFIE inaccuracy, and CFIE is also incompatible with EFIE and MFIE. We show that, in an iterative solution, the minimization of the residual error for CFIE involves a breakpoint, where a further reduction of the residual error does not improve the solution in terms of compatibility with EFIE, which provides a more accurate reference solution. This breakpoint corresponds to the last useful iteration, where the accuracy of CFIE is saturated and a further reduction of the residual error is practically unnecessary.

Subject Keywords

Electrical and Electronic Engineering

URI

https://hdl.handle.net/11511/40879

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

DOI

https://doi.org/10.1109/tap.2009.2024529

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Efficient solution of the electric-field integral equation using the iterative LSQR algorithm Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-01-01) In this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) can be improved by employing an iterative least-squares QR (LSQR) algorithm. Compared to many other Krylov subspace methods, LSQR provides faster convergence and it becomes an alternative choice to the time-efficient no-restart generalized minimal residual (GMRES) algorithm that requires la...
Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns Gurel, L.; Ergül, Özgür Salih (Institution of Engineering and Technology (IET), 2007-04-26) The solution of extremely large scattering problems that are formulated by integral equations and discretised with tens of millions of unknowns is reported. Accurate and efficient solutions are performed by employing a parallel implementation of the multilevel fast multipole algorithm. The effectiveness of the implementation is demonstrated on a sphere problem containing more than 33 million unknowns, which is the largest integral-equation problem ever solved to our knowledge.
Singularity of the magnetic-field integral equation and its extraction Gurel, L; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2005-01-01) In the solution of the magnetic-field integral equation (MFIE) by the method of moments (MOM) on planar triangulations, singularities arise both in the inner integrals on the basis functions and also in the outer integrals on the testing functions. A singularity-extraction method is introduced for the efficient and accurate computation of the outer integrals, similar to the way inner-integral singularities are handled. In addition, various formulations of the MFIE and the electric-field integral equation ar...
EFIE-Tuned Testing Functions for MFIE and CFIE Karaosmanoglu, Bariscan; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2017-01-01) A recently developed numerical technique for improving the accuracy of the magnetic-field integral equation and the combined-field integral equation with low-order discretizations using the Rao-Wilton-Glisson functions is demonstrated on iterative solutions of large-scale complex problems, in order to prove the effectiveness of the proposed strategy as an alternative way for accurate and efficient analysis of multifrequency applications.
Implementation of the Equivalence Principle Algorithm for Potential Integral Equations Farshkaran, Ali; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2019-05-01) A novel implementation of the equivalence principle algorithm (EPA) employing potential integral equations (PIEs) is presented. EPA is generalized to be compatible with PIEs that are used to formulate inner problems inside equivalence surfaces. Based on the stability of PIEs, the resulting EPA-PIE implementation is suitable for low-frequency problems involving dense discretizations with respect to wavelength. Along with the formulation and a clear demonstration of the EPA-PIE mechanism, high accuracy, stabi...

Citation Formats

L. Gurel and Ö. S. Ergül, “Contamination of the Accuracy of the Combined-Field Integral Equation With the Discretization Error of the Magnetic-Field Integral Equation,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, pp. 2650–2657, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40879.