Journal Articles
  1.  Y. Brick and A. Boag, “Multilevel non-uniform grid algorithm for acceleration of integral equation based solvers for acoustic scattering,” IEEE Trans. Ultrason. Ferroelect. Freq. Control, vol. 57, no. 1, pp. 262-273, Jan. 2010.

  2. Y. Brick and A. Boag, “Fast direct solution of 3D scattering problems via NG-based matrix compression,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 58, no. 11, pp. 2405-2417, Nov. 2011.
  3. Y. Brick, V. Lomakin, and A. Boag, “Fast Green's function evaluation for sources and observers near smooth convex bodies,” IEEE Trans. Antennas Propag., vol. 62, no. 6, pp. 3374 – 3378, June 2014.
  4. A. Gendelman, Y. Brick, and A. Boag, “Multilevel physical optics algorithm for near field scattering,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4325-4335, Aug. 2014.
  5. Y. Brick, V. Lomakin, and A. Boag, “Fast direct solver for essentially convex scatterers using multilevel non-uniform grids,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4314-4324, Aug. 2014.
  6. M. Roudstein, Y. Brick, and A. Boag, “Fast multilevel physical optics algorithm for near-field double-bounce scattering,” IEEE Trans. Antennas Propag., vol. 63, no. 11, pp. 5015-5025 Nov. 2015.
  7. E. Chernokozhin, Y. Brick, and A. Boag, “A fast and stable solver for acoustic scattering problems based on nonuniform grid approach,” J. Acoust. Soc. Am., vol. 139, no. 1, pp. 472-480, Jan. 2016.
  8. A. Gergel, Y. Brick, and A. Boag, “Fast antenna diagnosis algorithm using oblate spheroidal non-uniform grids,” IEEE Trans. Antennas Propag., vol. 64, no. 10, pp. 4197-4207, Aug. 2016.
  9. Y. Brick and A. E. Yilmaz, “Fast multilevel computation of low-rank representation of H-matrix blocks,”  IEEE Trans. Antennas Propag., vol. 64, no. 12, pp. 5326-5334, Dec. 2016.
  10. Y. Brick and A. E. Yilmaz, “Corrections to “Fast multilevel computation of low-rank representation of H-matrix blocks”,” IEEE Trans. Antennas Propag., vol. 66, no. 6, pp. 3315, June 2017
  11. P. Zhang, Y. Brick, and M. M. Sharma, “Numerical study of an electrode-based resistivity tool for fracture diagnostics in steel-cased wellbores,” Geophysics, vol. 83 no. 2, pp. D41-D48, Mar. 2018.
  12. I. Gershenzon, Y. Brick, and A. Boag, “Shadow radiation iterative physical optics method for high-frequency scattering,” IEEE Trans. Antennas Propag., vol. 66, no.2., pp. 871-883, Feb. 2018.
  13. J. Shiriyev, Y. Brick, P. Zhang, A. E. Yilmaz, C. Torres-Verdín, M. M. Sharma, T. Hosbach, M. A Oerkfitz, and J. Gabelmann, “Experiments and simulations of a prototype tri-axial electromagnetic induction logging tool for hydraulic fracture diagnostics,” Geophysics, vol 83 no. 3, pp. D73-D81, Mar. 2018.
  14. Y. Brick and A. E. Yilmaz, “Rapid low-rank approximation and rank estimation of impedance matrix blocks using proxy grids,” vol. 66, no.10., pp. 5359-5369, Oct. 2018.
  15. A. Sharshevsky, Y. Brick, and A. Boag, “Generalized Source Integral Equation Fast Direct Solver,” in preparation toward submission to IEEE Trans. Antennas Propag.
Conference Papers
  1. Y. Brick and A. Boag, “3D Multilevel non-uniform grid algorithm for fast field evaluation,” Proc. IEEE Antennas Propag. Int. Symp., Albuquerque, NM, July 2006.

  2. Y. Brick and A. Boag, “3D Non-uniform grid algorithm for the compression of non-symmetric MoM matrices,” Proc.  URSI Commission B Electromagn. Theory Symp. - EMTS 2010, Berlin, Germany, Aug. 2010.

  3. H. G. Espinosa, Y. Brick, A. Boag, and J. M. Rius, “Software framework for integration of method of moments kernels with the Adaptive Cross Approximation (ACA) algorithm,” Proc.  IEEE 26th Conv. of Elect. Electron. Eng.  Israel (IEEEI) 2010, Eilat, Israel, Nov. 2010.

  4. Y. Brick, V. Lomakin, and A. Boag, “Fast direct solver based on the generalized equivalence integral equation,Proc. URSI Commission B Electromagn.Theory Symp. - EMTS 2013, Hiroshima, Japan, May 2013.

  5. A. Gendelman, Y. Brick, and A. Boag, “Fast computation of physical optics scattering in the near field,” ICEAA 2013 – Int. Conf. Electromagn. Adv.Applicat., Turin, Italy, Sept. 2013.

  6. Y. Brick, V. Lomakin, and A. Boag, “Multilevel compression of matrices representing generalized equivalence integral equations,” ICEAA 2013 – Int. Conf. Electromagn. Adv.Applicat., Turin, Italy, Sept. 2013.

  7. Y. Brick, A. Boag, R. D. Graglia, G. Lombardi, and L. Matekovits, “Fast surface integral equation solver based on NG‐accelerated method of moments,” ICEAA 2014 – Int. Conf. Electromagn. Adv.Applicat., Aruba, Aug. 2014.

  8. A. Sharshevsky, Y. Brick, V. Lomakin, and A. Boag, “Fast direct solver based on directive source integral equation,” ICEAA 2014 – Int. Conf. Electromagn. Adv.Applicat., Aruba, Aug. 2014.

  9. A. Gergel, Y. Brick, and A. Boag, “2D and 3D sampling schemes for fast multilevel field back‐propagation algorithm,” ICEAA 2014 – Int. Conf. Electromagn. Adv.Applicat., Aruba, Aug. 2014.

  10. Y. Brick, V. Lomakin, and A. Boag, “GEIE‐based fast direct solver for essentially convex scatterers,” ICEAA 2014 – Int. Conf. Electromagn. Adv.Applicat., Aruba, Aug. 2014.

  11. E. Chernokozhin, Y. Brick, and A. Boag “An NG-based algorithm for a combined­ field integral formulation,” EuCAP 2015 - The 9th European Conf.  Antennas Propag., Lisbon, Portugal, Apr. 2015.

  12. I. Gershenzon, Y. Brick, and A. Boag “Iterative physical optics (IPO) with integral evaluation of self-shadowing,” IEEE COMCAS 2015 Int.Conf. Microw. Commun. Antennas Electron. Sys., Tel Aviv, Israel Nov. 2015.

  13. P. Zhang, Y. Brick, J. Shiriyev, J. Massey, A. E. Yilmaz, C. Torres-Verdin, and M. Sharma, “Fracture diagnostics using a low frequency electromagnetic induction method,” 50th Rock Mechanics/Geomechanics Symp. – ARMA 2016, Houston, TX, June 2016.

  14. I. Gershenzon, Y. Brick, and A. Boag, “Fast iterative physical optics with shadowing,” IEEE Int. Symp. Antennas Propag., Fajardo, PR, June 2016.

  15. E. Chernokozhin, Y. Brick, A. Boag, R. D. Graglia, G. Lombardi, and L. Matekovits, “Multilevel nonuniform-grid algorithm for electromagnetic scattering problems,” IEEE Int. Symp. Antennas Propag., Fajardo, PR, June 2016.

  16. A. Sharshevsky, Y. Brick, and A. Boag, “Fast computation of modified Green’s functions for generalized source integral equation solvers,” URSI Commission B Electromagn. Theory Symp. – EMTS 2016, Espoo, Finland, Aug. 2016.

  17. C. Letrou, I. Gershenzon, Y. Brick, and A. Boag, “Physical optics versus Gaussian beam shooting for shadow field analysis in high frequency regime,” URSI Commission B Electromagn. Theory Symp. – EMTS 2016, Espoo, Finland, Aug. 2016.

  18. A. Menshov, Y. Brick, C. Torres-Verdin, and A. E. Yilmaz, “Recent progress in rigorous algorithms for the fast solution of 3-D EM frequency-domain integral equations,” Proc. 6th Int. Symp. 3D Electromag., Berkeley, CA, Mar. 2017.

  19. Y. Brick and A. E. Yılmaz, “Accelerated randomized vs. deterministic algorithms for MoM blocks’ low-rank factorization impedance matrix blocks,” in IEEE AP-S Int. Symp., July 2017.

  20. A. Gershenzon, Y. Brick, and A. Boag, “Convergence analysis for iterative physical optics algorithm,” in IEEE AP-S Int. Symp., July 2017.

  21. A. Sharshevsky, Y. Brick, and A. Boag, “Generalized source integral equation,” in ICEAA 2017 – Int. Conf. Electromagn. Adv. Applicat., Verona, Italy, Oct. 2017.

  22. J. Kelly, Y. Brick, and A. E. Yılmaz, “On rapid estimation of impedance-matrix ranks via grid-based techniques,” in IEEE AP-S Int. Symp., July 2018.

  23. J. Kelly, T. Yao, Y. Brick, and A. E. Yılmaz, “Implications of re-compression for grid-based low-rank approximation techniques,” in IEEE AP-S Int. Symp., July 2019.

Conference Abstracts
  1. Y. Brick and A. Boag, “Scattering analysis accelerated by a 3D multilevel non-uniform grid field evaluation algorithm,” 154th Meeting Acoust. Soc. Am., New Orleans, LA, Nov. 2007.

  2. Y. Brick and A. Boag, “Non-uniform grid based acceleration of iterative and direct solvers for integral equations of acoustic scattering,” Proc. URSI Radio Sci. Meeting, Charleston, SC, June 2009.

  3. Y. Brick and A. Boag, “Fast direct integral equation-based analysis for acoustic scattering using non-uniform grid accelerated matrix compression,” 162nd Meeting of the Acoustical Society of America, San Diego, CA, Nov. 2011.

  4. Y. Brick, V. Lomakin, and A. Boag, “Multilevel Direct Solver for the Generalized Equivalence Integral Equation,” Proc. URSI Radio Sci. Meeting, Orlando, FL, July 2013.

  5. Y. Brick, V. Lomakin, and A. Boag, “Fast direct solvers based on generalized surface integral formulations for essentially convex scattering problems,” Proc. URSI Radio Sci. Meeting, Memphis, TN, July 2014. 

  6. M. Roudstein, Y. Brick, and A. Boag, “Fast computation of double bounce contributions to physical optics integrals in the near field,” Proc. URSI Radio Sci. Meeting, Vancouver, Canada, July 2015.

  7. Y. Brick, V. Subramanian, and A. E. Yilmaz, “Rank deficiency of impedance matrix blocks for layered media,” Proc. URSI Radio Sci. Meeting, Vancouver, Canada, July 2015.

  8. E. Chernokozhin, Y. Brick, A. Boag, R. D. Graglia, G. Lombardi, and L. Matekovits “Multilevel nonuniform-grid algorithm for EM scattering problems,” Finite Elements Microw. Eng – FEM2016, Firenze, Italy, May 2016.

  9. Y. Brick and A. E. Yilmaz, “Impedance matrix blocks low-rank approximation using non-uniform sampling methods,” URSI Radio Sci. Meeting, Fajardo, PR, June 2016.

  10. A. Menshov, Y. Brick, and A. E. Yilmaz, “A fast direct integral-equation solver for hydraulic fracture diagnosis,” URSI Radio Sci. Meeting, Fajardo, PR, June 2016.

  11. J. Massey, Y. Brick, A. Boag, and A. E. Yilmaz, “A Schur-complement method for integral-equation analysis of antennas near anatomical human models,” URSI Radio Sci. Meeting, Fajardo, PR, June 2016.

  12. Y. Brick, J. Massey, K. Yang, and A. E. Yilmaz, “All multiscale problems are hard, some are harder: a nomenclature for classifying multiscale electromagnetic problems,” URSI Radio Sci. Meeting, Fajardo, PR, June 2016.

  13. A. Sharshevsky, Y. Brick, and A. Boag, “Compressible integral equation formulations towards general fast direct solvers,” URSI Radio Sci. Meeting, Fajardo, PR, June 2016.

  14. Y. Brick, “Low-rank and butterfly compressibility of moment matrix blocks,” URSI Radio Sci. Meeting, Atlanta, GA, July 2018.