Books

1. Igor Tsukerman, Computational Methods for Nanoscale Applications: Particles, Plasmons, and Waves Springer, Nanostructure Science and Technology series, 2007.
2.
Plasmonics and Plasmonic Metamaterials: Analysis and Applications. Gennady Shvets, Igor Tsukerman (eds.), World Scientific Publishing Company; 2011.


Book Chapters
  1. Gennady Shvets, Igor Tsukerman, Preface to Plasmonics and Plasmonic Metamaterials: Analysis and Applications. World Scientific Publishing Company; 2011.
  2. Masha Sosonkina and Igor Tsukerman, Parallel solvers for flexible approximation schemes in multiparticle simulation, Lecture Notes in Computer Science, Springer: Berlin / Heidelberg, vol. 3991 (eds. Vassil N. Alexandrov, Geert Dick van Albada, Peter M.A. Sloot, Jack Dongarra), pp. 54-62, 2006.  ISBN: 3-540-34379-2, ISSN: 0302-9743, DOI: 10.1007/11758501_12.
  3. Achim Basermann, Igor Tsukerman, Parallel Generalized Finite Element Method for Magnetic Multiparticle Problems, Springer Series: Lecture Notes in Computational Science and Engineering, LNCS 3402, M. Daydé et al. (Eds.), pp. 325-339, 2005. http://www.springerlink.com/index/10.1007/11403937_26
  4. Igor Tsukerman, Toward Generalized Finite Element Difference Methods for Electro- and Magnetostatics, Springer Series: Mathematics in Industry, Vol.  4, W.H.A. Schilders, Jan W. ter Maten, S.H.M.J. Houben, (Eds.), pp. 58−77, 2004.  ISBN: 3-540-21372-4.
  5. Th. Apel, M. Berzins, P.K. Jimack, G. Kunert, Alexander Plaks, Igor Tsukerman, M. Walkley, Mesh Shape and Anisotropic Elements: Theory and Practice, in The Mathematics of Finite Elements and Applications X,  J.R. Whiteman (ed.), Elsevier: Amsterdam, 2000, pp. 367-376.
  6. Adalbert Konrad, I.A. Tsukerman, Applications of Integral and Differential Methods to Electromagnetic Field Problems, in: Finite Elements, Electromagnetics and Design, S.R.H. Hoole (ed.), Elsevier: Amsterdam, 1995.
Book Review

Igor Tsukerman, Book review: A. Bondeson, T. Rylander and P. Ingelström, Computational Electromagnetics, Springer, 2005. SIAM Review, vol. 49, No. 1, pp. 173-175, 2007.

Papers recently submitted or in preparation

Guillaume Krebs, Stéphane Clénet and Igor Tsukerman, A method to connect arbitrary meshed surfaces with overlapping elements, in preparation.

Refereed  Journal  Publications
  1. Igor Tsukerman. Nonlocal homogenization of metamaterials by dual interpolation of fields, J. Opt. Soc. Am. B, vol. 28, No. 12, pp. 2956-2965, 2011.   pdf online
  2. Anders Pors, Igor Tsukerman, Sergey I. Bozhevolnyi, Effective constitutive parameters of plasmonic metamaterials: Homogenization by dual field interpolation, Phys Rev E, vol. 84, 016609, 2011.   pdf online
  3. Igor Tsukerman, Effective parameters of metamaterials: a rigorous homogenization theory via Whitney interpolation, J. Opt. Soc. Am. B, vol. 28, pp. 577-586, 2011.   pdf online
  4. Jianhua Dai, Helder Pinheiro, J.P. Webb, Igor Tsukerman, Flexible approximation schemes with numerical and semi-analytical bases, COMPEL, vol. 30, No. 2, pp. 552-573, 2011.  pdf online
  5. Igor Tsukerman, A singularity-free boundary equation method for wave scattering, IEEE Trans on Antennas and Propagation, vol. 59, No. 2, pp. 555-562, 2011.   pdf online
  6. Guillaume Krebs, Stephane Clénet, Igor Tsukerman, Overlapping finite elements for arbitrary surfaces in 3-D, IEEE Trans Magn, vol. 46, No. 8,   pp. 3473-3476,  2010.  pdf online
  7. Igor Tsukerman, Trefftz difference schemes on irregular stencils, Journal of Computational Physics, vol. 229, pp. 2948-2963, 2010.  pdf online
  8. Igor Tsukerman, Superfocusing by nanoshells, Optics Lett, vol. 34, No. 8, pp. 1057-1059, 2009.  pdf online
  9. Igor Tsukerman, Quasi-homogeneous backward-wave plasmonic structures: theory and accurate simulation, J of Optics A: Pure and Applied Optics, vol. 11, No 11, 114025, 2009.  pdf online
  10. Igor Tsukerman, František Čajko, Jianhua Dai, Electrodynamic analysis of plasmonic enhancement (invited paper), NanoBiotechnology. Published online: 30 January 2009. http://dx.doi.org/10.1007/s12030-008-9016-y      pdf online
  11. M. Brehm, A. Schliesser, F. Čajko, I. Tsukerman, and F. Keilmann, Antenna-mediated back-scattering efficiency in infrared near-field microscopy, Opt. Express, vol. 16, pp. 11203-11215, 2008.   pdf online
  12. Igor Tsukerman, Negative refraction and the minimum lattice cell size, J. Opt. Soc. Am. B, vol. 25, pp. 927-936, 2008.  pdf online
  13. František Čajko and Igor Tsukerman, Flexible approximation schemes for wave refraction in negative index materials, IEEE Trans. Magn., vol. 44,  No. 6, pp. 1378-1381, 2008.   pdf online
  14. Igor Tsukerman and František Čajko, Photonic band structure computation using FLAME, IEEE Trans. Magn., vol. 44,  No. 6, pp. 1382-1385, 2008.   pdf online
  15. Jianhua Dai, Igor Tsukerman, Flexible approximation schemes with adaptive grid refinement, IEEE Trans. Magn., vol. 44,  No. 6, pp. 1206-1209, 2008.  pdf online
  16. Jianhua Dai, Igor Tsukerman, František Čajko, and Mark I. Stockman, Electrodynamic effects in plasmonic nanolenses, Phys. Rev. B, 77, 115419, 2008.  pdf online
  17. J. Dai, I. Tsukerman, A. Rubinstein, S. Sherman, New computational models for electrostatics of macromolecules in solvents, IEEE Trans. Magn., Vol. 43,  No. 4, pp. 1217-1220, 2007.   pdf online
  18. H. Pinheiro, J.P. Webb, I. Tsukerman, Flexible local approximation models for wave scattering in photonic crystal devices, IEEE Trans. Magn., Vol. 43,  No. 4, pp. 1321-1324, 2007.  pdf online
  19. Igor Tsukerman, A class of difference schemes with flexible local approximation, The Journal of Computational Physics, vol. 211, No. 2, pp. 659-699, 2006.  pdf online
  20. D. Mehtani, N. Lee, R.D. Hartschuh, A. Kisliuk, M.D. Foster, A.P. Sokolov, F. Čajko and I. Tsukerman, Optical properties and enhancement factors of the tips for apertureless near-field optics, Journal of Optics A: Pure and Applied Optics, vol. 8, S183-S190, 2006.  pdf online
  21. Igor Tsukerman, Electromagnetic applications of a new finite-difference calculus, IEEE Trans. Magn., vol. 41, No. 7, pp. 2206-2225, 2005.  pdf online
  22. Igor Tsukerman, Flexible local approximation method for electro- and magnetostatics, IEEE Trans. Magn., v. 40, No. 2, pp. 941-944, 2004.
  23. Igor Tsukerman, Efficient computation of long-range electromagnetic interactions without Fourier Transforms,  IEEE Trans. Magn., v. 40, No. 4, pp. 2158-2160, 2004.  pdf online
  24. Derek Halverson, Gary Friedman, Igor Tsukerman, Local approximation matching for open boundary problems, IEEE Trans. Magn., v. 40, No. 4, pp. 2152-2154, 2004.
  25. Igor Tsukerman, Spurious numerical solutions in electromagnetic resonance problems,  IEEE Trans. Magn., vol. 39, No. 3, pp. 1405-1408, 2003.   pdf online
  26. Igor Tsukerman, Symbolic algebra as a tool for understanding edge elements, IEEE Trans. Magn., vol. 39,  No. 3, pp.1111-1114, 2003.  pdf online
  27. Igor Tsukerman, General tangentially continuous vector elements, IEEE Trans. Magn., vol. 39, No. 3, pp. 1215-1218, 2003.  pdf online
  28. Alexander Plaks, Igor Tsukerman, Gary Friedman, Benjamin Yellen, Generalized Finite Element Method for magnetized nanoparticles, IEEE Trans. Magn., vol. 39, No. 3, pp.  1436-1439, 2003.  pdf online
  29. Igor Tsukerman, Finite element differential-algebraic systems for eddy current problems,  Numerical Algorithms, vol. 31, pp.319-335, 2002.  pdf online
  30. Leonid Proekt, Igor Tsukerman, Method of overlapping patches for electromagnetic computation, IEEE Trans. Magn., vol. 38, No. 2, pp.741-744, 2002.  pdf online
  31. Leonid Proekt, Sergey Yuferev, Igor Tsukerman, Nathan Ida, Method of overlapping patches for electromagnetic computation near imperfectly conducting cusps and edges,  IEEE Trans. Magn., vol. 38, No. 2, pp.649-652, 2002.   pdf online
  32. I.A. Tsukerman, V.V. Dombrovski, Finite element simulation of time-dependent electromagnetic fields in the end zone of superconducting motors, IEEE Trans. Magn.,  vol. 38, No. 2, pp.1265-1268, 2002.  pdf online
  33. Leonid B. Proekt and Igor Tsukerman, Accuracy of the finite element solution of a wave problem with a curved perfectly matched layer, IEEE Trans. Magn., vol. 37, No. 5, Part 1, pp. 3246-3250, 2001.  pdf online
  34. Alexander Plaks, Igor Tsukerman, S. Painchaud, and L. Tabarovsky, Multigrid methods for open boundary problems in geophysics,  IEEE Trans. Magn., vol. 36, No. 4, p.633-636, 2000.  pdf online
  35. Igor Tsukerman and Alexander Plaks, Hierarchical basis multilevel preconditioners for 3D magnetostatic problems, IEEE Trans. Magn., vol. 35, No.3, pp.1143-1146, 1999.  pdf online
  36. Igor Tsukerman and Alexander Plaks,  Refinement strategies and approximation errors for tetrahedral elements, IEEE Trans. Magn., vol. 35, No. 3, pp.1342-1345, 1999.  pdf online
  37. I.A.Tsukerman, Alexander Plaks, H.N. Bertram, Multigrid methods for computation of magnetostatic fields in magnetic recording problems,  J. Applied Phys., vol. 83, No. 11, pp.6344-6346, 1998. pdf online
  38. I.A. Tsukerman, Alexander Plaks, Comparison of accuracy criteria for approximation of conservative fields on tetrahedra,  IEEE Trans. Magn., vol. 34, pp.3252-3255, 1998.  pdf online
  39. I.A. Tsukerman, A general accuracy criterion for finite element approximation, IEEE Trans. Magn., vol. 34, pp.2425-2428, 1998.  pdf online
  40. I.A. Tsukerman,  Approximation of conservative fields and the element 'edge shape matrix', IEEE Trans. Magn., vol. 34,  pp.3248-3251, 1998.  pdf online
  41. I.A. Tsukerman,  Stability of the moment method in electromagnetic problems, IEEE Trans. Magn., vol. 33, No. 2,  pp.1402-1405, 1997.
  42. I.A. Tsukerman, Accurate computation of  'ripple solutions' on moving finite element meshes, IEEE Trans. Magn., vol. 31, No. 3, pp.1472-1475, 1995.  pdf online
  43. I.A. Tsukerman, A stability paradox for time-stepping schemes in coupled field-circuit problems, IEEE Trans. Magn., vol. 31, No. 3, pp.1857-1860, 1995. pdf online
  44. I.A. Tsukerman, J.D. Lavers, A. Konrad, Using complementary formulations for accurate computations of magnetostatic fields and forces in a synchronous motor, IEEE Trans. Magn., vol. 30, No. 5, pp.3479-3482, 1994.  pdf online
  45. I.A. Tsukerman, Application of multilevel preconditioners to finite element magnetostatic problems, IEEE Trans. Magn., vol. 30, No. 5, pp.3562-3565, 1994.
  46. I.A. Tsukerman, Fast finite element solvers for problems with magnetic materials, IEEE Trans. Magn., vol. 29, No. 6, pp.2365-2367, 1993.
  47. I.A. Tsukerman, Node and edge element approximation of discontinuous fields and potentials, IEEE Trans. Magn., vol. 29,  No. 6, pp.2368-2370, 1993.
  48. Adalbert Konrad and I.A. Tsukerman, Comparison of high- and low-frequency electromagnetic field analysis, J. Phys. III  France,  vol. 3, pp.363-371, 1993.  pdf online
  49. I.A. Tsukerman, A. Konrad, G. Bedrosian and M.V.K. Chari, A survey of numerical methods for transient eddy current problems, IEEE Trans. Magn., vol. 29, No. 2, pp.1711-1716, 1993.  pdf online
  50. I.A. Tsukerman, A. Konrad, G. Meunier and J.C. Sabonnadiere, Coupled field-circuit problems: trends and accomplishments, IEEE Trans. Magn., vol. 29, No. 2, pp.1701-1704, 1993.  pdf online
  51. I.A. Tsukerman, A. Konrad, J.D. Lavers, A method for circuit connections in time-dependent eddy current problems, IEEE Trans. Magn., vol. 28, No. 2, pp.1299-1302, 1992.   pdf online
  52. I.A. Tsukerman, Overlapping finite elements for problems with movement, IEEE Trans. Magn., vol. 28, No. 5, pp.2247-2249, 1992.
  53. I.A. Tsukerman, Error estimation for finite element solutions of the eddy currents problem, COMPEL 9(2), pp.83-98, 1990.  pdf online
  54. I.A. Tsukerman, On the accuracy of numerical calculation of eddy currents, Izvestiya Akad. Nauk SSSR. Energetika i transport, No.5, pp.83−93, 1989 [in Russian].
  55. I.A. Tsukerman, Finite-element approximation of the two-component vector function in the scalar magnetic potential method, Power Engineering (USSR Academy of Sciences), vol. 26, No. 2, pp.22−31,1988.
  56. K.S. Demirchyan, Yu.V. Rakitskii, Yu.P. Kizimovich, I.A. Tsukerman, Calculation of three-dimensional electromagnetic fields by the scalar magnetic potential method: numerical techniques and software, Power Engineering (USSR Academy of Sciences), vol. 26, No. 4, pp.146−152, 1988.
  57. Yu.P. Kizimovich, I.A. Tsukerman, Mathematical modelling of a three-dimensional quasisteady electromagnetic field in steady-state and transient regimes by means of the scalar magnetic potential, Power Engineering (USSR Academy of Sciences), vol. 26, No. 4, pp.153−158, 1988.
  58. Yu.P. Kizimovich, I.A. Tsukerman, Mathematical modelling of a quasi-steady electromagnetic field, Power Engineering (USSR Academy of Sciences), vol. 25, No. 2, pp.55−66, 1987.
  59. L.P. Boriskina, V.D. Varshavsky, L.A. Efimenko, I.A. Tsukerman, Application of the finite element method to the computation of the external magnetic field of electric machines, Elektrichestvo, No.9, pp.56−59, 1987 [in Russian].
  60. G.M.Khutoretsky, V.D. Varshavsky, I.A. Tsukerman, Computer simulation and analysis of electromagnetic processes when designing turbine generators with non-magnetic rotors, Elektrotekhnika, No.10, pp.46−50, 1987. [in Russian].
  61. G.M. Khutoretsky, V.D. Varshavsky, I.A. Tsukerman, Computer modelling of rotor thermal field in large cryoturbogenerator, Power Engineering (USSR Academy of Sciences), vol. 24, No. 1, pp.151−155, 1986.
  62. Yu.V. Rakitskii, E.B. Belopol'skaya, Yu.P. Kizimovich, I.A. Tsukerman, Some iterative methods for solution of variational-difference analogs of steady-state field equations, Power Engineering (USSR Academy of Sciences), vol. 24, No. 1, pp.67−76, 1986.
  63. Yu.V. Rakitskii, E.D. Shchukin, V.S. Yushchenko, I.A. Tsukerman, Yu.B. Suris, A.I. Slutsker, Mechanism of the formation of energy fluctuation and a method for studying it, Doklady. Physical chemistry: Proceedings of the Academy of Sciences of the USSR, vol. 285, No. 4, pp.1204−1207, 1985.  ISSN: 0012-5016pdf online
  64. G.M. Khutoretskii, V.D. Varshavskii, I.A. Zuckermann, Computation and analysis of high-power cryogenic turbogenerator rotor heating conditions, Electric Technology U.S.S.R. No.2, pp.69−75, 1985.
  65. S.P. Voskoboinikov, Yu.B. Senichenkov, I.A. Tsukerman, The rate of convergence of the two-step gradient descent method, USSR Comp. Maths. and Math. Phys., vol. 23, No. 5, pp.131−133, 1983.

Refereed Conference Papers
  1. Igor Tsukerman, A non-asymptotic effective medium theory (invited), Integrated Photonics Research, Silicon and Nano Photonics (IPR), Colorado Springs CO, June 2012.
  2. Igor Tsukerman, Trefftz difference schemes and non-asymptotic Trefftz-Whitney homogenization (invited), International Conference on Applied Mathematics (ICAM), Hong Kong, May 2012.
  3. Mac Hung, Stéphane Clénet, Jean-Claude Mipo, Igor Tsukerman, A priori error estimator in the transformation method taking into account the geometric uncertainties, CEFC 2012, November 2012, Oita, Japan.
  4. Igor Tsukerman, From analytical to numerical methods and back: Trefftz schemes, Whitney forms, and metamaterials (invited plenary talk), 7th Workshop on Numerical Methods for Optical Nano Structures, ETH Zurich, July 2011.
  5. Igor Tsukerman, Singularity-free boundary methods for electromagnetics and photonics (invited short course), 7th Workshop on Numerical Methods for Optical Nano Structures, ETH Zurich, July 2011
  6. Igor Tsukerman, From Whitney forms to metamaterials: a rigorous homogenization theory, Nanometa'2011, Seefeld, Austria.
  7. Igor Tsukerman, Non-traditional finite difference and boundary difference schemes (invited plenary talk), IGTE'10, Graz, Austria, September 2010.
  8. C. Classen, B. Bandlow, R. Schuhmann, I. Tsukerman,  FIT & FLAME for sharp edges in electrostatics, Proceedings of 2010 URSI International Symposium on Electromagnetic Theory (EMTS), pp. 56-59; Berlin, 16-19 August 2010.
  9. Guillaume Krebs, Stéphane Clénet and Igor Tsukerman, Overlapping finite elements for arbitrary surfaces in 3D, Compumag'09, Florianópolis, Brazil, November 2009.
  10. Igor Tsukerman, Superfocusing by plasmonic/dielectric layers, Nanometa'2009, Seefeld, Austria.
  11. Igor Tsukerman, František Cajko, Plasmonic Bloch modes: computational methods and sensitivity to external factors (invited paper),  SPIE Optics & Photonics Convention, Paper 7095-23, San Diego, August 2008.
  12. Igor Tsukerman, Cell size bounds for negative-index metamaterials: plasmonic and non-plasmonic cases,  SPIE Optics & Photonics Convention, Paper 7029-43, San Diego, August 2008.
  13. Igor Tsukerman, František Cajko, Computational methods for plasmonic and tunable photonic crystals,  SPIE Optics & Photonics Convention, Paper 7032-54, San Diego, August 2008.
  14. Igor Tsukerman, Plasmonic crystals: computational methods and negative refraction, Gordon Research Conference on Plasmonics, Tilton, NH, July 2008.
  15. F. Cajko, I. Tsukerman, A. Sokolov, M. Brehm, A. Schliesser, and F. Keilmann, Electrodynamic simulation of plasmonic enhancement and antenna effects in near-field microscopy, Gordon Research Conference on Plasmonics, Tilton, NH, July 2008.
  16. Igor Tsukerman, Can negative-index materials be homogeneous?  Paper 6987-65, Photonics Europe, April 2008.
  17. František Cajko, Igor Tsukerman, Fritz Keilmann, and Rainer Hillenbrand, Finite element electrodynamic simulations in near-field infrared microscopy, Paper 6988-22, Photonics Europe, April 2008.
  18. František Cajko and Igor Tsukerman, Flexible approximation schemes for wave refraction in negative index materials, 16th International Conference on the Computation of Electromagnetic Fields (Compumag 2007), June 24-28, 2007, Aachen, Germany.
  19. Jianhua Dai and Igor Tsukerman, Flexible approximation schemes with adaptive grid refinement, 16th International Conference on the Computation of Electromagnetic Fields (Compumag), June 24-28, 2007, Aachen, Germany.
  20. Igor Tsukerman and František Cajko, New methods and applications in nanophotonics, 16th International Conference on the Computation of Electromagnetic Fields (Compumag), June 24-28, 2007, Aachen, Germany.
  21. M. Sosonkina, I. Tsukerman, E. Ivanova, S. Voskoboynikov, Iterative solution techniques for flexible approximation schemes in multiparticle simulations,  9th Copper Mountain Conference on Iterative Methods, April 2006.
  22. J. Dai, I. Tsukerman, A. Rubinstein, S. Sherman, New electrostatic models and computational methods for macromolecules in solvents, Twelfth Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2006), Miami, FL, April 30 - May 3, 2006.
  23. J. Dai, I. Tsukerman, Flexible difference schemes with numerical bases for electrostatic particle interactions, Twelfth Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2006), Miami, FL, April 30 - May 3, 2006.
  24. H. Pinheiro, J.P. Webb, I. Tsukerman, Scattering in photonic crystal devices using the Flexible Local Approximation Method, Twelfth Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2006), Miami, FL, April 30 - May 3, 2006.
  25. I. Tsukerman, F. Cajko, A. Kisliuk, A.P. Sokolov, Design of apertureless tips with very high plasmon field enhancement, Photonics Europe 2006, April 2006, Strasbourg, France.
  26. I. Tsukerman, F. Cajko,  J. Dai, Computational electromagnetics: "Plenty of room at the bottom", CEM 2006: Sixth International Conference on Computation in Electromagnetics, April 2006, Aachen, Germany.
  27. N. Lee, R.D. Hartschuh, D. Mehtani, A. Kisliuk, M. D. Foster, A. P. Sokolov, I. Tsukerman, Optical properties of tips for apertureless near-field microscopy, the Great Lakes Photonics Symposium, 12-16 June 2006, Dayton, Ohio.
  28. I. Tsukerman, F. Cajko, A.P. Sokolov, New simulation methods for nanoscale photonic structures and negative-refraction materials, the Great Lakes Photonics Symposium, 12-16 June 2006, Dayton, Ohio.
  29. Masha Sosonkina and Igor Tsukerman, Parallel solvers for flexible approximation schemes in multiparticle simulation, ICCS 2006: "Advancing Science through Computation", University of Reading, UK, May 28-31, 2006.
  30. Igor Tsukerman, F. Cajko,  A.P. Sokolov, Traditional and new simulation techniques for plasmon nanoparticles and photonic crystals, The 5th International Conference on Photonics, Devices and Systems, Prague, Czech Republic, June 2005.
  31. Igor Tsukerman, F. Cajko,  A.P. Sokolov, New finite-difference calculus for simulations in nanoscale optics and photonics, Optics & Photonics 2005, San Diego CA, 31 July - 4 August 2005.
  32. D. Mehtani, N.H. Lee, R. Hartschuh, A. Kisliuk, M.D. Foster, A.P. Sokolov, Igor Tsukerman, Optical properties of the tips for apertureless near-field microscopy, Optics & Photonics 2005, San Diego CA, 31 July - 4 August 2005.
  33. Igor Tsukerman, Electromagnetic finite-difference analysis without the 'staircase' effect, 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, Honolulu HI, April 2005.
  34. Igor Tsukerman, A new computational method for plasmon resonances of nanoparticles, 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, Honolulu HI, April 2005.
  35. Igor Tsukerman, Gary Friedman, Derek Halverson, New computational methods for long-range electromagnetic interactions on the nanoscale, Nanotech'2004,  Boston MA.
  36. Gary Friedman, Benjamin Yellen and Igor Tsukerman, Design and simulation of magnetically controlled nanoscale assembly, Fourth IEEE Conference on Nanotechnology, Munich, Germany, August 2004.
  37. Gary Friedman, Benjamin Yellen and Igor Tsukerman, Magnetically controlled assembly of micro- and nanoparticles and its simulation, 5th International Conference on Magnetic Microspheres, Lyon, France, May 2004.
  38. Achim Basermann, Igor Tsukerman, Parallel Generalized Finite Element Method for magnetic multiparticle problems, Proceedings of VECPAR'04, vol. I, pp.9-22.
  39. Igor Tsukerman, Gary Friedman, Fast Fourier Transform Methods for magnetic fields of patterned media, Proceedings of the 9th Joint MMM-Intermag Conference, Anaheim, CA, January 2004.
  40. D. Halverson, G. Friedman Igor Tsukerman, Flexible local approximation method for open boundary problems, Proceedings of the 9th Joint MMM-Intermag Conference, Anaheim, CA, January 2004. 
  41. Igor Tsukerman, Efficient computation of long-range electromagnetic interactions without Fourier Transforms, Proceedings of the 9th Joint MMM-Intermag Conference, Anaheim, CA, January 2004.
  42. Igor Tsukerman, New computational methods for electrostatics in macromolecular simulation, Proceedings of Bioinformatics'2003, Stanford, August 2003.
  43. Igor Tsukerman, Finite Element Difference Schemes for electro- and magnetostatics, Compumag'2003, Saratoga Springs,  NY. 
  44. Igor Tsukerman, Generalized Finite Element Method for scalar and vector problems in electromagnetism, invited paper, Scientific Computing in Electrical Engineering (SCEE-2002), Eindhoven, The Netherlands, June 2002.
  45. Igor Tsukerman, Some paradoxes and misconceptions in computational electromagnetics, IEEE CEFC Conference, Perugia, Italy, June 2002. 
  46. Igor Tsukerman, Tetrahedral edge elements by symbolic algebra, IEEE CEFC Conference, Perugia, Italy, June 2002. 
  47. Igor Tsukerman, General tangentially continuous vector elements, IEEE CEFC Conference, Perugia, Italy, June 2002. 
  48. Alexander Plaks, Igor Tsukerman, G. Friedman, B. Yellen, Generalized Finite Element Method for magnetized nanoparticles, IEEE CEFC Conference, Perugia, Italy, June 2002. 
  49. Igor Tsukerman, A Priori  error estimates in conventional and generalized electromagnetic FEM,  Compumag'2001, Panel Session, Evian, France, July 2001.
  50. Leonid Proekt, Igor Tsukerman, Method of overlapping patches for electromagnetic computation, Compumag'2001, Evian, France, July 2001.
  51. Leonid Proekt, Sergey Yuferev, Igor Tsukerman, Nathan Ida, Method of overlapping patches for electromagnetic computation near imperfectly conducting cusps and edges, Compumag'2001, Evian, France, July 2001.
  52. I.A. Tsukerman, V.V. Dombrovski, Finite element simulation of time-dependent electromagnetic fields in the end zone of superconducting motors, Compumag'2001, Evian, France, July 2001.
  53. Igor Tsukerman and Leonid B. Proekt, Generalized scalar and vector elements for electromagnetic computation, XI International Symposium on Theoretical Electrical Engineering, Linz, Austria, August 2001.
  54. Igor Tsukerman, Finite Element Differential-Algebraic Systems for eddy current problems, Auckland Numerical Ordinary Differential Equations (ANODE), Auckland, New Zealand, January 2001.
  55. Alexander Plaks, Igor Tsukerman, Adaptive multigrid methods for unbounded problems, with applications in geophysics, 16th IMACS World Congress 2000 on Scientific Computation, Applied Mathematics and Simulation, August 2000, Swiss Federal Institute of Technology.
  56. Alexander Plaks, Igor Tsukerman,  Adaptive mesh refinement in open boundary problems,  5th International Workshop on Finite Elements for Microwave Engineering, Boston, June 2000.
  57. Alexander Plaks, Igor Tsukerman, Adaptive multigrid methods for open boundary problems in layered media, IEEE CEFC Conference, Milwaukee, WI, June 2000.
  58. Leonid Proekt and Igor Tsukerman, Accuracy of the Finite Element solution of a wave problem with a non-planar Perfectly Matched Layer, IEEE CEFC Conference, Milwaukee, WI, June 2000.
  59. Alexander Plaks, Igor Tsukerman, Preconditioned adaptive hierarchical basis multigrid method for electromagnetic applications,  invited paper at XXVIth General Assembly of the International Union of Radio Science (URSI),  Toronto, August 1999.
  60. I.A. Tsukerman, Alexander Plaks, Finite Element Matrices and a priori Error Estimates,  invited paper, MAFELAP (Mathematics of Finite Elements and Applications),  London, UK, June 1999.
  61. I.A.Tsukerman, Alexander Plaks, Finite Element Matrices and Interpolation Errors, SciCade Conference, Fraser Island, Australia, August 1999.
  62. Leonid Proekt,  Igor Tsukerman,  David Smith, Sheldon Schultz, Olivier Martin, Numerical modeling of scattering from a dispersive sphere, International Symposium on Nonlinear Electromagnetic Systems, Pavia, Italy, May 1999.
  63. Alexander Plaks, Igor Tsukerman, S. Painchaud, and L. Tabarovsky, Multigrid methods for open boundary problems in geophysics, Compumag'99, Sapporo, Japan, 1999.
  64. Igor Tsukerman  and  Alexander Plaks,  BPX-preconditioned fully adaptive multigrid for micromagnetic problems, 11th International Conference on Domain Decomposition,  Greenwich, UK, July 1998.
  65. Igor Tsukerman  and  Alexander Plaks,  Interpolation errors and two refinement strategies for tetrahedra, 11th International Conference on Domain Decomposition,  Greenwich, UK, July 1998.
  66. Igor Tsukerman and Alexander Plaks, Hierarchical basis multilevel preconditioners for 3D magnetostatic problems, IEEE CEFC Conference, Tucson AZ, 1998.
  67. Igor Tsukerman and Alexander Plaks, Refinement strategies and approximation errors for tetrahedral elements, IEEE CEFC Conference, Tucson AZ, 1998
  68. I.A.Tsukerman, Alexander Plaks, H.N. Bertram, Multigrid methods for computation of magnetostatic fields in magnetic recording problems, 7th Joint  MMM-Intermag Conference, San Francisco, January 1998.
  69. Igor Tsukerman, A. Bossavit, Shape of finite elements and approximation in electro-magnetics, Proceedings of the International Symposium ISTET'97,  Palermo, Italy, June 1997.
  70. I.A. Tsukerman, Alexander Plaks, Comparison of accuracy criteria for approximation of conservative fields on tetrahedra,  Compumag'97, Rio de Janeiro, 1997.
  71. I.A. Tsukerman, A general accuracy criterion for finite element approximation, Compumag'97, Rio de Janeiro, 1997.
  72. I.A. Tsukerman,  Approximation of conservative fields and the element 'edge shape matrix', Compumag'97, Rio de Janeiro, 1997.
  73. I.A. Tsukerman, Stability of the moment method in electromagnetic problems, IEEE CEFC Conference, Okayama, Japan, March 1996.  http://www.eplab.elec.okayama-u.ac.jp/cefc.html  
  74. I.A. Tsukerman, E. Sidoriak, J. D. Lavers, K.Weeber, H. Karmaker, Simulation of time-dependent fields and eddy currents with circuits and rotor motion in electrical machines, Proceedings of Compumag'95, Berlin, Germany, July 1995.
  75. I.A. Tsukerman, J.D. Lavers, A. Konrad, K. Weeber, H. Karmaker, Finite element analysis of static and time-dependent fields and forces in a synchronous motor, Proceedings of the International Conference on Electrical Machines, Paris, France, 1994.
  76. I.A. Tsukerman, Accurate computation of  'ripple solutions' on moving finite element meshes, IEEE CEFC Conference, Aix-les-Bains, France, 1994.
  77. I.A. Tsukerman, J.D. Lavers, A. Konrad, Using complementary formulations for accurate computations of magnetostatic fields and forces in a synchronous motor, Compumag'93,  Miami, FL, November 1993.
  78. I.A. Tsukerman, Application of multilevel preconditioners to finite element magnetostatic problems, Compumag'93, Miami, FL, November 1993.
  79. I.A. Tsukerman, Fast finite element solvers for problems with magnetic materials, Intermag'93, Stockholm, Sweden, 1993.
  80. I.A. Tsukerman, Node and edge element approximation of discontinuous fields and potentials, Intermag'93, Stockholm, Sweden, 1993.
  81. I.A. Tsukerman, A. Konrad, G. Meunier and J.C. Sabonnadiere, Coupled field-circuit problems: trends and accomplishments, IEEE CEFC Conference, Harvey Mudd College, Claremont, CA, August 1992. 
  82. I.A. Tsukerman, Overlapping finite elements for problems with movement, Intermag'92, St. Louis, MO, 1992. 
  83. Yu.P. Kizimovich, I.A. Tsukerman, Numerical modelling of the 3 D quasi stationary field on the basis of the "optimal" formulation, Proceedings of the third conference "Problemy nelineynoj elektrotekhniki". Part 3. Kiev, USSR, 1988, pp.57 60 [in Russian].
  84. G.M. Khutoretsky, V.D. Varshavsky, I.A. Tsukerman, Yu.P. Kizimovich, I.N. Greenbaum, V.I. Leonov, Investigation of electromagnetic processes in the 300 MW superconducting turbine generator, Proceedings of  the 9th international conference "Cryogenics 88", Usti na Labe, Czechoslovakia, 1988, pp.11-18 [in Russian].
  85. K.S. Demirchian, Yu.V. Rakitsky, Yu.P. Kizimovich, I.A. Tsukerman, Computation of the 3 D electromagnetic fields by means of the scalar potential method: numerical methods and software, Proceedings of the First Conference on Theoretical Electrical Engineering, Tashkent, USSR, 1987, pp.67-68 [in Russian].
  86. Yu.P. Kizimovich, I.A. Tsukerman, Mathematical modelling of the 3 D electromagnetic field under steady state and transient conditions by means of the scalar magnetic potential,  Proceedings of the First Conference on Theoretical Electrical Engineering, Tashkent, USSR, 1987, p.149 [in Russian].
  87. Yu.V. Rakitskii, Yu.P. Kizimovich, I.A. Tsukerman, A program package for electromagnetic field computations in axially symmetric domains, Proceedings of the seminar "Computational Methods and Mathematical Modeling", Krasnoyarsk, USSR, 1986, p.69 [in Russian].
  88. Yu.P. Kizimovich, I.A. Tsukerman, Numerical modeling of the spatially periodic quasi stationary electromagnetic field, in: Modern Problems of Power Engineering, Kiev, USSR, 1985, pp.121-123 [in Russian].
Other Papers
  1. Igor Tsukerman, The anatomy of negative refraction, The International Compumag Society Newsletter (ISSN 1026-0854), vol. 14, No. 3, November 2007, pp. 3-16.
  2. Igor Tsukerman, Negative refraction requires strong inhomogeneity,  http://arxiv.org/abs/0710.0011
  3. Igor Tsukerman, A new FD calculus: simple grids for complex problems, The International Compumag Society Newsletter (ISSN 1026-0854), vol. 12, No. 2, July 2005,  pp. 3-17.
  4. I.A. Tsukerman, L.B. Proekt, Generalized scalar and vector elements for electromagnetic computation, The International Compumag Society Newsletter (ISSN 1026-0854), vol. 8, No. 2, July 2001, pp.6-12.
  5. Igor Tsukerman, A paradox of two rods, The International Compumag Society Newsletter (ISSN 1026-0854), vol. 8, No. 2, July 2001, p. 21.
  6. Igor Tsukerman, How flat are flat elements? The International Compumag Society Newsletter (ISSN 1026-0854), vol. 5, No. 1, March 1998, pp. 7-12.
Home   Courses   Research   Publications  FAQ   Bio
Computational Methods for Nanoscale Applications
Plasmonics and Plasmonic Metamaterials