Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns
Download
index.pdf
Date
2007-04-26
Author
Gurel, L.
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
225
views
0
downloads
Cite This
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.
Subject Keywords
Electrical and Electronic Engineering
URI
https://hdl.handle.net/11511/42788
Journal
ELECTRONICS LETTERS
DOI
https://doi.org/10.1049/el:20070639
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...
Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems
Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-08-01)
We present fast and accurate solutions of large-scale scattering problems involving three-dimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient parallelization of MLFMA, scattering problems that are discretized with tens of millions of unknowns are easily solved on a cluster of computers. We extensively investigate the parallelization of MLFMA, identify the bottlenecks, and provide remedial procedures to improve the efficiency of the imp...
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...
Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects
Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-03-01)
The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot be calculated accurately if the contrast of the object is low. Therefore, we consider the stabilization of the formulations by extracting the nonradiating parts of the equivalent currents. We also investigate various types of stable formulations and show that accuracy can be improved systema...
Contamination of the Accuracy of the Combined-Field Integral Equation With the Discretization Error of the Magnetic-Field Integral Equation
Gurel, Levent; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2009-09-01)
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. Solutio...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
L. Gurel and Ö. S. Ergül, “Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns,”
ELECTRONICS LETTERS
, pp. 499–500, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42788.