Publications

• Golden, K. M., Murphy, N. B., Hallman D., Cherkaev, E. (2023). Stieltjes functions and spectral analysis in the physics of sea ice. Nonlinear Processes in Geophysics. Published, 09/21/2023.
• Niklas Wellander, Sebastien Guenneau, Elena Cherkaev (2022). Two-scale cut-and-projection con- vergence for quasiperiodic monotone operators,. European Journal of Mechanics-A/Solids. 2022, 104796. Published, 05/24/2022.
  https://doi.org/10.1016/j.euromechsol.2022.104796
• Justin Baker, Elena Cherkaev, Akil Narayan, Bao Wang (2022). Learning Proper Or- thogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs. Journal of Scientific Computing. Published, 02/15/2022.
• Elena Cherkaev, Fernando Guevara Vasquez, China Mauck, Milo Prisbrey, and Bart Raeymaekers (2021). Wave-driven assembly of quasiperiodic patterns of particles. Phys. Rev. Lett. 126, 14, 145501, 2021. Published, 01/27/2021.
• N.B. Murphy, E. Cherkaev, J. Zhu, J. Xin, K. M. Golden (2020). Spectral analysis and computation for homogenization of advection diffusion processes in steady flows. Journal of Mathematical Physics. 2020, 61, 013102. Published, 04/06/2020.
• E. Cherkaev, (2019). Internal friction and the Stieltjes analytic representation of the effective properties of two-dimensional viscoelastic composites. Archive of Applied Mechanics. Published, 02/16/2019.
  https://doi.org/10.1007/s00419-019-01514-3
• E. Cherkaev (2019). Internal resonances and relaxation memory kernels in composites, . Phil. Trans. Roy. Soc. A: Math. Phys. Eng. Sci. 2019, 378, 20190106. Published, 03/20/2019.
• N. Benjamin Murphy, Elena Cherkaev, Kenneth M. Golden, Anderson transition for classical transport in composite materials, Phys. Rev. Lett. 118, 036401, 2017. DOI: https://doi.org/10.1103/PhysRevLett.118.036401. Published, 01/19/2017.
  https://doi.org/10.1103/PhysRevLett.118.036401
• E. Cherkaev, S. Guenneau, N. Wellander (2017). Homogenization of Maxwell equations with a quasiperiodic non-linear conductivity. IEEE Explore, Proceedings, 11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena (Metamaterials), 2017, pp. 373-375. Published, 09/2017.
  https://ieeexplore.ieee.org/document/8107817/
• E. Cherkaev (2018). Inverse homogenization: Inverse problem for the structure of composites. Computational Inverse Problems for Partial Differential Equations, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Report 24/2017, pp. 1535-1538 (73-76). Published, 04/27/2018.
  https://www.mfo.de/document/1720/OWR_2017_24.pdf
• Niklas Wellander, Sebastien Guenneau, Elena Cherkaev, Two-scale cut-and-projection convergence; Homogenization of quasiperiodic structures, MMAS, Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.4345. Published, 02/14/2017.
  http://onlinelibrary.wiley.com/doi/10.1002/mma.434...
• M. Kordy, E. Cherkaev, P. Wannamaker, Null space correction and adaptive model order reduction in multi-frequency Maxwell's problem, Advances in Computational Mathematics, Volume 43, Issue 1, 2017, Pages 171-193. doi:10.1007/s10444-016-9482-z. Published, 02/2017.
  https://link.springer.com/article/10.1007/s10444-0...
• N. Benjamin Murphy, Elena Cherkaev, Jack Xin, Jingyi Zhu, and Kenneth M. Golden, Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows, Annals of Mathematical Sciences and Applications, 2017, Volume 2, Number 1, pp. 3-66. Published, 01/13/2017.
  http://intlpress.com/site/pub/pages/journals/items...
• E. Cherkaev (2001). Inverse homogenization for evaluation of effective properties of a mixture. Inverse Problems, 2001, 17, 4, 1203-1218. Published, 10/2001.
  https://doi.org/10.1088/0266-5611/17/4/341
• R. Mihaila & D. Ruhela, E. Keough, E. Cherkaev, S. Chang, B. Galinski, R. Bartz, D. Brown, B. Howell, J. Cunningham (2017). Mathematical modeling: A tool for optimization of lipid nanoparticle mediated delivery of siRNA . Molecular Therapy - Nucleic Acids, 2017. Vol. 7, 246-255. Published, 06/16/2017.
  http://dx.doi.org/10.1016/j.omtn.2017.04.003
• Braxton Osting, Jeremy Marzuola, Elena Cherkaev, An isoperimetric inequality for an integral operator on flat tori, Illinois Journal of Mathematics, 2015, Volume 59, Number 3, Pages 773-793. Published, 10/2016.
  https://projecteuclid.org/euclid.ijm/1475266407
• C. Strong, D. Foster, E. Cherkaev, I. Eisenman, K.M. Golden (2017). On the definition of marginal ice zone width. Journal of Atmospheric and Oceanic Technology, 2017, Vol. 34, No. 7, 1565-1584. Published, 07/2017.
  https://journals.ametsoc.org/doi/abs/10.1175/JTECH...
• 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, 2016. dx.doi.org/10.1016/j.apnum.2016.02.010. Published, 06/11/2016.
  http://www.sciencedirect.com/science/article/pii/S...
• 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. Published, 11/13/2015.
  https://academic.oup.com/gji/article-abstract/204/...
• 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. Published, 11/13/2015.
  https://academic.oup.com/gji/article-abstract/204/...
• 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. Published, 04/07/2015.
  http://www.math.ualberta.ca/ijnam/Volume-12-2015/N...
• N. B. Murphy, E. Cherkaev, C. Hohenegger, K. M. Golden, Spectral measure computations for composite media, Communications in Mathematical Sciences, 2015, Vol. 13, No. 4, pp. 827-864. DOI: http://dx.doi.org/10.4310/CMS.2015.v13.n4.a1. Published, 03/17/2015.
  http://intlpress.com/site/pub/pages/journals/items...
• 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. Published, 01/07/2015.
  http://rspa.royalsocietypublishing.org/content/roy...
• O. Levy, E. Cherkaev (2013). Effective medium approximations for anisotropic composites with arbitrary component orientation. J. Appl. Phys. Vol. 114, 164102. Published, 10/2013.
  http://aip.scitation.org/doi/10.1063/1.4826616
• 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. Published, 11/16/2011.
  http://rspa.royalsocietypublishing.org/content/468...
• 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. Published, 10/2011.
  http://iopscience.iop.org/article/10.1088/1742-659...
• D. Zhang, E. Cherkaev, M. Lamoureux, Stieltjes representation of the 3D Bruggeman effective medium and Pade approximation, Applied Mathematics and Computation, Vol. 217, Issue 17, pp. 7092-7107, 2011. doi:10.1016/j.amc.2011.01.020. Published, 01/15/2011.
  http://dx.doi.org/10.1016/j.amc.2011.01.020
• E. Cherkaev, C. Bonifasi-Lista, Characterization of structure and properties of bone by spectral measure method, J Biomech., 2011, 44(2):345-351. http://dx.doi.org/10.1016/j.jbiomech.2010.10.031. Published, 01/11/2011.
  http://dx.doi.org/10.1016/j.jbiomech.2010.10.031
• K. Golden, B. Murphy, E. Cherkaev, Spectral analysis and connectivity of porous microstructures in bone. J Biomech., 2011, 44(2):337-344. http://dx.doi.org/10.1016/j.jbiomech.2010.10.029. Published, 11/20/2010.
  http://dx.doi.org/10.1016/j.jbiomech.2010.10.029
• D. Zhang, M. Lamoureux, G. Margarve and 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. doi:10.1007/s10596-010-9201-7. Published, 07/24/2010.
  https://link.springer.com/article/10.1007/s10596-0...
• C. Bonifasi-Lista, E. Cherkaev, Y.N. Yeni, Analytical approach to recovering bone porosity from effective complex shear modulus, Journal of Biomechanical Engineering, 2009, 131, 12, pp. 121003-1 - 121003-8. doi:10.1115/1.4000082 (2009). Published, 09/01/2009.
  http://biomechanical.asmedigitalcollection.asme.or...
• C. Bonifasi-Lista, E. Cherkaev, Electrical impedance spectroscopy as a potential tool for recovering bone porosity, Physics in Medicine and Biology, 2009, vol. 54, n. 10, 3063-3082. doi: 10.1088/0031-9155/54/10/007. Published, 04/27/2009.
  http://iopscience.iop.org/article/10.1088/0031-915...
• D. Zhang, E. Cherkaev, Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations, Journal of Computational Physics, 2009, 228, 5390-5409. doi:10.1016/j.jcp.2009.04.014. Published, 04/22/2009.
  http://dx.doi.org/10.1016/j.jcp.2009.04.014
• E. Cherkaev, M.-J. Ou, De-Homogenization: Reconstruction of moments of the spectral measure of composite, Inverse Problems, 2008, 24, 6, 065008, 19pp, doi:10.1088/0266-5611/24/6/065008. Published, 10/17/2008.
  https://doi.org/10.1088/0266-5611/24/6/065008
• C. Bonifasi-Lista, E. Cherkaev, Analytical relations between effective material properties and microporosity: Application to bone mechanics, International Journal of Engineering Science, 2008, 46, 12, 1239-1252. doi:10.1016/j.ijengsci.2008.06.011. Published, 08/03/2008.
  http://dx.doi.org/10.1016/j.ijengsci.2008.06.011
• E. Cherkaev, A. Cherkaev, Minimax optimization problem of structural design, Computers and Structures, 2008, 86, 13-14, 1426-1435. http://dx.doi.org/10.1016/j.compstruc.2007.05.026. Published, 06/29/2007.
  http://dx.doi.org/10.1016/j.compstruc.2007.05.026
• MJ Y Ou and E Cherkaev, On the integral representation formula for a two-component elastic composite, Mathematical Methods in the Applied Sciences, 2006, 29, 6, 655-664. doi:10.1002/mma.703. Published, 12/08/2005.
  http://onlinelibrary.wiley.com/doi/10.1002/mma.703...
• A. Cherkaev, E. Cherkaev, L. Slepyan, Transition waves in bistable structures I: Delocalization of damage, J. Mech. Phys. Solids, Vol. 53/2, pp. 383-405, 2005. http://dx.doi.org/10.1016/j.jmps.2004.08.002. Published, 09/27/2004.
  http://dx.doi.org/10.1016/j.jmps.2004.08.002
• L. Slepyan, A. Cherkaev, E. Cherkaev, Transition waves in bistable structures II: Analytical solution, wave speed, and energy dissipation, J. Mech. Phys. Solids, 53/2, 407-436, 2005. http://dx.doi.org/10.1016/j.jmps.2004.08.001. Published, 09/24/2004.
  http://dx.doi.org/10.1016/j.jmps.2004.08.001
• E. Cherkaev, A. Cherkaev, Principal compliance and robust optimal design, The Rational Spirit in Modern Continuum Mechanics, C-S Man, R. L. Fosdick, eds., pp 169-196, 2004, Also: Journal of Elasticity, 2003, 72 (1-3), 71-98. doi: 10.1007/1-4020-2308-1_14. Published, 07/16/2003.
  https://link.springer.com/chapter/10.1007%2F1-4020...
• E. Cherkaev, D. Zhang (2010). Pade approximations in inverse homogenization and numerical simulation of electromagnetic fields in composites. 2010 URSI International Symposium on Electromagnetic Theory (EMTS), 2010, 580-583. Published, 08/2010.
  https://ieeexplore.ieee.org/document/5637164/
• E. Cherkaev (2008). Inverse homogenization with diagonal Pade approximants. PAMM, Proceedings in Applied Mathematics and Mechanics, v. 7, 1, 2008,1042001-1042002. Published, 12/12/2008.
  https://onlinelibrary.wiley.com/doi/abs/10.1002/pa...
• D. Zhang, E. Cherkaev (2008). 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, 425-445. Published, 06/12/2008.
  https://www.tandfonline.com/doi/abs/10.1080/174159...
• E. Cherkaev, A. Cherkaev (2006). Optimal design for the worst case scenario. III European Conf. on Computational Mechanics, Solids, Structures, Coupled Problems in Engineering, C.A.Mota Soares et al., eds., Springer, Dordrecht. Published, 08/2006.
  https://doi.org/10.1007/1-4020-5370-3_380
• C. Bonifasi-Lista, E. Cherkaev (2006). Identification of bone structure from effective measurements. III European Conference on Computational Mechanics, Solids, Structures, and Coupled Problems in Engineering, C.A.Mota Soares et al., eds., Springer, Dordrecht. 551-562. Published, 08/2006.
  https://link.springer.com/chapter/10.1007/1-4020-5...
• A. Cherkaev, E. Cherkaev, L. Slepyan (2006). Dynamics of structures with bistable links. Vibration Problems ICOVP 2005, Springer Proceedings in Physics, 111, E. Inan, A. Kiris, eds., 2006, 111-122. 111-122. Published, 03/2006.
  https://link.springer.com/chapter/10.1007/978-1-40...
• C. Bonifasi-Lista, E. Cherkaev (2006). Identification of bone microstructure from effective complex modulus. Vibration Problems ICOVP 2005, Springer Proceedings in Physics, 111, E. Inan, A. Kiris, eds., 2006, 91-96. Published, 03/2006.
  https://link.springer.com/chapter/10.1007/978-1-40...
• Whitman, Z., La Saponara, V., Adams, D., Leelavanichkul, S., Cherkaev, A., Cherkaev, E., Vinogradov (2005). Advancements in fail safe response with bistable composite structures. ASME Proceedings 2005 International Mechanical Engineering Congress. IMECE 2005-80627, 451-456. Published, 10/2005.
  http://proceedings.asmedigitalcollection.asme.org/...
• Whitman, Z, La Saponara, V, Adams, D, Leelavanichkul, S, Cherkaev, A, Cherkaev, E (2005). Improvement in energy absorption through use of bistable structures. International SAMPE Symposium and Exhibition, Proceedings. Vol. 50, 2643-2657. Published, 05/2005.
  https://utah.pure.elsevier.com/en/publications/imp...
• E. Cherkaev, D. Zhang (2003). Coupling of the effective properties of a random mixture through the reconstructed spectral representation. Physica B: Phys. Cond. Matt., 2003, 338 (1-4), 16-23. Published, 11/2003.
  https://pdfs.semanticscholar.org/b688/11fda8f689d4...
• E. Cherkaev (2003). Spectral coupling of effective properties of a random mixture. IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, Movchan A.B. ed. Solid Mechanics and Its Applications, vol 113. Springer, Dordrecht. 331-340. Published, 08/2003.
  https://doi.org/10.1007/1-4020-2604-8_32
• H. Bertete-Aguirre, E. Cherkaev, M. Oristaglio (2002). Non-smooth gravity problem with total variation penalization functional. Geophys. Journal International, 2002, 149, 499-507. Published, 05/01/2002.
  https://doi.org/10.1046/j.1365-246X.2002.01664.x
• A.C. Tripp, E. Cherkaeva, J. Hulen (2002). Bounds on the complex conductivity of geophysical mixtures. Geophysical Prospecting, 1998, 46, 6, 589-601. Published, 02/2002.
• David Morison, N. Benjamin Murphy, Elena Cherkaev, Kenneth M. Golden (2022). Order to disorder in quasiperiodic composites. Communication Physics. Published, 01/17/2022.
• D. Johnson, E. Cherkaev, C. Furse, A.C. Tripp (2001). Cross-borehole delineation of a conductive ore deposit in a resistive host - Experimental design. Geophysics, 2001, 66, 3, 824-835. Published, 05/2001.
  https://doi.org/10.1190/1.1444972
• E. Cherkaeva, A.C. Tripp (2000). Optimal design of focusing inductive arrays for inhomogeneous medium. IEEE International Conference on Phased Array Systems and Technology, Proceedings, 2000, 485-488. Published, 05/2000.
  https://ieeexplore.ieee.org/document/859002/
• E. Cherkaev (2000). A new inversion method for dissipating electromagnetic problem. Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, A. Bermudez et al., eds., SIAM, 2000. 637-642. Published, 01/01/2000.
  https://books.google.com/books?id=37DmIypi-h0C&pg=...
• A. Cherkaev, E. Cherkaev (1999). Structural optimization and biological "designs". IUTAM Symposium on Synthesis in Bio Solid Mechanics. Solid Mechanics and its Applications, v. 69: Synthesis in Bio Solid Mechanics, P. Pedersen, M.P. Bendsoe, eds., Kluwer Academic Press, 1999, 247-264. Published, 04/1999.
  https://books.google.com/books?id=Ptxu63ARr7UC&pg=...
• A. Cherkaev, E. Cherkaeva (1999). Optimal design for uncertain loading conditions. In: Homogenization, V. Berdichevsky, V. Jikov, and G. Papanicolaou, eds., World Scientific, 1999, 193-213. Published, 02/15/1999.
  https://doi.org/10.1142/9789812812919_0008
• H. Bertete-Aguirre, E. Cherkaeva, M. Oristaglio (1998). Non-smooth gravity problem. SEG Technical Program Expanded Abstracts 1998: pp. 490-493. Published, 10/1998.
  https://library.seg.org/doi/pdf/10.1190/1.1820472
• K.M. Golden, D. Borup, M. Cheney, E. Cherkaeva, M.S. Dawson, Kung-Hau Ding, A.K. Fung, D. Isaacson, & S.A. Johnson, A.K. Jordan, J.A. Kong, Ronald Kwok, Son V. Nghiem, R.G. Onstott, J. Sylvester, DP. Winebrenner, I.H.H. Zabel (1998). Inverse electromagnetic scattering for sea ice. IEEE Trans. on Geoscience and Remote Sensing, 1998, 36, 5, 1675-1704. Published, 09/1998.
  https://ieeexplore.ieee.org/document/718638/
• E. Cherkaeva, K. Golden (1998). Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements . Waves in Random Media, 1998, 8, 437-450. Published, 08/1998.
  https://www.tandfonline.com/doi/abs/10.1088/0959-7...
• Elena Cherkaeva, Alan C. Tripp (1997). On optimal design of transient electromagnetic waveforms. SEG Technical Program Expanded Abstracts 1997, pp. 438-441. Published, 11/1997.
  https://library.seg.org/doi/abs/10.1190/1.1885926
• E. Cherkaeva, A.C. Tripp (1997). Source optimization in the inverse geoelectrical problem. Inverse Problems in Geophysical Applications, H.W. Engl, A. Louis, W. Rundell, eds., SIAM, 1997, 240-256. Published, 05/1997.
  https://pdfs.semanticscholar.org/b35b/e16ebff83273...
• E. Cherkaeva (1997). Optimal source control and resolution in nondestructive testing. Structural and Multidisciplinary Optimization, 1997, 13, 1, 12-16. Published, 02/1997.
  https://doi.org/10.1007/BF01198370
• E. Cherkaeva, A.C. Tripp (1996). Inverse conductivity problem for inexact measurements. Inverse Problems, 1996, 12, 869-883. Published, 06/1996.
  http://iopscience.iop.org/article/10.1088/0266-561...
• E. Cherkaeva, A.C. Tripp (1996). Optimal survey design using focused resistivity arrays. IEEE Transactions on Geoscience and Remote Sensing, Vol. 34, Issue 2, 1996, 358-366. Published, 03/1996.
  https://ieeexplore.ieee.org/document/485113/
• E. Cherkaeva, A.C. Tripp (1996). Optimal survey design using focused resistivity arrays. IEEE Transactions on Geoscience and Remote Sensing, Vol. 34, Issue 2, 1996, 358-366. Published, 03/1996.
  https://ieeexplore.ieee.org/document/485113/
• E. Cherkaeva, A. Cherkaev (1995). Bounds for detectability of material damage by noisy electrical measurements. Structural and multidisciplinary optimization. Published, 06/1995.
  https://www.semanticscholar.org/paper/Bounds-for-D...
• R. Mihaila & D. Ruhela, B. Galinski, A. Card, M. Cancilla, T. Shadel, J. Kang, S. Tep, Jie Wei, J. Caldwell, W.M. Flanagan, N. Kuklin, E. Cherkaev and B. Ason (2019). Modeling the kinetics of lipid nanoparticle mediated delivery of multiple siRNAs to evaluate the effect on competition for Ago2. Molecular Therapy - Nucleic Acids. 2019, 16:367-377. Published, 02/12/2019.
  https://www.cell.com/molecular-therapy-family/nucl...
• E. Cherkaev, S. Guenneau, and N. Wellander (2018). Inverse homogenization of a quasiperiodic composite. IEEE Xplore. Published, 02/20/2018.
• Wellander N., Guenneau S. & Cherkaev E. (2018). (2018). Two-scale cut-and-projection convergence; homogenization of quasiperiodic structures. Mathematical Methods in the Applied Sciences. Vol. 41, 1101-1106. Published, 02/06/2018.
• N. Benjamin Murphy, Elena Cherkaev, Christel Hohenegger & Kenneth M. Golden (2015). Spectral measure computations for composite materials. International Press of Boston. Vol. 13(4), 825-862. Published, 04/24/2015.
• Benjamin Murphy, N., Cherkaev, Elena & Golden, Kenneth M. (2011). Spectral analysis and connectivity of porous microstructures in bone. Elsevier BV. Vol. 44(2), 337-344. Published, 2011.
• Cherkaev, Elena, Leelavanichkul, Seubpong & Cherkaev, Andrej (2011). Principles of Optimization of Structures Against an Impact. IOP Publishing. Vol. 319, 012021. Published, 2011.
• Bonifasi-Lista, Carlos & Cherkaev, Elena (2011). Characterization of structure and properties of bone by spectral measure method. Elsevier BV. Vol. 44(2), 345-351. Published, 2011.
• Bonifasi-Lista, Carlos, Yeni, Yener N. & Cherkaev, Elena (2009). Analytical Approach to Recovering Bone Porosity From Effective Complex Shear Modulus. ASME International. Vol. 131(12), 121003. Published, 2009.
• Cherkaev, Elena & Cherkaev, Andrej (2008). Minimax optimization problem of structural design. Elsevier BV. Vol. 86(13-14), 1426-1435. Published, 2008.
• Cherkaev, Elena & Ou, Miao-Jung Yvonne (2008). Dehomogenization: reconstruction of moments of the spectral measure of the composite. IOP Publishing. Vol. 24(6), 065008. Published, 2008.

Presentations

• Invited Lecture, London Mathematical Society, The LMS-Bath symposium on ”Operators, Asymptotics, Waves”, July 24-Aug 4, 2023. Invited Talk/Keynote, Presented, 07/27/2023.
• Invited Speaker at ”Herglotz-Nevanlinna functions and their applications to dispersive systems and composite materials”, CIRM, Marseille, May 23-27, 2022. Invited Talk/Keynote, Presented, 05/25/2022.
• Keynote Speaker at the Symposium ”Advances in Micromechanics of Materials,” Society for Engineering Science (SES) Annual Meeting, St. Louis, Oct. 13-15, 2019. Invited Talk/Keynote, Presented, 10/14/2019.
• Invited Speaker at the 13th International Congress on Artificial Materials for Novel Wave Phenomena - Metamaterials 2019, Rome, Italy, Sept. 16-21, 2019. Invited Talk/Keynote, Presented, 09/18/2019.
• Plenary Speaker at the Conference on Electrical, Transport and Optical Properties of Inhomogeneous Media (ETOPIM11), Krakow, Poland, July, 2018. Invited Talk/Keynote, Presented, 07/25/2018.
• Invited Speaker at the International Workshop in honor of Dominique Jeulin, Physics and Mechanics of Random Structures: from Morphology to Material Properties, Peninsula of Oleron, France, June 17-23, 2018. Invited Talk/Keynote, Presented, 06/20/2018.
• Invited Speaker at the Conference on Multiscale Problems in Materials and Biology, A conference in honor of Leonid Berlyand’s 60th birthday, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada, June 4-7, 2018. Invited Talk/Keynote, Presented, 06/05/2018.
• Invited Lecturer at the European Doctoral School on Metamaterials in conjunction with the Conference on Metamaterials, Marseille, France, 2017. Invited Talk/Keynote, Presented, 09/04/2017.

Grants, Contracts & Research Gifts

• Homogenization for Sea Ice (1413454). PI: Kenneth M Golden. Co-PI(s): ELENA A CHERKAEV. National Science Foundation, 2014 - 07/31/2017. Total project budget to date: $320,000.00
• Bone Tissue: Multi-Scale Simulation for Clinical Applications; Los Angeles, CA; April 19-23, 2010. (0964022). PI: Ascenzi, Maria-Grazia. Co-PI(s): ELENA A CHERKAEV. National Science Foundation, 2009 - 11/30/2010. Total project budget to date: $10,000.00