Ö. Ergül and L. Gürel, “Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm,” J. Opt. Soc. Am. A., vol. 30, no. 3, pp. 509–517, Mar. 2013.  View More

Ö. Ergül and L. Gürel, “Accurate solutions of extremely large integral-equation problems in computational electromagnetics,” IEEE Proceedings, vol. 101, no. 2, pp. 342–349, Feb. 2013.  View More

Ö. Ergül, “Analysis of composite nanoparticles with surface integral equations and the multilevel fast multipole algorithm,” J. Opt., vol. 14, no. 6, pp. 062701-1–062701-4, Jun. 2012.  View More

Ö. Ergül, “Fast and accurate solutions of electromagnetics problems involving lossy dielectric objects with the multilevel fast multipole algorithm,” Eng. Anal. Bound. Elem., vol. 36, no. 3, pp. 423–432, Mar. 2012.  View More

Ö. Ergül, “Parallel implementation of MLFMA for homogeneous objects with various material properties,” Prog. Electromagn. Res., vol. 121, pp. 505–520, 2011.  View More

Ö. Ergül, “Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm,” J. Opt. Soc. Am. A., vol. 28, no. 11, pp. 2261–2268, Nov. 2011.  View More

Ö. Ergül and L. Gürel, “Rigorous solutions of electromagnetic problems involving hundreds of millions of unknowns,” IEEE Antennas Propag. Mag., vol. 53, no. 1, pp. 18–27, Feb. 2011.  View More

L. Gürel and Ö. Ergül, “Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns,” Electron. Lett., vol. 43, no. 9, pp. 499–500, Apr. 2007.  View More

L. Gürel and Ö. Ergül, “Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA),” IEEE Proceedings, vol. 101, no. 2, pp. 332–341, Feb. 2013.  View More

Ö. Ergül and L. Gürel, “A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag., vol. 57, no. 6, pp. 1740–1750, Jun. 2009.  View More

Ö. Ergül and L. Gürel, “Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems,” IEEE Trans. Antennas Propag., vol. 56, no. 8, pp. 2335–2345, Aug. 2008.  View More

Ö. Ergül and L. Gürel, “Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics,” Electron. Lett., vol. 44, no. 1, pp. 3–5, Jan. 2008.  View More

Ş. Yazar and Ö. Ergül, “Design and optimization of nanooptical couplers based on photonic crystals involving dielectric rods of varying lengths,” Turk. J. Elec. Eng. & Comp. Sci., vol. 30, no. 6, pp. 2339–2354, Dec. 2022.  View More

B. Karaosmanoğlu, H. Eray, and Ö. Ergül, “Full-wave optimization of three-dimensional photonic-crystal structures involving dielectric rods,” J. Opt. Soc. Am. A., vol. 37, no. 7, pp. 1103–1113, Jul. 2018.  View More

G. Karaova, A. Altınoklu, and Ö. Ergül, “Full-wave electromagnetic optimisation of corrugated metallic reflectors using a multigrid approach,” Sci. Rep., vol. 8, no. 1267, Jan. 2018.  View More

A. Altınoklu, B. Karaosmanoğlu, and Ö. Ergül, “Electromagnetic optimization of corrugated metallic sheets for maximum power focusing,” J. Electromagn. Waves Appl., vol. 31, no. 8, pp. 837–849, Apr. 2017.  View More

C. Önol, S. Alkıs, Ö. Gökçe, and Ö. Ergül, “Multifrequency and multidirection optimizations of antenna arrays using heuristic algorithms and the multilevel fast multipole algorithm,” Radio Sci., vol. 51, no. 7, pp 1094–1108, Jul. 2016.  View More

C. Önol, B. Karaosmanoğlu, and Ö. Ergül, “Efficient and accurate electromagnetic optimizations based on approximate forms of MLFMA,” IEEE Antennas Wireless Propag. Lett., vol. 15, pp. 1113–1115, Apr. 2016.  View More

C. Önol and Ö. Ergül, “Optimizations of patch antenna arrays using genetic algorithms supported by the multilevel fast multipole algorithm,” Radioengineering, vol. 23, no. 4, pp. 1005–1014, Dec. 2014.  View More

L. Gürel and Ö. Ergül, “Design and simulation of circular arrays of trapezoidal-tooth log-periodic antennas via genetic optimization,” Prog. Electromagn. Res., vol. 85, pp. 243–260, 2008.  View More

Ö. Ergül and L. Gürel, “Modeling and synthesis of circular-sectoral arrays of log-periodic antennas using multilevel fast multipole algorithm and genetic algorithms,” Radio Sci., vol. 42, RS3018, Jun. 2007.  View More

G. Işıklar, Ş. Yazar, H. İbili, G. Onay, Z. El Ahdab, and Ö. Ergül, “Computational design of nanoantennas with improved power enhancement capabilities via shape optimization,” Optical Eng., vol. 62, no. 015107, Jan. 2023.  View More

A. Altınoklu and Ö. Ergül, “Design, optimization, and analyses of nano-optical couplers consisting of nanocubes to construct efficient nanowire transmission systems,” Prog. Electromagn. Res. C, vol. 113, pp. 13–27, May 2021.  View More

B. Karaosmanoğlu, E. Tuygar, U. Topçuoglu, and Ö. Ergül, “Improving the absorption of solar cells using antenna-inspired cavities,” Microw. Opt. Technol. Lett., vol. 61, no. 8, pp. 1924–1930, Aug. 2019.  View More

A. Altınoklu and Ö. Ergül, “Design and optimization of two-dimensional nano-arrays for directive radiation,” ACES J., vol. 34, no. 2, pp. 347–351, Feb. 2019.  View More

A. Altınoklu and Ö. Ergül, “Nano-optical couplers for efficient power transmission along sharply bended nanowires,” ACES J., vol. 34, no. 2, pp. 228–233, Feb. 2019.  View More

G. Isıklar, I. C. Çetin, M. Algun, and Ö. Ergül, “Design and analysis of nanoantenna arrays for imaging and sensing applications at optical frequencies,” Advanced Electromagnetics, vol. 8, no. 2, pp. 18–27, Feb. 2019.  View More

Ş. Yazar, et al., “Efficient and accurate electromagnetic analysis of three-dimensional nano-optical structures,” Materials Sci. Forum, vol. 915, pp. 202–206, Mar. 2018.  View More

H. A. Şatana, B. Karaosmanoğlu, and Ö. Ergül, “A comparative study of nanowire arrays for maximum power transmission,” in Nanowires, K. Maaz, Ed. InTech, 2017, pp. 233–253.  View More

Y. E. Tunçyürek, B. Karaosmanoğlu, and Ö. Ergül, “Computational design of optical couplers for bended nanowire transmission lines,” ACES J., vol. 32, no. 7, pp. 562–568, Jul. 2017.  View More

A. Yılmaz, B. Karaosmanoğlu, and Ö. Ergül, “Computational electromagnetic analysis of deformed nanowires using the multilevel fast multipole algorithm,” Sci. Rep., vol. 5, no. 8469, Feb. 2015.  View More

Ö. Eriş and Ö. Ergül, “Design, simulation, and measurement of near-zero-index shells for electromagnetic beam generation,” J. Electromagn. Waves Appl., vol. 38, no. 2, pp. 213–233, 2024.  View More

Ö. Ergül, “Fast and accurate analysis of homogenized metamaterials with the surface integral equations and MLFMA,” IEEE Antennas Wireless Propag. Lett., vol. 10, pp. 1286–1289, 2011.  View More

Ö. Ergül, T. Malas, and L. Gürel, “Analysis of dielectric photonic-crystal problems with MLFMA and Schur-complement preconditioners,” J. Lightwave Technol., vol. 29, no. 6, pp. 888–897, Mar. 2011.  View More

Ö. Ergül and L. Gürel, “Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole algorithm,” Prog. Electromagn. Res., vol. 108, pp. 81–99, 2010.  View More

L. Gürel, Ö. Ergül, A. Ünal, and T. Malas, “Fast and accurate analysis of large metamaterial structures using the multilevel fast multipole algorithm,” Prog. Electromagn. Res., vol. 95, pp. 179–198, 2009.  View More

B. Karaosmanoğlu and Ö. Ergül, “Modified combined tangential formulation for stable and accurate analysis of plasmonic structures,” ACES J., vol. 34, no. 5, pp. 811–814, May 2019.  View More

A. Çekinmez, B. Karaosmanoğlu, and Ö. Ergül, “Integral-equation formulations of plasmonic problems in the visible spectrum and beyond,” in Dyn. Sys. - Analytical and Computational Techniques, M. Reyhanoglu, Ed. InTech, 2017, pp. 191–214.  View More

B. Karaosmanoğlu, A. Yılmaz, and Ö. Ergül, “A comparative study of surface integral equations for accurate and efficient analysis of plasmonic structures,” IEEE Trans. Antennas Propag., vol. 65, no. 6, pp. 3049–3057, Jun. 2017.  View More

B. Karaosmanoğlu, A. Yılmaz, U. M. Gür, and Ö. Ergül, “Solutions of plasmonic structures using the multilevel fast multipole algorithm,” Int. J. RF Microwave Comput.-Aided. Eng., vol. 26, no. 4, pp. 335–341, May 2016.  View More

Ö. Eris, H. Ibili, and Ö. Ergül, “Low-cost inkjet-printed multiband frequency-selective structures consisting of U-shaped resonators,” Prog. Electromagn. Res. C, vol. 98, pp. 31–44, Jan. 2020.  View More

H. Ibili, B. Karaosmanoğlu, and Ö. Ergül, “Demonstration of negative refractive index with low-cost inkjet-printed microwave metamaterials,” Microw. Opt. Technol. Lett., vol. 60, no. 1, pp. 187–191, Jan. 2018.  View More

F. Mutlu, C. Önol, B. Karaosmanoğlu, and Ö. Ergül, “Inkjet-printed cage-dipole antennas for radio-frequency applications,” IET Microwaves, Antennas & Propagation, vol. 11, no. 14, pp. 2016–2020, Nov. 2017.  View More

S. Güler, B. Karaosmanoğlu, and Ö. Ergül, “Design, simulation, and fabrication of a novel type of inkjet-printed pixel antennas,” PIER Lett., vol. 64, pp. 51–55, Nov. 2016.  View More

Ö. Ergül, B. Khalichi, and V. B. Ertürk, “Kernel-based fast factorization techniques,” in Integral Equations for Real-Life Multiscale Electromagnetic Problems, F. Vipiana and Z. Peng, Eds. IET, 2023, pp. 75–123.

M. Kalfa, V. B. Ertürk, and Ö. Ergül, “Error analysis of MLFMA with closed-form expressions,” IEEE Trans. Antennas Propag., vol 69, no. 10, pp. 6618–6623, Oct. 2021. View More

B. Karaosmanoglu and Ö. Ergül, “Acceleration of MLFMA simulations using trimmed tree structures,” IEEE Trans. Antennas Propag., vol. 69, no. 1, pp. 356–365, Jan. 2021.  View More

M. Kalfa, Ö. Ergül, and V. B. Ertürk, “Error control of multiple-precision MLFMA,” IEEE Trans. Antennas Propag., vol. 66, no. 10, pp. 5651–5656, Oct. 2018.  View More

Ö. Ergül, I. van den Bosch, and L. Gürel, “Two-step Lagrange interpolation method for the multilevel fast multipole algorithm,” IEEE Antennas Wireless Propag. Lett., vol. 8, pp. 69–71, 2009.  View More

Ö. Ergül and L. Gürel, “Optimal interpolation of translation operator in multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag., vol. 54, no. 12, pp. 3822–3826, Dec. 2006.  View More

Ö. Ergül and L. Gürel, “Enhancing the accuracy of the interpolations and anterpolations in MLFMA,” IEEE Antennas Wireless Propag. Lett., vol. 5, pp. 467–470, 2006.  View More

A. Farshkaran and Ö. Ergül, “Implementation of the equivalence principle algorithm for potential integral equations,” IEEE Trans. Antennas Propag., vol. 67, no. 5, pp. 3249–3255, May 2019.  View More

U. M. Gür and Ö. Ergül, “Accuracy of sources and near-zone fields when using potential integral equations at low frequencies,” IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 2783–2786, 2017.  View More

Ö. Ergül and B. Karaosmanoğlu, “Approximate stable diagonalization of the Green’s function for low frequencies,” IEEE Antennas Wireless Propag. Lett., vol. 13, pp. 1054–1056, 2014.  View More

Ö. Ergül and B. Karaosmanoğlu, “Low-frequency fast multipole method based on multiple-precision arithmetic,” IEEE Antennas Wireless Propag. Lett., vol. 13, pp. 975–978, 2014.  View More

M. Kalfa, Ö. Ergül, and V. B. Ertürk, “Multiple-precision arithmetic implementation of the multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag., vol. 72, no. 1, pp. 11–21, Jan. 2024.  View More

Ö. Eriş, G. Karaova, and Ö. Ergül, “A novel combined potential-field formulation for densely discretized perfectly conducting objects,” IEEE Trans. Antennas Propag., vol. 70, no. 6, pp. 4645–4654, Jun. 2022.  View More

B. Khalichi, Ö. Ergül, M. Takrimi, and V. B. Ertürk, “Broadband analysis of multiscale electromagnetic problems: Novel incomplete-leaf MLFMA for potential integral equations,” IEEE Trans. Antennas Propag., vol. 69, no. 12, pp. 9032–9037, Dec. 2021.  View More

B. Khalichi, Ö. Ergül, and V. B. Ertürk, “Broadband solutions of potential integral equations with NSPWMLFMA,” IEEE Trans. Antennas Propag., vol. 67, no. 6, pp. 4307–4312, Jun. 2019.  View More

M. Takrimi, Ö. Ergül, and V. B. Ertürk, “Incomplete-leaf multilevel fast multipole algorithm for multiscale penetrable objects formulated with volume integral equations,” IEEE Trans. Antennas Propag., vol. 65, no. 9, pp. 4914–4918, Sep. 2017.  View More

M. Takrimi, Ö. Ergül, and V. B. Ertürk, “A novel broadband multilevel fast multipole algorithm with incomplete-leaf tree structures for multiscale electromagnetic problems,” IEEE Trans. Antennas Propag., vol. 64, no. 6, pp. 2445–2456, Jun. 2016.  View More

Ö. Ergül and B. Karaosmanoğlu, “Broadband multilevel fast multipole algorithm based on an approximate diagonalization of the Green’s function,” IEEE Trans. Antennas Propag., vol. 63, no. 7, pp. 3035–3041, Jul. 2015.  View More

H. İbili, Y. Koyaz, U. Özmü, B. Karaosmanoğlu, and Ö. Ergül, “A novel surface-integral-equation formulation for efficient and accurate electromagnetic analyses of near-zero-index structures,” J. Opt., vol. 24, no. 035601, Jan. 2022.  View More

B. Karaosmanoğlu and Ö. Ergül, “Generalized hybrid surface integral equations for finite periodic perfectly conducting objects,” IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 1068–1071, 2017.  View More

B. Karaosmanoğlu and Ö. Ergül, “EFIE-tuned testing functions for MFIE and CFIE,” IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 968–970, 2017.  View More

B. Karaosmanoğlu, A. Altınoklu, and Ö. Ergül, “Numerical constructions of testing functions for improving the accuracy of MFIE and CFIE in multi-frequency applications,” Prog. Electromagn. Res. M, vol. 51, pp. 63–70, Oct. 2016.  View More

A. E. Ofluoglu, T. Çiftçi, and Ö. Ergül, “Magnetic-field integral equation,” IEEE Antennas Propag. Mag., vol. 57, no. 4, pp. 134–142, Aug. 2015.  View More

Ö. Ergül and L. Gürel, “Discretization error due to the identity operator in surface integral equations,” Comput. Phys. Comm., vol. 180, no. 10, pp. 1746–1752, Oct. 2009.  View More

L. Gürel and Ö. Ergül, “Contamination of the accuracy of the combined-field integral equation with the discretization error of the magnetic-field integral equation,” IEEE Trans. Antennas Propag., vol. 57, no. 9, pp. 2650–2657, Sep. 2009.  View More

Ö. Ergül and L. Gürel, “Iterative solutions of hybrid integral equations for coexisting open and closed surfaces,” IEEE Trans. Antennas Propag., vol. 57, no. 6, pp. 1751–1758, Jun. 2009.  View More

Ö. Ergül and L. Gürel, “Novel electromagnetic surface integral equations for highly accurate computations of dielectric bodies with arbitrarily low contrasts,” J. Comput. Phys., vol. 227, no. 23, pp. 9898–9912, Dec. 2008.  View More

Ö. Ergül and L. Gürel, “Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects,” IEEE Trans. Antennas Propag., vol. 56, no. 3, pp. 799–805, Mar. 2008.  View More

Ö. Ergül and L. Gürel, “Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations,” IEEE Trans. Antennas Propag., vol. 55, no. 4, pp. 1103–1110, Apr. 2007.  View More

L. Gürel and Ö. Ergül, “Extending the applicability of the combined-field integral equation to geometries containing open surfaces,” IEEE Antennas Wireless Propag. Lett., vol. 5, pp. 515–516, 2006.  View More

Ö. Ergül and L. Gürel, “Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions,” Radio Sci., vol. 41, RS4004, Jul. 2006.  View More

Ö. Ergül and L. Gürel, “The use of curl-conforming basis functions for the magnetic-field integral equation,” IEEE Trans. Antennas Propag., vol. 54, no. 7, pp. 1917–1926, Jul. 2006.  View More

Ö. Ergül and L. Gürel, “Improved testing of the magnetic-field integral equation,” IEEE Microw. Wireless Comp. Lett., vol. 15, no. 10, pp. 615–617, Oct. 2005.  View More

Ö. Ergül and L. Gürel, “Solid-angle factor in the magnetic-field integral equation,” Microw. Opt. Technol. Lett., vol. 45, no. 5, pp. 452–456, Jun. 2005.  View More

L. Gürel and Ö. Ergül, “Singularity of the magnetic-field integral equation and its extraction,” IEEE Antennas Wireless Propag. Lett., vol. 4, pp. 229–232, 2005.  View More

C. Önol, A. Üçüncü, and Ö. Ergül, “Efficient multilayer iterative solutions of electromagnetic problems using approximate forms of the multilevel fast multipole algorithm,” IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 3253–3256, 2017.  View More

Ö. Ergül and L. Gürel, “Improving iterative solutions of the electric-field integral equation via transformations into normal equations,” J. Electromagn. Waves Appl., vol. 24, no. 16, pp. 2129–2138, 2010.  View More

Ö. Ergül, T. Malas, and L. Gürel, “Solutions of large-scale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms,” Prog. Electromagn. Res., vol. 106, pp. 203–223, 2010.  View More

Ö. Ergül and L. Gürel, “Efficient solution of the electric-field integral equation using the iterative LSQR algorithm,” IEEE Antennas Wireless Propag. Lett., vol. 7, pp. 36–39, 2008.  View More

B. Karaosmanoğlu and Ö. Ergül, “Visual result prediction in electromagnetic simulations using machine learning,” IEEE Antennas Wireless Propag. Lett., vol. 18, no. 11, pp. 2264–2266, Nov. 2019.  View More

Ö. Ergül and L. Gürel, “Rigorous analysis of double-negative materials with the multilevel fast multipole algorithm,” ACES J., vol. 27, no. 2, pp. 161–168, Feb. 2012.  View More

Ö. Ergül and L. Gürel, “Efficient solution of the electric and magnetic current combined-field integral equation with the multilevel fast multipole algorithm and block-diagonal preconditioning,” Radio Sci., vol. 44, RS6001,  Nov. 2009.  View More

Ö. Ergül and L. Gürel, “Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag., vol. 57, no. 1, pp. 176–187, Jan. 2009.  View More

G. Karaova and Ö. Ergül, “Design, fabrication, and measurement of efficient beam-shaping reflectors for 5G applications,” IEEE Trans. Antennas Propag., vol. 70, no. 12, pp. 11335–11343, Dec. 2022.  View More

E. Çetin, M. B. Şahin, and Ö. Ergül, “Numerical study of chipless tags for radio-frequency-identification (RFID) applications,” Advanced Electromagnetics, vol. 8, no. 2, pp. 10–17, Feb. 2019.  View More

B. Karaosmanoğlu, S. Küçük, and Ö. Ergül, “Fine-tuning snowflake fractal antennas,” Int. J. Numer. Model., vol. 30, no. 6, e2212, Nov./Dec. 2017.  View More

Ö. Ergül, A. Arslan-Ergül, and L. Gürel, “Computational study of scattering from healthy and diseased red blood cells,” J. Biomed. Opt., vol. 15, no. 4, 045004-1–045004-8, Jul./Aug. 2010.  View More

Ö. Ergül and L. Gürel, “Nonplanar trapezoidal tooth log-periodic antennas: design and electromagnetic modeling,” Radio Sci., vol. 40, RS5010, Oct. 2005.  View More