Department of Scientific Computations

LIST OF RECENT PUBLICATIONS

Journal papers

Proceedings Papers and Reports

Journal papers

Year
2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995

2009

Petia Boyanova and Svetozar Margenov, Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems, Numerical Analysis and Its Applications, S. Margenov, L. Vulkov, J. Waśniewski eds., Lecture notes in computer science, 5434, Springer, 2009, 216-223.
Ivan Lirkov, Yavor Vutov, Marcin Paprzycki, and Maria Ganzha, Comparative Analysis of High Performance Solvers for 3D Elasticity Problems, Numerical Analysis and Its Applications, S. Margenov, L. Vulkov, J. Waśniewski eds., Lecture notes in computer science, 5434, Springer, 2009, 392-399.

2008

Peter Arbenz, Svetozar Margenov, and Yavor 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.
Mateusz Dominiak, Maria Ganzha, Maciej Gawinecki, Wojciech Kuranowski, Marcin Paprzycki, Svetozar Margenov, and Ivan Lirkov, Utilizing Agent Teams in Grid Resource Brokering, International Transactions on Systems Science and Applications, 3 4, 2008, 296-306.
M. Drozdowicz, M. Ganzha, W. Kuranowski, M. Paprzycki, I. Alshabani, R. Olejnik, M. Taifour, M. Senobari, and I. Lirkov, Software Agents in ADAJ: Load Balancing in a Distributed Environment, Applications of Mathematics in Engineering and Economics'34, M. Todorov ed., AIP Conf. Proc., 1067, American Institute of Physics, 2008, 527-540.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel Preconditioning of Rotated Bilinear Non-Conforming FEM Problems, Computers and Mathematics with Applications, 55 (10), 2008, 2280-2294.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer sciences, 4818, Springer, 2008, 86-95.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel Algoritms for Rannacher-Turek Finite Element Approximation of 3D elliptic Problems, Computing, 82, 2008, 217-239.
Krassimir Georgiev, Nikola Kosturski, and Svetozar Margenov, On the Numerical Solution of the Heat Transfer Equation in the Process of Freeze Drying, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 4818, Springer, 2008, 410-416.
Nikola Kosturski, MIC(0) DD Preconditioning of FEM Elasticity Systems on Unstructured Tetrahedral Grids, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 4818, Springer, 2008, 688-695.
Johannes Kraus, Svetozar Margenov, and Josef Synka, On the Multilevel Preconditioning of Crouzeix-Raviart Elliptic Problems, Numerical Linear Algebra with Applications, 15, 2008, 395-416.
Wojciech Kuranowski, Maria Ganzha, Maciej Gawinecki, Marcin Paprzycki, Ivan Lirkov, and Svetozar 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.
Wojciech Kuranowski, Marcin Paprzycki, Maria Ganzha, Maciej Gawinecki, Ivan Lirkov, and Svetozar Margenov, Agents as Resource Brokers in Grids - Forming Agent Teams, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 4818, Springer, 2008, 484-491.
Ivan Lirkov, Yavor Vutov, Marcin Paprzycki, and Maria Ganzha, Benchmarking Performance Analysis of Parallel Solver for 3D Elasticity Problems, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 4818, Springer, 2008, 705-712.
Yavor Vutov, Parallel DD-MIC(0) Preconditioning of Nonconforming Rotated Trilinear FEM Elasticity Systems, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 4818, Springer, 2008, 745-752.

2007

Stéphane Bordas, Ronald H.W. Hoppe, and Svetozara I. Petrova, Mechanical Failure in Microstructural Heterogeneous Materials, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 533-541.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 56-64.
Ronald H. W. Hoppe and Svetozara I. Petrova, Elasto-plasticity model in structural optimization of composite materials with periodic microstructures, Mathematics and Computers in Simulation, 74, No. 6, 2007, 468-480.
Ronald H. W. Hoppe and Svetozara I. Petrova, Adaptive refinement techniques in homogenization design method, In: Free and Moving Boundaries: Analysis, Simulation and Control, Roland Glowinski, Jean-Paul Zolesio, eds., Lecture Notes in Pure and Applied Mathematics, 252, Chapman & Hall, 2007, Chapter 19.
János Karátson, Tamás Kurics, and Ivan Lirkov, A Parallel Algorithm for Systems of Convection-Diffusion Equations, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 65-73.
Nikola Kosturski and Svetozar Margenov, Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 74-81.
Johannes Kraus and Svetozar Margenov, Multilevel methods for anisotropic elliptic problems, Lectures on Advanced Computational Methods in Mechanics, de Gruyter Radon Series on Computational and Applied Mathematics, 1, 2007, 47-88.
Raytcho Lazarov and Svetozar Margenov, CBS Constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems, Journal of Complexity, 23, 2007, 498-515.
A. Liolios, K. Iossifidou, K. Liolios, K. Abdalla, and S. Radev, A Numerical Approach to the Dynamic Unitateral Contacts Problem of Soil-Pile Interaction uunder instabilizing and environmental effects, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 646-651.
Ivan Lirkov and Yavor Vutov, The convergence rate and parallel performance of a 3D elliptic solver, Systems science, 32, No. 4, 2007, 73-81.
Svetozar Margenov and Peter Minev, On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems, Mathematics and Computers in Simulation, 76, 2007, 149-154.
Svetozar Margenov and Josef Synka, Generalized Aggregation-Based Multilevel Preconditioning of Crouzeix-Raviart FEM Elliptic Problems, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 91-99.
Svetozar Margenov and Yavor Vutov, Preconditioning of voxel FEM elliptic systems, TASK Quaterly, 11, No. 12, 2007, 117-128.
S. Radev, K. Nachev, F. Onofri, L. Tadrist, and A. Liolios, Numerical analysis of the sinuius instability of a viscous capillary jet flowing down an immiscible nonviscous fluid, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 677-684.
Yavor Vutov, Parallel Incomplete Factorization of 3D NC FEM Elliptic Systems, Numerical Methods and Applications, T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov eds., Lecture Notes in Computer Science, 4310, Springer, 2007, 114-121.

2006

Gergana Bencheva, Svetozar Margenov, and Jiří Starý, Parallel PCG Solver for Nonconforming FE Problems: Overlapping of Communications and Computations, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski eds., Lecture notes in computer science, 3743, Springer, 2006, 646-654.
Radim Blaheta, Svetozar Margenov, and Maya Neytcheva, Aggregation-based multilevel preconditioning of non-conforming FEM elasticity problems, Applied Parallel Computing, J. Dongarra, K. Madsen, J. Waśniewski eds., Lecture notes in computer science, 3732, Springer, 2006, 847-856.
Vesselin Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, and Ludmil T. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of 2nd order elliptic equations, Numerical Linear Algebra with Applications, 13, 2006, 753-770.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Two-level algorithms for Rannacher-Turek FEM, Problems in Programming, 2-3, 2006, 694-700.
Ivan Georgiev and Svetozar Margenov, Element preconditioning technique for rotated bilinear FEM elliptic systems, Mathematica Balkanica, 20 Fasc. 1, 2006, 39-48.
M. Griebel, D. Oeltz, and P. Vassilevski, Space-time approximation with sparse grids, SIAM Journal on Scientific Computing, 28, 2006, 701-727.
R.W. Hoppe, Chr. Linsenmann, and S. Petrova, Primal-dual Newton methods in structural optimization, Comput. Visual. Sci., 9 2, 2006, 71-87.
Ronald W. Hoppe and Svetozara Petrova, Shape optimization of biomorphic ceramics with microstructures by homogenization modeling, Analysis, Modeling and Simulation of Multiscale Problems, Springer, 2006, 395-424.
Ronald W. Hoppe and Svetozara Petrova, Adaptive refinement techniques in homogenization design method, Free and Moving Boundaries: Analysis, Simulation and Control, R.Glowinski et al. eds., Lecture Notes in Pure and Applied Mathematics, Chapman & Hall, 2006, Chapter 19.
Ronald W. Hoppe and Svetozara Petrova, Efficient solvers for 3-D homogenized elasticity model, Applied Parallel Computing, J. Dongarra, K. Madsen, J. Waśniewski eds., Lecture notes in computer science, 3732, Springer, 2006, 857-863.
T. Kim, J. E. Pasciak, and P. S. Vassilevski, Mesh independent convergence of the modified inexact Newton method for a second order nonlinear problem, Numerical Linear Algebra with Applications, 13, 2006, 23-47.
Tzanio V. Kolev and Panayot S. Vassilevski, AMG by element agglomeration and constrained energy minimization interpolation, Numerical Linear Algebra with Applications, 13, 2006, 771-788.
Panayot S. Vassilevski and Ludmil T. Zikatanov, Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid, SIAM Journal on Matrix Analysis and Applications, 27, 2005-2006, 1040-1055.

2005

O. Axelsson, L. Laayouni, and S. Margenov, Robust multilevel preconditioners for second order elliptic equations and systems of equations, Mathematica Balkanica, 19 Fasc. 3-4, 2005, 321-348.
Radim Blaheta, Svetozar Margenov, and Maya Neytcheva, Robust optimal multilevel preconditioners for non-conforming finite element systems, Numer. Linear Algebra Appl., 12, 2005, 495-514.
X.C. Cai, L. Marcinkowski, and P.S. Vassilevski, An element agglomeration nonlinear addditive Schwarz preconditioned Newton method for unstructured finite element problems, Applications of Mathematics, 50 3, 2005, 247-276.
R. D. Falgout, P. S. Vassilevski, and L. T. Zikatanov, On Two-grid Convergence Estimates, Numerical Linear Algebra with Applications, 12, 2005, 471-494.
Krassimir Georgiev and Svetozar Margenov, Higher order non-conforming FEM up-winding, Advances in Air Pollution Modelling for Environmental Security, Springer NATO Science Series IV, 54, 2005, 209-218.
K. Georgiev, S. Margenov, and V.M. Veliov, Emission control in single species air pollution problems, Advances in Air Pollution Modelling for Environmental Security, Springer NATO Science Series IV, 54, 2005, 219-228.
Ronald H.W. Hoppe and Svetozara I. Petrova, A posteriori adaptive meshes for shape optimization of TiC-ceramics, HERMIS Intern. J. Comput. Math. Appl., 5, 2005, 109-124.
Ivan Lirkov, Parallel performance of a 3D elliptic solver, Numerical Analysis and Its Applications, Zhilin Li, Lubin Vulkov, Jerzy Waśniewski eds., Lecture notes in computer science, 3401, Springer, 2005, 383-390.

2004

Gergana Bencheva, Parallel performance comparison of three direct separable elliptic solvers, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski, P. Yalamov eds., Lecture notes in computer science, 2907, Springer, 2004, 421-428.
Gergana Bencheva, Ivan Georgiev, and Svetozar Margenov, Two-level preconditioning of Crouzeix-Raviart anisotropic FEM systems, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski, P. Yalamov eds., Lecture notes in computer science, 2907, Springer, 2004, 76-84.
Radim Blaheta, Svetozar Margenov, and Maya Neytcheva, Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems, Numer. Lin. Alg. Appl., 11, 2004, 309-326.
R. D. Falgout and P. S. Vassilevski, On Generalizing the AMG Framework, SIAM Journal on Numerical Analysis, 42, 2004, 1669-1693.
Ivan Georgiev and Svetozar Margenov, DD-MIC(0) preconditioning of rotated trilinear FEM elasticity systems, Computer Assisted Mechanics and Engineering Sciences, 11, 2004, 197-209.
Ronald H. W. Hoppe and Svetozara I. Petrova, Primal-Dual Newton Interior Point Methods in Shape and Topology Optimization, Numer. Linear Algebra Appl., 11 5-6, 2004, 413-429.
Ronald H.W. Hoppe and Svetozara I. Petrova, Optimal shape design in biomimetics based on homogenization and adaptivity, Mathematics and Computers in Simulation, 65, 2004, 257-272.
Ronald H.W. Hoppe and Svetozara I. Petrova, Homogenization design method for biomorphic composite materials, J. Comput. Methods Sci. Engrg., 4 1-2, 2004, 87-96.
Ronald H.W. Hoppe, Svetozara I. Petrova, and Yuri V. Vassilevski, Adaptive grid refinement for computation of the homogenized elasticity tensor, Large-Scale Scientific Computing, I. Lirkov, S. Margenov, J. Waśniewski, P. Yalamov eds., Lecture notes in computer science, 2907, Springer, 2004, 375-383.
Anna H. Iontcheva and Panayot S. Vassilevski, Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini's problem, Numerical Linear Algebra with Applications, 11, 2004, 189-204.

2003

Owe Axelsson and Svetozar Margenov, On multilevel preconditioners which are optimal with respect to both problem and discretization parameters, Comput. Methods Appl. Math., 3 1, 2003, 6-22.
Gergana Bencheva and Svetozar Margenov, Parallel incomplete factorization preconditioning of rotated linear FEM systems, Journal of Computational and Applied Mechanics, 4 2, 2003, 105-117.
Gergana Bencheva and Svetozar Margenov, Performance analysis of a parallel MIC(0) preconditioning of rotated bilinear nonconforming FEM systems, Mathematica Balkanica, 17, 2003, 319-335.
P. Böhm, R. H.W. Hoppe, G. Mazurkevitch, S. Petrova, G. Wachutka, and E. Wolfgang, Optimal design of high power electronic devices by topology optimization, Mathematik - Schlüsseltechnologie für die Zukunft. Verbundprojekte zwischen Mathematik und Industrie, Springer, Berlin-Heidelberg-New York, (2003), 365-376.
P.N. Brown, P.S. Vassilevski, and C. S. Woodward, On mesh-independent convergence of an inexact Newton-multigrid algorithm, SIAM J. Scientific Computing, 25, 2003, 570-590.
T. Chartier, R. Falgout, V.E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P.S. Vassilevski, Spectral AMGe (ρAMGe), SIAM J. Scientific Computing, 25, 2003, 1-26.
E. Chow and P. S. Vassilevski, Multilevel block factorization preconditioners in generalizedhierarchical bases, Numerical Linear Algebra with Applications, 10 1-2, 2003, 105-127.
Ronald H. W. Hoppe and Svetozara I. Petrova, Applications of primal-dual interior methods in structural optimization, Comput. Methods Appl. Math., 3 1, 2003, 159-176.
Ronald H.W. Hoppe and Svetozara I. Petrova, Optimal structural design of biomorphic composite materials, Numerical methods and applications, (I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev eds.), Lecture Notes in Computer Science, 2542, Springer, 2003, 479-487.
Ronald H.W. Hoppe and Svetozara Petrova, Homogenization Design Method for Biomorphic Composite Materials, J. Comput. Methods Sci. Engrg., 3 3, 2003, 383-391.
Raytcho D. Lazarov and Svetozar D. Margenov, On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems, Numerical methods and applications, (I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev eds.), Lecture Notes in Computer Science, 2542, Springer, 2003, 192-201.
R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski, Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids, Numer. Math., 96, 2003, 286-306.
Ivan Lirkov, MPI solver for 3D elasticity problems, Mathematics and computers in simulation, 61 3-6, 2003, 509-516.
Ivan Lirkov, Parallel performance of an MPI solver for 3D elasticity problems, Numerical methods and applications, (I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev eds.), Lecture Notes in Computer Science, 2542, Springer, 2003, 527-535.

2002

R. H.W. Hoppe, S. Petrova, and V. Schulz, Primal-Dual Newton-Type Interior-Point Method for Topology Optimization, J. Optim. Theory Appl., 114 3, 2002, 545-571.
Panayot S. Vassilevski, Sparse matrix element topology with application to AMG and preconditioning, Numerical Linear Algebra with Applications, 9 6-7, 2002, 429-444.

2001

Gergana Bencheva, Comparative Analysis of Marching Algorithms for Separable Elliptic Problems, Numerical Analysis and its Applications, (L. Vulkov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 1988, Springer, 2001, 76-83.
Gergana Bencheva, MPI Parallel Implementation of a Fast Separable Solver, Large-Scale Scientific Computing, (S. Margenov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 2179, Springer, 2001, 454-461.
Veselin Dobrev and Panayot Vassilevski, Local Refinement in Non-overlaping Domain Decomposition, Numerical Analysis and its Applications, (L. Vulkov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 1988, Springer, 2001, 253-264.
Ivan Georgiev and Svetozar Margenov, MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems, Large-Scale Scientific Computing, (S. Margenov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 2179, Springer, 2001, 95-103.
Ronald H.W. Hoppe and Svetozara I. Petrova, Structural Optimization of Biomorphic Microcellular Ceramics by Homogenization Approach, Large-Scale Scientific Computing, (S. Margenov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 2179, Springer, 2001, 353-360.
Tzanio Kolev and Svetozar Margenov, AMLI Preconditioning of Pure Displacement Non-conforming Elasticity FEM systems, Numerical Analysis and its Applications, (L. Vulkov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 1988, Springer, 2001, 482-489.
Ivan Lirkov, Svetozar Margenov, and Marcin Paprzycki, Parallel Performance of a 3D Elliptic Solver, Numerical Analysis and its Applications, (L. Vulkov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 1988, Springer, 2001, 535-543.
R.H.W. Hoppe, S. Petrova, and V. Schulz, Topology Optimization of Conductive Media Described by Maxwell's Equations, Numerical Analysis and its Applications, (L. Vulkov, J. Waśniewski, P. Yalamov, eds.), Lecture notes in computer science, 1988, Springer, 2001, 414-422.

2000

James H. Bramble, Joseph E. Pasciak, and Panayot S. Vassilevski, Computational scales of Sobolev norms with application to preconditioning, Mathematics of Computation, 69, 2000, 463-480.
S. Petrova, L. Tobiska, and P. Vassilevski, Multigrid Methods based on Matrix-Dependent Coarse Spaces for Nonconforming Streamline-Diffusion Finite Element Discretization of Convection-Diffusion Problems, East-West J. Numer. Math., 8 3, 2000, 223-242.

1999

So-Hsiang Chou, Do Y. Kwak, and P. S. Vassilevski, Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems, SIAM J. Scientific Computing, 21, 1999, 145-165.
So-Hsiang Chou and P. S. Vassilevski, A general mixed co-volume framework for constructing conservative schemes for elliptic problems, Mathematics of Computation, 68, 1999, 991-1011.
So-Hsiang Chou and P. S. Vassilevski, An upwinding cell-centered method with piecewise constant velocity over covolumes, Numerical Methods for Partial Differential Equations, 15, 1999, 49-62.
Asen Georgiev, Svetozar Margenov, and M. Neytcheva, Multilevel algorithms for 3D simulation of nonlinear elasticity problems, Mathematics and Computers in Simulation, 50 (1-4), 1999, 175-182.
Tzanio Kolev and Svetozar Margenov, Two-level preconditioning of pure displacement non-conforming FEM systems, Numer. Linear Algebra Appl., 6, 533-555, 1999.
Ivan Lirkov and Svetozar Margenov, MPI parallel implementation of CBF preconditioning for 3D elasticity problems, Mathematics and Computers in Simulation, 50 (1-4), 247-254.
Svetozar Margenov, Semi-coarsening AMLI algorithms for elasticity problems, Numer. Linear Algebra Appl., 5, 1999, 347-362.
M. Paprzycki, S. Petrova, and J. Sanchez, Implementing Parallel Elliptic Solver on a Beowulf Cluster, Fifteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, Electronic Journal of Differential Equations, Conference 02, 1999, 75-85.
T. Rusten, P. S. Vassilevski, and R. Winther, Domain embedding preconditioners for mixed systems, Numer. Linear Alg. with Applications, 5, 1999, 321-345.
P.S. Vassilevski and J. Wang, Stabilizing the hierarchical basis by approximate wavelets, II: Implementation and Numerical Results, SIAM J. Sci. Comput., 20, 490-514, 1999.

1998

So-Hsiang Chou, Do Y. Kwak, and P. S. Vassilevski, Mixed covolume methods for elliptic problems on triangular grids, SIAM J. Numer. Anal., 35 5, 1998, 1850-1861.
Maya G. Neytcheva and Panayot S. Vassilevski, Preconditioning of indefinite and almost singular finite element elliptic equations, SIAM J. Sci. Comput., 19, 1998, 1471-1485.
Panayot S. Vassilevski, A block-factorization (algebraic) formulation of multigrid and Schwarz methods, East-West J. Numer. Math., 6 (1), 1998, 65-79.

1997

T.F. Chan, S.D. Margenov, and P.S. Vassilevski, Performance of block-ILU factorization preconditioners based on block-size reduction for 2D elasticity systems, SIAM J. Sci. Comput., 18, 1997, 1355-1366.
R. D. Lazarov, L. Tobiska, and P. S. Vassilevski, Streamline diffusion least-squares mixed finite element methods for convection diffusion problems, East-West J. of Numer. Math., 5 (4), 1997, 249-264.
Ivan Lirkov and Svetozar Margenov, Displacement decomposition circulant preconditioners for almost incompressible 2D elasticity systems, Numerical Analysis and its Application, Lecture Notes in Computer Science, 1196, Springer, 1997, 292-299.
Ivan Lirkov, Svetozar Margenov, and Ludmil Zikatanov, Circulant block-factorization preconditioning of anisotropic elliptic problems, Computing, 58 (3), 1997, 245-258.
Svetozara Petrova, Parallel Implementation of Fast Elliptic Solver, Parallel Computing, 23, 1997, 1113-1128.
Svetozara Petrova and Panayot Vassilevski, A variational parameters-to-estimate-free nonlinear solver, Numerical Analysis and its Application, Lecture Notes in Computer Science, 1196, Springer, 1997, 396-405.
Panayot S. Vassilevski, On some applications of the H^σ-stable wavelet-like hierarchical finite element space decompositions, The Mathematics of Finite Elements and Applications, Highlights 1996, (J. R. Whiteman, ed.), Chichester, J. Wiley & Sons, 1997, 371-395.
Panayot S. Vassilevski, On two ways of stabilizing the HB multilevel methods, SIAM Review, 39 (1), 1997, 18-53.
P.S. Vassilevski and J. Wang, Stabilizing the hierarchical basis by approximate wavelets, I: Theory, Numer. Linear Alg. Appl., 4 (2), 1997, 103-126.

1996

R. Ewing, S. Margenov, and P. Vassilevski, Preconditioning the biharmonic equation by multilevel iterations, Mathematica Balkanica, 10, 1996, 121-132.
R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite volume methods for convection diffusion problems, SIAM J. Numer. Anal., 33, 1996, 31-55.
Raytcho D. Lazarov and Panayot S. Vassilevski, Preconditioning mixed finite element saddle-point elliptic problems, Numer. Linear Alg. Appl., 3, 1996, 1-20.
A.I. Pehlivanov, G.F. Carey, and P.S. Vassilevski, Least-squares mixed finite element methods for non-selfadjoint elliptic problems, I: Error analysis, Numer. Math., 72, 1996, 501-522.
T. Rusten, P.S. Vassilevski, and R. Winther, Interior penalty preconditioners for mixed finite element approximations of elliptic problems, Math. Comp., 65, 1996, 447-466.

1995

G.F. Carey, A.I. Pehlivanov, and P.S. Vassilevski, Least-squares mixed finite element methods for non-selfadjoint elliptic problems, II: Performance of block-ILU factorization methods, SIAM J. Sci. Comput., 16, 1995, 1126-1136.
T.F. Chan and P.S. Vassilevski, A framework for block-ILU factorizations using block-size reduction, Math. Comp., 64, 1995, 129-156.
R.E. Ewing, O.P. Iliev, S.D. Margenov, and P.S. Vassilevski, Numerical study of three multilevel preconditioners for solving 2D unsteady Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 121, 1995, 177-186.
S. Margenov and J. Maubach, Optimal algebraic multilevel preconditioning for local refinement along a line, Numerical Linear Algebra with Applications, 2 (4), 1995, 317-334.
W. Proskurowski and P.S. Vassilevski, Preconditioning nonsymmetric and indefinite capacitance matrix problems in domain imbedding, SIAM J. Sci. Comput., 16, 1995, 414-430.
P.S. Vassilevski and J. Wang, An application of the abstract multilevel theory to nonconforming finite element methods, SIAM J. Numer. Anal., 32, 1995, 235-248.

Proceedings Papers and Reports

Year
2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

2008

Stefka Fidanova and Ivan Lirkov, Ant Colony System Approach for Protein Folding, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 3, M. Ganzha, M. Paprzycki, T. Pełech-Pilichowski eds., 2008, 887-891.
Krassimir Georgiev, Nikola Kosturski, Svetozar Margenov, and Jiří Starý, On the Adaptive Time-Stepping for Large Scale Parabolic Problems: Computer Simulation of Heat and Mass Transfer in Vacuum Freeze-Drying, BGSIAM'07, 2008, C8-C11.
Nikola Kosturski and Svetozar Margenov, MIC(0) Preconditioning of 3D FEM Problems on Unstructured Grids: Conforming and Nonconforming Elements, BGSIAM'07, 2008, C30-C33.
Wojciech Kuranowski, Maria Ganzha, Marcin Paprzycki, and Ivan Lirkov, Supervising Agent Team an Agent-based Grid Resource Brokering System - Initial Solution, Proceedings of the Conference on Complex, Intelligent and Software Intensive Systems, F. Xhafa, IEEE CS Press, Los Alamitos, CA, 2008, 321-326.
Svetozar Margenov and Yavor Vutov, Parallel PCG Algorithms for Voxel Elasticity Problems, BGSIAM'07, 2008, C72-C75.
Yavor Vutov, Two Preconditioners For Voxel μFEM Simulation,Science and Supercomputing in Europe, HPC-Europa, 2008, 836-841.

2007

Maria Ganzha, Marcin Paprzycki, and Ivan Lirkov, Trust management in an agent-based Grid resource brokering system - preliminary considerations, Applications of Mathematics in Engineering and Economics'33, AIP Conf. Proc, 946, American Institute of Physics, 2007, 35-46.
Ivan Lirkov, Yavor Vutov, Comparative Analysis of High Performance Solvers for 3D Elliptic Problems, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 2, M. Ganzha, M. Paprzycki, T. Pełech-Pilichowski eds., 2007, 483-492.
Krassimir Georgiev, Ivan Lirkov, Nikola Kosturski, Svetozar 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, Volume 2, M. Ganzha, M. Paprzycki, T. Pełech-Pilichowski eds., 2007, 493-502.
Svetozar Margenov, Yavor Vutov, Parallel PCG algorithms for voxel FEM elasticity systems, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 2, M. Ganzha, M. Paprzycki, T. Pełech-Pilichowski eds., 2007, 517-526.

2006

Gergana Bencheva, Parallel Incomplete Factorization Algorithms, Proceedings of Young Researchers Session, 2006 John Vincent Atanasoff Information Days, G. Angelova, K. Boyanov, K. Fillyov, V. Getov eds, Sofia, Bulgaria, 2006, ISBN-10: 954-91743-5-2; ISBN-13: 978-954-91743-5-9.
Gergana Bencheva, Svetozar Margenov, and Jiří Starý, MPI Implementation of a PCG Solver for Nonconforming FEM Problems: Overlapping of Communications and Computations, Technical Report 2006-023, Uppsala University, May 2006.
Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel preconditioning of rotated bilinear non-conforming FEM problems, RICAM-Report Nr. 2006-03, Johann Radon Institute for Computational and Applied Mathematics, Linz, 2006.
Tzanio Kolev and Panayot Vassilevski, Some experience with H¹-based auxliary space AMG for H(curl) problems Lawrence Livermore National Laboratory Technical Report UCRL-JRNL-221841, June 2006.
Tzanio Kolev and Panayot Vassilevski, Parallel H¹-Based Auxiliary Space AMG Solver for H(curl) Problems, LLNL Technical Report UCRL-TR-222763, July, 2006.
Nikola Kosturski, Svetozar Margenov, MIC(0) Preconditioning of Conforming and Non-conforming FEM Problems on Unstructured Grids, Proceedings of SIMONA 2006, M. Hokr ed., Technical University of Liberec, 2006, 78-87.
Ivan Lirkov, Svetozar Margenov, and Marcin Paprzicki, Benchmarking performance of an MPI-based solver for 3D elasticity problems, IEEE JVA Int. Symp. on Modern Computing, IEEE Computer Society, 2006, 260-265.
Ivan Lirkov and Yavor Vutov, Parallel Performance of a 3D Elliptic Solver, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 1, M. Ganzha, M. Paprzycki, J. Wachowicz, K. Węcel eds., 2006, (CD-ROM), ISSN 1896-7094, 579-590.
Svetozar Margenov and Josef Synka, Generalized aggregation-based multilevel preconditioning of Crouzeix-Raviart FEM elliptic problems, RICAM-Report Nr. 2006-23, Johann Radon Institute for Computational and Applied Mathematics, Linz, 2006.
Svetozar Margenov and Yavor Vutov, Comparative analysis of PCG solvers for voxel FEM systems, Proceedings of the International Multiconference on Computer Science and Information Technology, Volume 1, M. Ganzha, M. Paprzycki, J. Wachowicz, K. Węcel eds., 2006, (CD-ROM), ISSN 1896-7094, 591-598.

2005

Ronald H.W. Hoppe and Svetozara I. Petrova, On the return mapping algorithms in structural optimization of biomorphic ceramics, J. Herskovits et al., eds., Proc. 6th World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro, Brazil, 2005, (CD-ROM), ISBN:85-285-0070-5.
Raytcho Lazarov and Svetozar Margenov, CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems, RICAM-Report Nr. 2005-28, Johann Radon Institute for Computational and Applied Mathematics, Linz, 2005.

2004

Peter Arbenz and Svetozar Margenov, Parallel MIC(0) preconditioning of 3D nonconforming FEM systems, Iterative Methods, Preconditioning and Numerical PDEs, 2004, 12-15.
G. Bencheva, Parallel implementation of a generalized marching algorithm, Technical Report ISC-04-10-MATH, 2004 .
Ronald H. W. Hoppe and Svetozara I. Petrova, A posteriori adaptive meshes for shape optimization of TiC-ceramics, Proc. HERCMA 2003, Greece, LEA Publishers, 2, 2004, 501-508.

2003

J.E. Jones, P.S. Vassilevski, and C.S. Woodward, Nonlinear Schwarz-FAS methods for unstructured finite element elliptic problems, K.J. Bathe, ed., Computational Fluid and Solid Mechanics, Proceedings of the 2nd MIT Conference on Computational Fluid and Solid Mechanics, June 17-20, 2003, Elsevier, Amsterdam-Boston, 2, 2003, 2008-2011.
Ronald H.W. Hoppe and Svetozara Petrova, Homogenized Elasticity Solvers for Biomorphic Microcellular Ceramics, F. Brezzi et al., eds., Proc. 4th Europ. Conf. Numer.Math. and Advanced Applications, ENUMATH 2001, July 23-28, 2001, Ischia, Italy, Springer ITALIA, 2003, 371-380.

2002

Ronald H.W. Hoppe and Svetozara I. Petrova, Homogenization design method for biomorphic composite materials, Proceedings of the CMMSE-2002 Conference, Alicante, Spain, 1 2002, 179-188.
R. H.W. Hoppe, S. Petrova, and V. Schulz, 3D Structural Optimization in Electromagnetics, Proceedings of the 13th International Conference on Domain Decomposition Methods, October 9-12, 2000, Lyon, France (N. Debit et al.; eds.); CIMNE, Barcelona, Spain, 2002, 479-486.
Svetozara Petrova, Nonconforming Streamline-Diffusion FEM for 3D Convection-Diffusion Problems Using Multigrid Discretizations, Proceedings of the FEM3D Conference, Jyväskylä, Finland, June 2000 (P. Neittaanmäki and M. Krizek; eds.) GAKUTO Internat. Ser. Math. Sci. Appl., 15, Gakkotosho, Tokyo, 2002, 217-225.

2001

Gergana Bencheva and Svetozar Margenov, On a Preconditioning strategy for rotated linear FEM elliptic systems, Proceedings of International Conference on Preconditioned Robust Iterative Solution Methods for Problems with Singularities, University of Nijmegen, The Netherlands, 2001, 87-90.
Svetozar Margenov, AMLI preconditioning of pure displacement nonconforming FEM systems, Proceedings of International Conference on Preconditioned Robust Iterative Solution Methods for Problems with Singularities, University of Nijmegen, The Netherlands, 2001, 81-86.

2000

Owe Axelsson and Svetozar Margenov, An optimal order multilevel preconditioner with respect to problem and discretization parameters, Department of Mathematics, University of Nijmegen, The Netherlands, Report No. 0015, 2000.
Owe Axelsson and Panayot S. Vassilevski, A survey of a class of algebraic multilevel iteration methods for positive definite symmetric matrices, Proceedings of a conference on Numerical Mathematics, ENUMATH'99, Jyvalaskyla, Finland, 2000, 16-30.
V. John, G. Matthies, T. Mitkova, L. Tobiska, and P. Vassilevski, A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations, Large-Scale Scientific Computations of Engineering and Environmental Problems II, (M. Griebel, S. Margenov, P. Yalamov eds.), Notes on Numerical Fluid Mechanics, 73, Vieweg Verlag, Braunschweig, Germany, 2000, 215-222.
R. D. Lazarov, J. E. Pasciak, and P. S. Vassilevski, Mixed finite element methods for elliptic problems on non-matching grids, Large-Scale Scientific Computations of Engineering and Environmental Problems II, (M. Griebel, S. Margenov, P. Yalamov eds.), Notes on Numerical Fluid Mechanics, 73, Vieweg Verlag, Braunschweig, Germany, 2000, 25-35.
Svetozar Margenov and Peter Popov, MIC(0) DD preconditioning of FEM elasticity problems on non-structured meshes, Proceeding of Algoritmy 2000, (A. Hadlovicova, M. Komornikova, K. Mikula, D. Sevcovic, eds.) Vydavatel'stvo STU, Bratislava, 2000, 245-253.
Ronald H.W. Hoppe and Svetozara Petrova, Applications of the Newton Interior-point Method for Maxwell's Equations, Proceedings of the 16th IMACS World Congress, August 2000, Lausanne, Switzerland, M. Deville and R. Owens eds., 107-7.pdf.
R.H.W. Hoppe, S. Petrova, and V. Schulz, A primal-dual Newton-type interior-point method for topology optimization, Technical Report No.424, March 2000, University of Augsburg, Germany.
Svetozar Margenov, Displacement decomposition-MIC(0) preconditioning of linear elasticity non-conforming FEM problems, Proceedings of the 16th IMACS World Congress, August 2000, Lausanne, Switzerland, M. Deville and R. Owens eds., 107-4.pdf.

1999

Gergana Bencheva, Comparative Performance Analysis of 2D Separable Elliptic Solvers, Proceedings of the XIIIth summer school "Software and algorithms of numerical mathematics", Nectiny, Czech Republic, 1999, 11-27.
Veselin A. Dobrev and Panayot S. Vassilevski, Non-mortar finite elements for elliptic problems, Recent advances in numerical methods and applications, (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, eds.), World scientific, Singapore, 1999, 756-765.
A. Iontcheva, Numerical Solution of Differential Equations Using Wavelet Integrals, Recent advances in numerical methods and applications, (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, eds.), World scientific, Singapore, 1999, 560-568.
Tzanio Kolev and Svetozar Margenov, Multilevel HB Preconditioning of Non-Conforming FEM Systems, Recent advances in numerical methods and applications, (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, eds.), World scientific, Singapore, 1999, 569-576.
R. D. Lazarov, J. E. Pasciak, and P. S. Vassilevski, Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids, in: Finite Volumes for Complex Applications II, (R. Vilsmeier, F. Benkhaldoun and D. Haenel), Hermes Science, Paris, 1999, 51-68.
Ivan Lirkov, Algebraic two-level preconditioning of non-conforming rotated trilinear FEM systems, Proceedings of the XIIIth summer school "Software and algorithms of numerical mathematics", Nectiny, Czech Republic, 1999, 209-222.
Ivan Lirkov and Svetozar Margenov, Parallel complexity of conjugate gradient method with circulant block-factorization preconditioners for 3D elliptic problems, Recent advances in numerical methods and applications, (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, eds.), World scientific, Singapore, 1999, 455-463.
Ivan Lirkov, Svetozar Margenov, and Marcin Paprzycki, Benchmarking performance of parallel computers using a 2D elliptic solver, Recent advances in numerical methods and applications, (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, eds.), World scientific, Singapore, 1999, 464-472.
Ivan Lirkov, Svetozar Margenov, Marcin Paprzycki, and J. McLaughlin, Parallel Conjugate Gradient Method with Circulant Block-Factorization Preconditioners for 3D Elliptic Problems, Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, (B. Hendrickson et. al. eds.), SIAM, Philadelphia, 1999, files Marcin~1.pdf and Marcin~1.ps, 1999.
J. Sanchez, M. Paprzycki, and S. Petrova, Implementing Parallel Elliptic Solver on a Beowulf Cluster, Proceedings of the Fifteenth Annual Conference on Applied Mathematics, University of Central Oklahoma, Edmond, Oklahoma, USA, 1999, 211-221.

1998

Asen Georgiev and Svetozar Margenov, BSR BILU Preconditioning for 3D simulation of pile foundation systems in nonlinear media, Large-Scale Scientific Computations of Engineering and Environmental Problems, Vieweg Verlag, (M. Griebel, O. Iliev, S. Margenov, P. Vassilevski. eds.), Notes on Numerical Fluid Mechanics, 62, Vieweg Verlag, Braunschweig, Germany, 1998, 219-228.
E. Haug, T. Rusten, P.S. Vassilevski, and R. Winther, Domain embedding and the Dirichlet problem, Large-Scale Scientific Computations of Engineering and Environmental Problems, Vieweg Verlag, (M. Griebel, O. Iliev, S. Margenov, P. Vassilevski. eds.), Notes on Numerical Fluid Mechanics, 62, Vieweg Verlag, Braunschweig, Germany, 1998, 66-77.
H. Hope, M. Paprzycki, and S. Petrova, Parallel Performance of a Direct Elliptic Solver, Large-Scale Scientific Computations of Engineering and Environmental Problems, Vieweg Verlag, (M. Griebel, O. Iliev, S. Margenov, P. Vassilevski. eds.), Notes on Numerical Fluid Mechanics, 62, Vieweg Verlag, Braunschweig, Germany, 1998, 310-319.
Tzanio Kolev and Svetozar Margenov, Two-level preconditioning strategies for elasticity problems. Applications, Proceedings of Iterative solution methods for the elasticity equations as arising in Mechanics and Biomechanics, The Netherlands, Nijmegen, 1998, 79-84.
Ivan Lirkov, Svetozar Margenov, and Marcin 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, 575-580, 1998.
Ivan Lirkov, Svetozar Margenov, Marcin Paprzycki, and R. Owens, A shared memory parallel implementation of block-circulant preconditioners, Large-Scale Scientific Computations of Engineering and Environmental problems, (M. Griebel, O. Iliev, S. Margenov, P. Vassilevski eds.), Notes on Numerical Fluid Mechanics, 62, Vieweg Verlag, Braunschweig, Germany, 1998, 319-327.
Svetozar Margenov and Panayot Vassilevski, Algebraic two-level preconditioning of non-conforming FEM systems, Large-Scale Scientific Computations of Engineering and Environmental problems, (M. Griebel, O. Iliev, S. Margenov, P. Vassilevski eds.), Notes on Numerical Fluid Mechanics, 62, Vieweg Verlag, Braunschweig, Germany, 239-248, 1998.

1997

Asen Georgiev, Svetozar Margenov, Panayot Vassilevski, and Ludmil Zikatanov, Applications of the block-size reduction BILU algorithm for 3D simulation of pile foundations, Geomechanics 96, (Zikmund Rakowski ed.), A.A.Balkema, Rotterdam, 1997, 153-158.
P.S. Vassilevski, and J. Wang, Wavelet-like methods in the design of efficient multilevel preconditioners for elliptic PDEs, Multiscale Wavelet Methods for PDEs, (W. Dahmen, A. Kurdila, P. Oswald, eds.), Academic Press, 1997, 59-105.

1996

J.H. Bramble and P.S. Vassilevski, Wavelet-like extension operators in non-overlapping domain decomposition algorithms, Math. Dept., Texas A&M Univ., College Station, TX, 1996.
Ivan Lirkov and Svetozar Margenov, Parallel Complexity of Conjugate Gradient Method with Circulant Preconditioners, in: Proceedings of the PARCELLA'96, (R. Vollmar, W. Erhard, V. Jossifov, eds.), Akademie Verlag, Berlin, 1996, 279-286.
Svetozar Margenov, Semicoarsening AMLI algorithms for elasticity problems, AMLI'96, Proceedings of the Conference on Algebraic Multilevel Iteration Methods with Applications, KUN, The Netherlands, 2, 1996, 179-194.
S. Margenov, L. Xanthis, and L. Zikatanov, On the optimality of the semicoarsening AMLI algorithm, Iterative Methods in Linear Algebra, II, IMACS Series in Computational and Applied Mathematics, New Jersey, USA, 3, 1996, 270-279.