Papers in Conference Proceedings

  1. D. Slavchev, S. Margenov, Scalability Analysis of Solvers based on Hierarchical Compression of Dense Matrices and Gaussian Elimination, Proceedings of the International Conference Numerical Methods for Scientific Computations and Advanced Applications (NMSCAA’18), Hissarya, Bulgaria, Fastumprint, Technically co-sponsored by IEEE PS Computer Society Chapter (2018), 68-71
  2. S. Harizanov, N. Kosturski, R. Lazarov, S. Margenov, P. Marinov, Y. Vutov, Numerical Methods for Fractional-in-Space Diffusion Problems, Proceedings of the International Conference Numerical Methods for Scientific Computations and Advanced Applications (NMSCAA’18), Hissarya, Bulgaria, Fastumprint, Technically co-sponsored by IEEE PS Computer Society Chapter (2018), 50-53
  3. S. Stoykov, S. Harizanov, S. Margenov, Space discretization by B-Splines on discontinuous problems in structural mechanics, Proceedings of the 7th Balkan Conference on Informatics, ACM, BCI' (2015), 31:1-31:7
  4. J. Kraus, R. Lazarov, M. Lymbery, S. Margenov, L. Zikatanov, Robust Preconditioning of Darsy Problem for Highly Heterogeneous Media, Numerical Methods for Scientific Computations and Advanced Applications, Bansko, Bulgaris, Proceedings (2014) ISBN 978-954-91700-7-8, 65-69
  5. R. Sviercoski, S. Margenov, A Multiscale Multigrid Algorithm Applied to Bone Tissue Modelling, Numerical Methods for Scientific Computations and Advanced Applications, Bansko, Bulgaris, Proceedings (2014) ISBN 978-954-91700-7-8, 107-110
  6. K. Georgiev, N. Kosturski, S. Margenov and Y. Vutov: Supercomputing simulation of radio-frequency hepatic tumor ablation, Proc. of the first VAST – BAS Workshop on Science and Technology, N. Khoa Son Edt ( 2014) ISBN 978-604-913-304-6, 11-18
  7. S. Stoykov, S. Margenov, Nonlinear Vibrations of Rotating 3D Tapered Beams with Arbitrary Cross Sections, Proceedings of the 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis, P. Papdopoulos (eds.), Kos, Greece (2013), Paper id.: 1479, 15 p
  8. S. Stoykov, S. Margenov, Nonlinear Free Vibrations of 3D Composite Beams, Proceedings of the 11th International Conference on Vibration Problems, Z. Dimitrovova, J. Almeida, R. Goncalves (eds.), Lisbon, Portugal (2013), Paper id: 164, 10 p.
  9. I. Georgiev, J. Kraus, M. Lymbery, S. Margenov, On Two-level Splittings for Quadratic FEM Anisotropic Elliptic Problems, Proceedings of 5th Annual meeting of the Bulgarian Section of SIAM, Demetra, Sofia (2011), 35-40
  10. S. Margenov, Supercomputing Applications: Efficient Methods, Algorithms and Softwere Tools, Proceedings "Automatics and Informatics'11", John Atanasoff Society of Automatics and Informatics (2011), A-21-A-27 (in Bulgarian)
  11. I. Georgiev, S. Margenov, Locally Optimized MIC(0) Preconditioning of Rotated Bilinear FEM Systems, Proceedings of 4th Annual Meeting of the Bulgarian Section of SIAM, Demetra, Sofia (2010), 34-38
  12. R. Sviercoski, S. Margenov, A Hybrid Multiscale Multigrid Approach by Incorporating Analytical Results, Proceedings of 4th Annual Meeting of the Bulgarian Section of SIAM, Demetra, Sofia (2010), 111-116
  13. N. Kosturski, S. Margenov, Y. Vutov, N. Kosturski, S. Margenov, Y. Vutov, Efficient Solution of ?FEM Elasticity Problems in the case of Almost Incompressible Materials, Proceedings of 3rd Annual  Meeting of the Bulgarian Section of SIAM (2009), 65-68
  14. P. Boyanova, S. Margenov, On AMLI Preconditioning of Graph-Laplacians: Properties of the Two-Level Method, Proceedings of 3rd Annual Meeting of the Bulgarian Section of SIAM (2009), 19-22
  15. K. Georgiev, N. Kosturski, S. Margenov, On the Adaptive Time-Stepping for Large Scale Parabolic Problems: Computer Simulation of Heat and Mass Transfer in Vacuum Freeze-Drying, Proceedings of 2nd Annual Meeting of the Bulgarian Section of SIAM (2008), C8-C11
  16. N. Kosturski, S. Margenov, MIC(0) Preconditioning of 3D FEM Problems on Unstructured Grids: Conforming and Nonconforming Elements, Proceedings of 2nd Annual Meeting of the Bulgarian Section of SIAM  (2008), C30-C33
  17. S. Margenov, Y. Vutov, Parallel PCG Algorithms for Voxel Elasticity Problems, Proceedings of 2nd Annual Meeting of the Bulgarian Section of SIAM (2008), C72-C7
  18. K. Georgiev, I. Lirkov, N. Kosturski, S. Margenov, On the computer simulation of heat and mass transfer in vacuum freeze-drying, Proceedings of the International Multiconference on Computer Science and Information Technology, Wisla, Vol. 2 (2007), 493-502
  19. S. Margenov, Y. Vutov, Parallel PCG algorithms for voxel FEM elasticity  systems, Proceedings of the International Multiconference on Computer Science and Information Technology, Wisla, Vol. 2 (2007), 379 - 385
  20. N. Kosturski, S. Margenov, MIC(0) Preconditioning of Conforming and Non-conforming FEM Problems on Unstructured Grids, In: M. Hokr (edr),Proceedings of SIMONA 2006, Technical University of Liberec (2006), 78-87
  21. I. Lirkov, S. Margenov, M. Paprzicki, Benchmarking performance of an MPI-based solver for 3D elasticity problems}, IEEE JVA Int. Symp. On Modern Computing (2006), 260-265
  22. S. Margenov, Y. Vutov, Comparative analysis of PCG solvers for voxel FEM  systems, Proceedings of the International Multiconference on Computer Science  and Information Technology, Wisla (2006), 591--598
  23. P. Arbenz, S. Margenov, Parallel MIC(0) preconditioning of 3D nonconforming FEM systems, Iterative Methods, Preconditionig and Numerical PDEs, Proceedings (2004), 12-15
  1. S. Margenov, Displacement doecomposition-MIC(0) preconditioning of linear elasticity non-conforming FEM problems, 16th IMACS World Congress 2000, Lausanne, Proceedings, (2000), 107-4
  2. S. Margenov, P. Popov, MIC(0) DD preconditioning of FEM elasticity problems on non-structured meshes, in: A. Handlovicova et. al. (eds.), Algoritmy 2000, Proceedings, 15th Conference on Scientific Computing, Vysoke Tatry, Slovakia (2000), 245-253
  3. I. Lirkov, S. Margenov, Parallel complexity of conjugate gradient method with circulant block-factorization preconditioners for 3D elliptic problems,  in Recent advances in numerical methods and applications,  World scientific, Singapore (1999), 455-463
  4. Tz. Kolev, S. Margenov, Multilevel HB preconditioning of non-conforming FEM systems, in Recent advances in numerical methods and applications, World scientific, Singapore, (1999), 603-610.
  5. I. Lirkov, S. Margenov, M. Paprzycki, Benchmarking performance of parallel  computers using a 2D elliptic solver, in Recent advances in numerical methods and applications}, World scientific, Singapore, (1999), 464-472
  6. I. Lirkov, S. Margenov, M. Paprzycki, J. McLaughlin, Parallel Conjugate Gradient Method with Circulant Block-Factorization Preconditioners for 3D  Elliptic Problems, in: B. Hendrickson et. al. (eds.), Proceedings of the  Ninth SIAM Conference on Parallel Processing for Scientific Computing, SIAM, Philadelphia, (1999)
  7. I. Lirkov, S. Margenov, M. Paprzycki, Parallel solution of 2D elliptic PDE's on Silicon Graphics supercomputers, Proceedings of the 10th IASTED International Conference on Parallel and Distributed Computing and Systems, Las Vegas, Nevada, IASTED Press, Calgary (1998), 575-580
  8. I. Lirkov, S. Margenov, L. Zikatanov, Circulant block-factorization preconditioning of anisotropic problems,  Computing, Vol. 58(3) (1997), 245-258
  9. S. Margenov, L. Xanthis, L. Zikatanov, On the optimality of the semicoarsening AMLI algorithm, in Iterative Methods in Linear Algebra, II, IMACS Series in Computational and Applied Mathematics, New Jersey, USA,Vol.3(1996),  270-279
  10. I. Lirkov, S. Margenov, Parallel complexity of conjugate gradient method with circulant preconditioners, PARCELLA'96, Academie Verlag, Mathematical Research, Vol.96(1996), 279-292
  11. S. Margenov, K. Georgiev, On efficient coupling of domain decomposition and pointwise newest vertex local refinement methods}, in Advances  in Parallel Algorithms, I. Dimov, O. Tonev eds., IOS PRESS, The  Netherlands(1994), 53-59
  12. I. Lirkov, S. Margenov, On circulant preconditioning of elliptic problems in L-shaped domains, in Advances in Numerical Methods and Applications, I. Dimov, Bl. Sendov, P.S. Vassilevski eds., World Scientific (1994), 136-145
  13. S. Margenov, L. Xanthis, On an iterative multilevel method of arbitrary lines, in:E.A. Lipitakis, ed., Proceedings of the Second Hellenic European Conference on Mathematics and Informatics HERMIS'94, (1994), 246-1037
  14. I. Lirkov, S. Margenov, Preconditioned conjugate gradient iterative algorithms for transputer based systems, in Parallel and Distributed Processing, ed. K. Boyanov (1993), 406-415
    15. S. Margenov, P.S. Vassilevski, On optimality of multilevel iteration methods for anisotropic elliptic problems, in Scientific Computation and Mathematical Modelling, S.M. Markov ed. (1993), 77-80
  15. I. Lirkov, S. Margenov, Circulant preconditioning of second order up-wind approximation of advection problems, in Scientific Computation and Mathematical Modelling, S.M. Markov ed. (1993), 73-76
  16. K. Georgiev, S. Margenov, On the communication costs of parallel solution of elliptic boundary value problems by domain decomposition method on a transputer system, in Parallel and Distributed Processing, North-Holland, K. Boyanov  Ed. (1991), 349-357
  17. P.S. Vassilevski, R. Lazarov, S. Margenov, Vector and parallel algorithms in iteration methods for elliptic problems, Proceedings of 18th Annual Conference of the Union of the Bulgarian Mathematicians, Albena (1989), 40-51
  18. K. Georgiev, S. Margenov, BEM realization on a computing system including a systolic processor, 10th Symposium  on  Algorithms, Proc. of Lectures, Stribske Pleso (1989), 91-93
  19. S. Margenov, V. Eijkhout, Splines from $S_p \subset C^{p-1}$ (p=2,3) in FEM and Application of PCGM, Proc. of the 2d Int. Conf. Numerical Methods and Applications, Sofia (1988), 284-289.
  20. S. Margenov, P.S. Vassilevski, Numerical solution of partial differential equations. Two approaches to obtaining parallel algorithms, Proceedings of the 17th Annual Conference of the Union of the Bulgarian  Mathematicians, Slanchev Brjag (1988), 470-474 (in Bulgarian)
  21. S. Margenov, I. Jossifova, Boundary element method. A general approach to numerical calculation of a special class of curvilinear integrals, Proceedings of the 13th summer school on Application of Mathematics in Engineering, Varna (1988) (in Bulgarian)
  22. R. Lazarov, P.S. Vassilevski, S. Margenov, Solving elliptic problems by the domain decomposition method using precondition matrices derived by multilevel splitting of finite element matrix}, Proceedings of the 1st Int. Conf. on Supercomputing, Greece (1987), 826-835
  23. S. Margenov, K. Georgiev, L. Hadjikov, M. Novakova, An effective approach for BEM application to friction contact problems, Proc. of the 9th Int. Conf.Boundary Elements, Vol. 2, W.Germany (1987), 439-445
  24. L. Hadjikov, S. Margenov, E. Dimitrova, P. Bekyarova, Cubic spline boundary elements to solution of circular plates on elastic foundation, Proceedings of the 1st Int. Conf. Numerical Methods and Applications, Sofia (1985), 236-243 (in Russian)
  25. S. Margenov, An application of cubic spline macroelements to solution of boundary value problems of forth order, Proceedings of the 1st Int. Conf. Numerical Methods and Applications, Sofia (1985), 408-413 (in Russian)
  26. L. Hadjikov, S. Margenov, P. Bekyarova, Cubic spline BEM for circular shells, Proceedings of the 7th Int. Conf. BEM in Engineering, Vol. 1, Italy (1985), 93-102
  27. N. Grozev, S. Margenov, A parametric model of shell strips  with  variable curvature, Proceedings of the 8th Summer School on Application of Mathematics in Engineering, Varna (1982), 168-171
  28. S. Margenov, On approximation of Sobolev spaces  by  polynomial  splines. Error estimates, Proceedings of the 11th Annual Conference of the Union of the Bulgarian Mathematicians, Slanchev Brjag (1982), 207-210 (in Bulgarian)
  29. N. Grozev, S. Margenov, Numerical solution of curvilinear orthotropic bridge shells by the FSM. Analysis of the accuracy, Proceedings of the 3th Summer School on Automation of the Production and the Management, Sofia (1981), 159-163
  30. S. Margenov, Homogeneity of the spaces of polynomial splines, Proceedings of the 9th Annual Conference of the Union of the Bulgarian  Mathematicians, Slanchev Brjag (1980) (in Bulgarian)
  31. S. Margenov, An application  of  polynomial  splines  to  FEM  solution of elastic plates, Proceedings of the 5th Summer School on Application of Mathematics in Engineering, Varna (1979), 76-79 (in Bulgarian)