Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
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
Numerical Design of Testing Functions for the Magnetic-Field Integral Equation
Date
2016-04-15
Author
Karaosmanoglu, Bariscan
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
64
views
0
downloads
Cite This
We present a novel numerical approach to design testing functions for the magnetic-field integral equation (MFIE). Enforcing the compatibility of matrix equations derived from MFIE and the electric-field integral equation (EFIE) for the same problem, testing weights for MFIE are determined on given templates of testing functions. The resulting MFIE systems produce more accurate results that the conventional MFIE implementations, without increasing the number of iterations and processing time. The design procedure can also be used for more general cases, e.g., for dielectric objects, where the behavior of different integral equations have been well studied and identified.
Subject Keywords
Integral equations
,
Iterative solutions
,
Magnetic-field integral equation
,
Method of moments
,
Testing functions
URI
https://hdl.handle.net/11511/48773
DOI
https://doi.org/10.1109/eucap.2016.7481383
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
Suggestions
OpenMETU
Core
Improving the Accuracy of MFIE and CFIE by Using Numerically Designed Testing Functions
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2016-07-01)
We present a novel approach for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) by using numerically designed testing functions. The compatibility of the MFIE and CFIE systems with the corresponding one derived from the electric-field integral equation (EFIE) is used to determine testing weights in given templates of testing directions. The designed testing functions lead to more accurate solutions in comparison to the standard discretiza...
Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns
Malas, Tahir; Ergül, Özgür Salih; Gurel, Levent (2007-11-09)
We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field integral equation, which is the only integral-equation formulation for targets having open surfaces. For moderate-size problems, iterative solution of the neat-field system enables much faster convergence compared to the widely used sparse approximate inverse preconditioner. For larg...
Numerical Constructions of Testing Functions for Improving the Accuracy of MFIE and CFIE in Multi-Frequency Applications
Karaosmanoglu, Bariscan; Altinoklu, Askin; Ergül, Özgür Salih (EMW Publishing, 2016-01-01)
We present a new approach based on numerical constructions of testing functions for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) with low-order discretizations. Considering numerical solutions, testing functions are designed by enforcing the compatibility of the MFIE systems with the accurate coefficients obtained by solving the electric-field integral equation (EFIE). We demonstrate the accuracy improvements on scattering problems, wh...
Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations
Ergül, Özgür Salih (2007-04-01)
We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving closed conductors. We consider the solutions of relatively large scattering problems by employing the multilevel fast multipole algorithm. Accuracy problems of MFIE and CFIE arising from their implementations with the conventional Rao-Wilton-Glisson (RWG) basis functions can...
Solving Fokker-Planck Equation By Two-Dimensional Differential Transform
Cansu Kurt, Ümmügülsüm; Ozkan, Ozan (2011-07-29)
In this paper, we implement a reliable algorithm to obtain exact solutions for Fokker-Planck equation and some similar equations. The approach rests mainly on two dimensional differential transform method which is one of the approximate methods. The method can easily be applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions are obtained easily without linearizing the problem. Some illustrative examples are given to demonstrate the effectivene...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
B. Karaosmanoglu and Ö. S. Ergül, “Numerical Design of Testing Functions for the Magnetic-Field Integral Equation,” 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48773.