Numerical Constructions of Testing Functions for Improving the Accuracy of MFIE and CFIE in Multi-Frequency Applications

Karaosmanoglu, Bariscan
Altinoklu, Askin
Ergül, Özgür Salih
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, where the testing functions are designed at a single frequency and used in frequency ranges to benefit from the design procedure. The proposed approach is easy to implement by using existing codes, while it improves the accuracy of MFIE and CFIE without deteriorating the efficiency of iterative solutions.


Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01)
We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...
Ergül, Özgür Salih (Informa UK Limited, 2010-01-01)
We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the G...
Unified theory of linear instability of anisotropic surfaces and interfaces under capillary, electrostatic, and elastostatic forces: The regrowth of epitaxial amorphous silicon
Ogurtani, Tarik Omer (American Physical Society (APS), 2006-10-01)
The first-order unified linear instability analysis (LISA) of the governing equation for the evolution of surfaces and interfaces under capillary, electromigration (EM), and elastostatic forces is developed. A formal treatment of the thermomigration (Soret effect) driven by the nonuniform temperature distribution caused by exothermic phase transformation (growth) at the surface and interfacial layers is presented and its apparent influence on the capillary force in connection with the stability is also esta...
An efficient solution of the generalized eigenvalue problems for planar transmission lines
Prakash, VVS; Kuzuoğlu, Mustafa; Mittra, R (Wiley, 2001-11-05)
This paper presents an efficient solution for solving the generalized eigenvalue equation arising in the finite-element (FE) formulation of propagation characterization of planar transmission-line structures. A two-dimensional (2-D) finite-element method (FEM) is used for analyzing the uniform planar transmission lines. The Arnoldi algorithm is used in conjunction with the multifrontal decomposition of the system matrix for solving the eigensystem. Convergence is typically obtained within a few iterations o...
Critical behaviour of the polarization, tilt angle, electric susceptibility and the specific heat close to the SmA-ferroelectric SmC (SmC*) phase transitions
Yurtseven, Hasan Hamit; Kilit, E. (Informa UK Limited, 2006-01-01)
This study gives the temperature dependence of the two order parameters, namely, polarization P and the tilt angle theta, when there is a biquadratic coupling P-2 theta(2) in the expansion of the Landau free energy. This applies to the electric-field-induced SmA-Ferro-Electric SmC (SmC*) phase transition. From this expansion of the Landau free energy in terms of the polarization and the tilt angle, we obtain the temperature dependence of the electric susceptibility chi and the electric field dependence of t...
Citation Formats
B. Karaosmanoglu, A. Altinoklu, and Ö. S. Ergül, “Numerical Constructions of Testing Functions for Improving the Accuracy of MFIE and CFIE in Multi-Frequency Applications,” PROGRESS IN ELECTROMAGNETICS RESEARCH M, pp. 63–70, 2016, Accessed: 00, 2020. [Online]. Available: