Selected Papers:

  • N.B. Murphy, E. Cherkaev, J. Zhu, J. Xin, K. Golden, Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows, CAM 15-63, UCLA, 2015. Annals of Mathematical Sciences and Applications, in print (pdf file)

  •  N.B. Murphy, E. Cherkaev, J. Zhu, J. Xin, K. Golden, Spectral analysis and computation of effective diffusivities for steady random flows, submitted, 2016 

  • B. Osting, J. Marzuola, E. Cherkaev, An Isoperimetric inequality for an integral operator on flat tori, Illinois Journal of Mathematics, in print, arXiv:1510.08410 (pdf file)

  • N.B. Murphy, E. Cherkaev, K. Golden, Anderson transition for classical transport in composite materials, submitted, 2016

  • M. Kordy,  E. Cherkaev, P. Wannamaker, Null space correction and adaptive model order reduction in multi-frequency Maxwell's problem, Advances in Computational Mathematics, in print, 2016  doi:10.1007/s10444-016-9482-z (pdf.file)

  • M. Kordy, E. Cherkaev, P. Wannamaker, M. Sommer, Subspace Gauss-Newton method for a low rank approximation of the
  • Jacobian,  submitted, 2016.

  • M. Kordy, E. Cherkaev, P. Wannamaker, Adaptive model order reduction  for the Jacobian calculation in inverse multi-frequency problem for Maxwell's equations, Applied Numerical Mathematics, Vol. 109, pp. 1-18, doi: 10.1016/j.apnum.2016.02.010, 2016 (pdf file)

  • M. Kordy, P. Wannamaker, V. Maris, E. Cherkaev, G. Hill,  3-D magnetotelluric inversion including topography using deformed hexahedral edge finite elements and direct solvers parallelized on SMP computers - Part I: forward problem and parameter Jacobians, Geophysical Journal International, 2016, 204 (1), 74-93, doi: 10.1093/gji/ggv410 (pdf.file)

  • M. Kordy, P. Wannamaker, V. Maris, E. Cherkaev, G. Hill, 3-dimensional magnetotelluric inversion including topography using deformed hexahedral edge finite elements and direct solvers parallelized on symmetric multiprocessor computers - Part II: direct data-space inverse solution, Geophysical Journal International, 2016,  204 (1), 94-110, doi: 10.1093/gji/ggv411 (pdf.file)

  • N.B. Murphy, E. Cherkaev, C. Hohenegger, and K.M. Golden, Spectral measure computations for composite media, Communications in Mathematical Sciences, Vol. 13, No. 4, pp. 827-864, 2015  (pdf.file)

  • M. Kordy, E. Cherkaev, P. Wannamaker, Variational formulation for Maxwell's equations with Lorentz gauge: Existence
    and uniqueness of solution, International Journal of Numerical Analysis & Modeling, IJNAM, 2015, Vol. 12, No. 4, pp. 731-749 
    (pdf.file)

  • A. Gully, J. Lin, E. Cherkaev, K.M. Golden, Bounds on the complex permittivity of polycrystalline materials by analytic continuation, 19 pp, Proc. R. Soc. A: 2015, 471,  20140702; DOI: 10.1098/rspa.2014.0702 (pdf.file)

  • O. Levy, E. Cherkaev, Effective medium approximations for anisotropic composites with arbitrary component orientation, J. Appl. Phys., 2013,  114, 164102; doi: 10.1063/1.4826616 (pdf.file)

  • C. Orum, E. Cherkaev, K. Golden, Recovery of inclusion separations in strongly heterogeneous composites from effective property measurements,  Proc. Roy. Soc. A., 2011, doi: 10.1098/rspa.2011.0527 (pdf.file)

  •  E. Cherkaev, C. Bonifasi-Lista, Characterization of structure and properties of bone by spectral measure method, J Biomech., 2011, 44(2):345-351 (pdf.file)
  •  
  •  K. Golden, B. Murphy, E. Cherkaev, Spectral analysis and connectivity of porous microstructures in bone. J Biomech., 2011, 44(2):337-344.  (pdf.file)
  •  
  • D. Zhang, E. Cherkaev, M. Lamoureux, Stieltjes representation of the 3D Bruggeman effective medium and  Pade approximation, Applied Mathematics and Computation, v 217,  pp 7092-7107, 2011,  doi:10.1016/j.amc.2011.01.020  (pdf.file)

  •  D. Zhang, M. Lamoureux, G. Margarve, E. Cherkaev, Rational approximation for estimation of quality Q factor and phase velocity in linear, viscoelastic, isotropic media, Computational Geosciences, Vol 15, N 1, pp 117-133, 2011   (pdf.file)
  •  
  • A. Cherkaev, E. Cherkaev, S. Leelavanichkul, Principles of Optimization of Structures Against an Impact, Continuum Models and Discrete Systems Symposia (CMDS-12), Journal of Physics: Conference Series 319 (2011) 012021,
     doi:10.1088/1742-6596/319/1/012021 (pdf.file)

     
  • E. Cherkaev, D. Zhang, Pade approximations in inverse homogenization and numerical simulation of electromagnetic fields in composites, 2010 URSI International Symposium on  Electromagnetic Theory (EMTS), 10.1109/URSI-EMTS.2010.5637164, 2010, pp 580-583 (pdf.file)
  •  
  •  C. Bonifasi-Lista, E. Cherkaev, and Y.N. Yeni,  Analytical approach to recovering bone porosity from effective complex shear modulus,  Journal of Biomechanical Engineering, 2009, v. 131, N. 12, pp. 121003-1 - 121003-8,  doi:10.1115/1.4000082 (pdf.file)

  •  H. Bertete-Aguirre, E. Cherkaev, Stable parameter estimation method applied to characterization of plume transport in environmental inverse problems, SAGEEP 2010, Proceedings, Vol. 2, 711-714. 

  •  C. Bonifasi-Lista, E. Cherkaev, Electrical impedance spectroscopy as a potential tool for recovering bone porosity, Physics in Medicine and Biology, 54 (2009) 3063-3082. doi: 10.1088/0031-9155/54/10/007 (pdf.file)

  •  D. Zhang, E. Cherkaev, Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations, Journal of Computational Physics, 228 (2009) 5390-5409, doi:10.1016/j.jcp.2009.04.014 (pdf.file)

  •   C. Bonifasi-Lista, E. Cherkaev, Analytical relations between effective material properties and microporosity: Application to bone mechanics, International Journal of Engineering Science, 46 (2008), 12, 1239-1252. doi:10.1016/j.ijengsci.2008.06.011 

  • E. Cherkaev, Inverse homogenization with diagonal Pade approximants, PAMM, Special Issue: ICIAM07, Vol 7,  N 1, 2008, pp 1042001 - 1042002. doi 10.1002/pamm.200701047 (pdf.file)

  •  E. Cherkaev and A. Cherkaev, Minimax optimization problem of structural design, International Journal of Computers and Structures, 2008, Vol 86/13-14, 1426-1435 (pdf file)
  •  
  •  D. Zhang, E. Cherkaev, Pade approximations for identification of air bubble volume from temperature- or frequency-dependent permittivity of a two-component mixture, Inverse Problems in Science and Engineering,  2008,  16, 4, pp. 425-445. 
  •  
  •  E. Cherkaev,  M.-J. Ou,  De-Homogenization: Reconstruction of moments of the spectral measure of composite, 2008 Inverse Problems 24 065008 (19pp), doi: 10.1088/0266-5611/24/6/065008 

  •  E. Cherkaev, A. Cherkaev, Robust optimal design for the worst case scenario, ECCM2006: III European Conference on Computational Mechanics, Solids, Structures, and Coupled Problems in Engineering, C.A.Mota Soares et al. (eds.), 2006, Springer Science.
  •  
  •  C. Bonifasi-Lista, E. Cherkaev, Identification of bone structure from effective measurements, III European Conf. on Computational Mechanics, Solids, Structures, C.A.Mota Soares et al. (eds.) 2006, Springer Science.

  •  C. Bonifasi-Lista, E. Cherkaev, Identification of bone microstructure from effective complex modulus, Vibration Problems ICOVP 2005, Springer Proceedings in Physics, Vol. 111, E. Inan, A. Kiris  (Eds.), 2006, pp. 91-96
  •  
  •  A. Cherkaev,  E. Cherkaev, L. Slepyan, Dynamics of structures with bistable links, Vibration Problems ICOVP 2005, Springer Proceedings in Physics, Vol. 111, E. Inan, A. Kiris  (Eds.), 2006, pp. 111-122.  

  •   M-J. Ou and E. Cherkaev, On the integral representation formula for a two-component elastic composite, Mathematical Methods in the Applied Sciences, 2006, Vol. 29, Issue 6, pp 655-664.