Journal Papers

  1. V. Kyovtorov, I. Georgiev, S. Margenov, D. Stoychev, F. Oliveri, D Tarchi, New antenna design approach – 3D polymer printing and metalization: experimental test at 14–18 GHz, AEU - International Journal of Electronics and Communications 73 (2017), 119-128
  2. S. Stoykov, S. Margenov, Numerical methods and parallel algorithms for computation of periodic responses of plates, Journal of Computational and Applied Mathematics 310 (2017), 200-212
  3. S. Harizanov, S. Margenov, P. Marinov, Y. Vutov, Volume constrained 2-phase segmentation method utilizing a linear system solver based on the best uniform polynomial approximation of x^{−1/2}, Journal of Computational and Applied Mathematics 310 (2017), 115-128
  4. S. Stoykov, E. Manoach, S. Margenov, An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 96(7)(2016), 791-812
  5. J. Kraus, R. Lazarov, M. Lymbery, S. Margenov, L. Zikatanov, Preconditioning heterogeneous h(div) problems by additive Schur complement approximation and applications, SIAM Journal on Scientific Computing 38(2) (2016), A875-A898
  6.   S. Stoykov, S. Margenov, Scalable parallel implementation of shooting method for large-scale dynamical systems. Application to bridge components, Journal of Computational and Applied Mathematics 293 (2015), 223-231
  7.  R.F. Sviercoski, P. Popov, S. Margenov, An analytical coarse grid operator applied to a multiscale multigrid method, Journal of Computational and Applied Mathematics, Vol. 287 (15) (2015), 207-219
  8.  M. Mihajlovic, L. A. Bongo, R. Ciegis, N. Frasheri, D. Kimovski, P. Kropf, S. Margenov, M. Neytcheva, T. Rauber, G. Runger, R. Trobec, R. Wuyts, R. Wyrzykowski, J. Gong, Applications for ultrascale computing, Supercomputing frontiers and innovations, Vol.2 (1) (2015). 19-48
  9.  S. Stoykov, E. Manoach, S. Margenov, An efficient 3D numerical beam model based on cross sectional analysis and Ritz approximations, ZAMM - Journal of Applied Mathematics and Mechanics (2015), DOI 10.1002/zamm.201400139
  10.  J. Kraus, M. Lymbery, S. Margenov, Robust Multilevel Methods for Quadratic Finite Element Anisotropic Elliptic Problems, Numer. Linear Algebra Appl., Vol. 21 (3) (2014) ISSN 1099-1506, 375-398
  11. Kraus, J., Lymbery, M., and Margenov, S. Auxiliary space multigrid method based on additive Schur complement approximation, Numer. Linear Algebra Appl. (2014) DOI: 10.1002/nla.1959
  12. S. Stoykov, S. Margenov, Nonlinear Vibrations of 3D Laminated Composite Beams, Mathematical Problems in Engineering (2014) Article ID 892782, DOI: 10.1155/2014/892782
  13. I. Georgiev, S. Margenov, Semi-coarsening AMLI preconditioning of anisotropic trilinear FEM, 2014, 67, Systems, Computers and Mathematics with Applications, 67 (2014)        doi:10.1016/j.camwa.2014.07.030, 2103–2111
  14. S. Stoykov, S. Margenov, Numerical computation of periodic responses of nonlinear large-scale systems by shooting method, Computers & Mathematics with Applications, 67 (2014) doi:10.1016/j.camwa.2014.07.030,  2257-2267
  15. J. Kraus, M. Lymbery, S. Margenov, Robust Multilevel Methods for Quadratic Finite Element Anisotropic Elliptic Problems, Numerical Linear Algebra With Applications (2013), DOI: 10.1002/nla.1876
  16. Y. Efendiev, J. Galvis, R. Lazarov, S. Margenov, J. Ren, Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media, Comput. Methods Appl. Math, Volume 12, Issue 4 (2012), 415-436
  17. Lymbery, M., Margenov, S.: Robust Semi-Coarsening Multilevel Preconditioning of Biquadratic FEM Systems, Cent. Eur. J. Math. 10(1) (2012), 357-369, DOI: 10.2478/s11533-011-0082-3, IF: 0.581
  18. P. Boyanova, I. Georgiev, S. Margenov, and L. Zikatanov, Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses, Math. Comp. Simulation (2012), http://dx.doi.org/10.1016/j.matcom.2012.06.009, IF: 0.738
  19. P. Boyanova, S. Margenov, Robust Multilevel Methods for Elliptic and Parabolic Problems, chapter in: O. Axelsson, J. Karatson, Efficient Preconditioning Methods for Elliptic Partial Differential Equations, Bentham Science Publishers (2011), eISBN 978-1-60805-291-2, 3-22
  20. M. Lymbery,S. Margenov, Robust Semi-Coarsening Multilevel Preconditioning of Biquadratic FEM Systems, Cent. Eur. J. Math. (2011), DOI 10.2478/s11533-011-0082-3
  21. P. Boyanova, S. Margenov, M. Neytcheva, Robust AMLI Methods for Time-dependent FEM Systems, J. Comp. Appl. Math. (2010), 380-390, IF: 1.138
  22. P. Boyanova, S. Margenov, On Multilevel Iterative Methods for Navier-Stokes Problems, Journal of Theoretical and Applied Mechanics, vol. 40, No. 1, vol. 40 (2010), 51-60
  23. S. Margenov, N. Kosturski, MIC(0) preconditioning of 3D FEM problems on unstructured grids: conforming and non-conforming elements, Journal of Computational and Applied  Mathematics, 226 (2009), 288-297, IF: 1.138
  24. I. Georgiev, J. Kraus, S. Margenov, J. Schicho, Loacally optimized MIC(0) preconditioning of Rannacher-Turek FEM systems, Applied Numerical Mathematics, 59 (2009), 2402 - 2415
  25. J. Kraus, S. Margenov and J. Synka, On  the multilevel preconditioning of Crouzeix-Raviart elliptic problems Numerical Linear Algebra with Applications, 15 (2008), 395-416
  26. P. Arbenz, S. Margenov, Y. Vutov, Parallel MIC(0) preconditioning of 3D elliptic problems discretized by Rannacher-Turek finite elements, Computers and Mathematics with Applications, 55 (10) (2008), 2197-2211
  27. I. Georgiev, J. Kraus,  S. Margenov, Multilevel preconditioning of rotated bilinear non-conforming FEM problems, Computers and Mathematics with Applications, 55 (10) (2008), 2280-2294
  28. W. Kuranowski, M. Ganzha, M. Gawinecki, M. Paprzycki, I. Lirkov, S. Margenov, Forming and managing agent teams acting as resource brokers in the Grid-preliminary considerations, International Journal of Computational Intelligence Research, 4 (1) (2008), 9-16
  29. I. Georgiev, J. Kraus, S. Margenov, Multilevel algoritms for Rannacher-Turek finite element approximation of 3D elliptic problems, Computing, 82(2008), 217-239
  30. S. Margenov, Y. Vutov,  Preconditioning of Voxel FEM Elliptic Systems, TASK, Quaterly, 11, No 1-2 (2007), 117-128
  31. R.D. Lazarov, S.D. Margenov, CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems, Journal of Complexity, 23 (2007), 498-515
  32. S. Margenov, P. Minev, On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems, Mathematics and Computers in Simulation, 76 (2007), 149-154
  33. I. Georgiev, S. Margenov, Element preconditioning technique for rotated bilinear FEM elliptic systems, Mathematica Balkanica, Vol. 20 (2006), 39-48
  34. I. Georgiev, J. Kraus,  S. Margenov, Two-level algorithms for Rannacher-Turek FEM, Problems in Programming, Sc. J., 2-3 (2006), 694-700
  35. O. Axelsson, L. Laayouni, S. Margenov, Robust multilevel preconditionersfor second order elliptic equations and systems of equations, Mathematica Balkanica, Vol. 19 (2005), 321-348
  36. R. Blaheta, S. Margenov, M.Neytcheva, Robust optimal multilevel preconditioners for non-conforming finite element systems, Numerical Linear Algebra with Applications, 12 (2005), 495-514
  37. G. Bencheva, S. Margenov, Performance analysis of parallel MIC(0)preconditioning of rotated bilinear nonconforming FEM systems, Mathematica Balkanica, Vol. 17 (3-4) (2003), 319-335
  38. R. Blaheta, S. Margenov, M.Neytcheva, Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems, Numerical Linear Algebra with Applications, Vol. 11 (4) (2004), 309-326
  39. I. Georgiev, S. Margenov, DD-MIC(0) preconditioning of rotated trilinear FEM elasticity systems, Journal of Computer Assisted Mechanics and Engineering Sciences, 11(2004), 197-209
  40. O. Axelsson, S. Margenov, On multilevel preconditioners which are optimal with respect to both problem and discretization parameters, Computational Methods in Applied Mathematics, Vol. 3 (1) (2003),6-22
  41. G. Bencheva, S. Margenov, Parallel incomplete factorization  preconditioning of rotated linear FEM systems, Journal of Computational and Applied Mechanics, V.4(2) (2003), 105-117
  42. Tz. Kolev, S. Margenov, Two-level preconditioning of pure displacement non-conforming FEM systems}, Numerical Linear Algebra with Applications, 6 (1999), 533-555
  43. A. Georgiev, S. Margenov, M. Neytcheva, Multilevel algorithms for 3D simulation of nonlinear elasticity problems, Mathematics and Computers in Simulation, 50 (1999), 175-182
  44. S. Margenov, Semicoarsening AMLI algorithms for elasticity problems, Numerical Linear Algebra with Applications, 5 (1998), 347-362
  45. I. Lirkov, S. Margenov, L. Zikatanov, Circulant block-factorization preconditioning of anisotropic problems,  Computing, Vol. 58(3) (1997), 245-258
  46. T. Chan, S. Margenov, P. Vassilevski, Performance of block-ILU factorization preconditioners based on block-size reduction for 2D elasticity systems, SIAM J. Sci. Comp., 18 (1997), 1355-1366
  47. R. Ewing, S. Margenov, P. Vassilevski, Preconditioning the biharmonic equation by multilevel iterations,  Mathematika Balcanica, Vol.10(1996), 121-132
  48. S. Margenov, J. Maubach, Optimal algebraic multilevel preconditioning for local refinement along a line, Numerical Linear Algebra with Applications, Vol.2, No.4 (1995), 317-334
  49. R.E. Ewing, O.P. Iliev, S.D. Margenov, P.S. Vassilevski, Numerical study of three multilevel preconditioners for solving 2D Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 121 (1995), 177-186
  50. S. Margenov, Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations, Numerical Linear Algebra with Applications, Vol. 1(1) (1994), 65-74
  51. I. Lirkov, S. Margenov, P.S. Vassilevski, Circulant block-factorization preconditioners for elliptic problems, Computing, Vol.53(1) (1994), 59-74
  52. S. Margenov, P.S. Vassilevski, Algebraic multilevel preconditioning of anisotropic elliptic problems, SIAM J. Sci. Comp., V.15(5) (1994), 1026-1037
  53. K. Georgiev, S. Margenov, On domain decomposition preconditioning of plane elasticity problems, Mathematica  Balkanica, Vol. 6 (2) (1992), 173-181
  54. K. Georgiev, S. Margenov, On  the domain decomposition methods for elliptic problems with discontinueses coefficients, Numerical Algorithms, Vol. 12 (1992), 281-292
  55. V. Eijkhout, S. Margenov, Preconditioned iterative solution of spline finite element systems, Mathematica Balkanica, Vol.4 (1990), 350-367
  56. N. Grozev, S. Margenov, Automatic  static  solution  of  curvilinear shell bridge structures, Roads, Vol. 8, Sofia (1983), 16-18 (in Bulgarian)
  57. S. Margenov, An application of parabolic and cubic splines to solution of mixed boundary value problems of fourth order on a rectangle, Serdica, Vol. 7, Sofia (1981), 211-216 (in Russian)
  58. N. Grozev, S. Margenov, An application of parabolic  splines  to  static solution of curvilinear bridge plates, Roads, Vol. 3, Sofia (1980), 8-10 (in Bulgarian)