Journal Papers

  1. S. Harizanov, R. Lazarov, S. Margenov, P. Marinov, J. Pasciak, Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation, Journal of Computational Physics (2020), https://doi.org/10.1016/j.jcp.2020.109285
  2. R. Čiegis, V. Starikovičius, S. Margenov, R. Kriauzienė, Scalability analysis of different parallel solvers for 3D fractional power diffusion problems, Concurrency and Computation: Practice and Experience 31 (19)(2019), e5163
  3. S. Harizanov, R. Lazarov, S. Margenov, P. Marinov, Numerical solution of fractional diffusion–reaction problems based on BURA, Computers & Mathematics with Applications (2019), https://doi.org/10.1016/j.camwa.2019.07.002
  4. S. Harizanov, R. Lazarov, S. Margenov, P. Marinov, Y. Vutov, Numerical Linear Algebra with Applications 25 (5) (2018), e2167
  5. R. Čiegis, V. Starikovičius, S. Margenov, R. Kriauzienė, Parallel solvers for fractional power diffusion problems, Concurrency and Computation: Practice and Experience 29 (24) (2017), e4216
  6. R. Blaheta, I. Georgiev, K. Georgiev, O. Jakl, R. Kohut, S. Margenov, J. Starý, High Performance Computing Applications, Cybernetics and Information Technologies 17 (5) (2017), 5-16
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12.   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
  13.  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
  14.  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
  15.  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
  16.  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
  17. 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
  18. S. Stoykov, S. Margenov, Nonlinear Vibrations of 3D Laminated Composite Beams, Mathematical Problems in Engineering (2014) Article ID 892782, DOI: 10.1155/2014/892782
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. P. Boyanova, S. Margenov, M. Neytcheva, Robust AMLI Methods for Time-dependent FEM Systems, J. Comp. Appl. Math. (2010), 380-390, IF: 1.138
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. I. Georgiev, J. Kraus, S. Margenov, Multilevel algoritms for Rannacher-Turek finite element approximation of 3D elliptic problems, Computing, 82(2008), 217-239
  36. S. Margenov, Y. Vutov,  Preconditioning of Voxel FEM Elliptic Systems, TASK, Quaterly, 11, No 1-2 (2007), 117-128
  37. 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
  38. 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
  39. I. Georgiev, S. Margenov, Element preconditioning technique for rotated bilinear FEM elliptic systems, Mathematica Balkanica, Vol. 20 (2006), 39-48
  40. I. Georgiev, J. Kraus,  S. Margenov, Two-level algorithms for Rannacher-Turek FEM, Problems in Programming, Sc. J., 2-3 (2006), 694-700
  41. O. Axelsson, L. Laayouni, S. Margenov, Robust multilevel preconditionersfor second order elliptic equations and systems of equations, Mathematica Balkanica, Vol. 19 (2005), 321-348
  42. 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
  43. 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
  44. 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
  45. 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
  46. 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
  47. 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
  48. Tz. Kolev, S. Margenov, Two-level preconditioning of pure displacement non-conforming FEM systems}, Numerical Linear Algebra with Applications, 6 (1999), 533-555
  49. A. Georgiev, S. Margenov, M. Neytcheva, Multilevel algorithms for 3D simulation of nonlinear elasticity problems, Mathematics and Computers in Simulation, 50 (1999), 175-182
  50. S. Margenov, Semicoarsening AMLI algorithms for elasticity problems, Numerical Linear Algebra with Applications, 5 (1998), 347-362
  51. I. Lirkov, S. Margenov, L. Zikatanov, Circulant block-factorization preconditioning of anisotropic problems,  Computing, Vol. 58(3) (1997), 245-258
  52. 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
  53. R. Ewing, S. Margenov, P. Vassilevski, Preconditioning the biharmonic equation by multilevel iterations,  Mathematika Balcanica, Vol.10(1996), 121-132
  54. 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
  55. 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
  56. 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
  57. I. Lirkov, S. Margenov, P.S. Vassilevski, Circulant block-factorization preconditioners for elliptic problems, Computing, Vol.53(1) (1994), 59-74
  58. S. Margenov, P.S. Vassilevski, Algebraic multilevel preconditioning of anisotropic elliptic problems, SIAM J. Sci. Comp., V.15(5) (1994), 1026-1037
  59. K. Georgiev, S. Margenov, On domain decomposition preconditioning of plane elasticity problems, Mathematica  Balkanica, Vol. 6 (2) (1992), 173-181
  60. K. Georgiev, S. Margenov, On  the domain decomposition methods for elliptic problems with discontinueses coefficients, Numerical Algorithms, Vol. 12 (1992), 281-292
  61. V. Eijkhout, S. Margenov, Preconditioned iterative solution of spline finite element systems, Mathematica Balkanica, Vol.4 (1990), 350-367
  62. N. Grozev, S. Margenov, Automatic  static  solution  of  curvilinear shell bridge structures, Roads, Vol. 8, Sofia (1983), 16-18 (in Bulgarian)
  63. 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)
  64. 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)