Секция "Научни пресмятания"
СПИСЪК НА НАУЧНИТЕ ПУБЛИКАЦИИ
- J. Kraus, S. Margenov, Robust Algebraic Multilevel Methods and
Algorithms, Radon Series on Computational and Applied Mathematics, 5,
de Gruyter, (2009)
Година
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
2010
- Gergana Bencheva, Comparative Analysis of Solution Methods for
Delay Differential Equations in Hematology, Large-Scale Scientific
Computing, I. Lirkov, S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 711-718.
- Petia Boyanova and Svetozar Margenov, Numerical Study of AMLI
Methods for Weighted Graph-Laplacians, Large-Scale Scientific
Computing, I. Lirkov, S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 84-91.
- Maria Ganzha, Marcin Paprzycki, Michal Drozdowicz, Mehrdad
Senobari, Ivan Lirkov, Sofiya Ivanovska, Richard Olejnik, and Pavel
Telegin, Information Flow and Mirroring in an Agent-Based Grid
Resource Brokering System, Large-Scale Scientific Computing,
I. Lirkov, S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 475-482.
- Ivan Georgiev, Johannes Kraus, and Svetozar Margenov, Multilevel
Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity
Problems, Large-Scale Scientific Computing, I. Lirkov,
S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 100-107.
- Nikola Kosturski and Svetozar Margenov, Numerical Homogenization
of Bone Microstructure, Large-Scale Scientific Computing,
I. Lirkov, S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 140-147.
- Ivan Lirkov, Yavor Vutov, Marcin Paprzycki, Maria Ganzha, Parallel
Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel
μFE Simulation, Parallel processing and applied mathematics,
Part II, R. Wyrzykowski, J. Dongarra, K. Karczewski, J. Waśniewski eds.,
Lecture notes
in computer science,
6068,
Springer, 2010, 135--144.
- Svetozar Margenov and Yavor Vutov, Parallel MIC(0)
Preconditioning for Numerical Upscaling of Anisotropic Linear Elastic
Materials, Large-Scale Scientific Computing, I. Lirkov,
S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 805-812.
- Svetozara Petrova, On Shape Optimization of Acoustically Driven
Microfluidic Biochips, Large-Scale Scientific Computing,
I. Lirkov, S. Margenov, J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 821-828.
- P. Popov, Y. Efendiev, and Y. Gorb, Multiscale Modeling and
Simulation of Fluid Flows in Highly Deformable Porous Media,
Large-Scale Scientific Computing, I. Lirkov, S. Margenov,
J. Waśniewski eds.,
Lecture notes
in computer sciences,
5910,
Springer, 2010, 148-156.
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.
- Michal Drozdowicz, Maria Ganzha, Marcin Paprzycki, Richard
Olejnik, Ivan Lirkov, Pavel Telegin, and Mehrdad Senobari, Ontologies,
Agents and the Grid: an Overview, Parallel, Distributed and Grid
Computing for Engineering, Computational Science, Engineering and
Technology Series: 21, Saxe-Coburg Publications, Stirlingshire,
UK, Chapter 7, (2009), 117-140.
- Stefka Fidanova and Ivan Lirkov, 3D protein structure prediction,
J. Analele Universitatii de Vest Timisoara, Seria
Matematica-Informatica, XLVII(2), (2009), 33-46.
- Maria Ganzha,
Marcin Paprzycki,
Michal Drozdowicz, Mehrdad Senobari, Ivan Lirkov,
Sofiya Ivanovska, Richard
Olejnik, and Pavel Telegin, Mirroring information within an
agent-team-based intelligent Grid middleware; an overview and
directions for system development,
Scalable Computing: Practice and
Experience, 10(4), 2009,
397-411.
- I. Georgiev, J. Kraus, S. Margenov, and J. Schicho, Loacally
optimized MIC(0) preconditioning of Rannacher-Turek FEM systems,
Applied Numerical Mathematics, 59 (2009), 2402-2415
- Krassimir Georgiev, Nikola Kosturski, Svetozar Margenov, and Jiří
Starý, On adaptive time stepping for large-scale parabolic problems:
Computer simulation of heat and mass transfer in vacuum freeze-drying,
Journal of Computational and Applied Mathematics, 226,
(2009), 268-274
- Ronald W. Hoppe and Svetozara Petrova, Path-following methods for
shape optimal design of periodic microstructural materials,
Optimization Methods and Software, 24 2, (2009), 205-218
- 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.
- Svetozar Margenov and Nikola 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
- Svetozara Petrova, Applications of one-shot methods in PDEs constrained
optimization, Mathematics
and Computers in Simulation, 80 3, (2009), 581-597
- P. Popov, G. Qin, L. Bi, Y. Efendiev, Z. Kang, and
J. Li. Multiphysics and Multiscale Methods for Modeling Fluid Flow
Through Naturally Fractured Carbonate Karst Reservoirs. SPE Reservoir
Evaluation & Engineering, 12 2, (2009), 218-231
- P. Popov, Y. Efendiev, and G. Q. Multiscale, Modeling and Simulations
of Flows in Naturally Fractured Karst Reservoirs. Communications in
Computational Physics, 6, (2009) 162-184
- M. Senobari, M. Drozdowicz, M. Ganzha, M. Paprzycki, R. Olejnik,
I. Lirkov, P. Telegin, and N. M. Charkari, Resource Management in
Grids: Overview and a discussion of a possible approach for an
Agent-Based Middleware, Parallel, Distributed and Grid Computing for
Engineering, Computational Science, Engineering and Technology Series:
21, Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8,
(2009), 141-164.
- R. F. Sviercoski, P. Popov, and B.J. Travis, Zeroth and first-order
homogenized approximations to nonlinear diffusion through block
inclusions by an analytical approach, Computer Methods in Applied
Mechanics and Engineering, 198, Issues 30-32, (2009), 2260-2271
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, Wojtek
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 science,
4818,
Springer Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 2006, 646-654.
- R. Blaheta, S. Margenov, and M. 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 Verlag, 2006, 847-856.
- V. Dobrev, R. D. Lazarov, P. S. Vassilevski, and L T. Zikatanov,
Two-level preconditioning of discontinuous Galerkin approximations of
2nd order elliptic equations, Numerical Linear Algebra with
Applications, 13, 2006, 753-770.
- I. Georgiev, J. Kraus, and S. Margenov, Two-level algorithms for
Rannacher-Turek FEM, Problems in Programming, 2-3, 2006,
694-700.
- I. Georgiev and S. 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, Ch. 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 Verlag, 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.
- T.V. Kolev and P. S. Vassilevski, AMG by element agglomeration and
constrained energy minimization interpolation, Numerical Linear
Algebra with Applications, 13, 2006, 771-788.
- P. S. Vassilevski and L. 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.
- R. Blaheta, S. Margenov, and M. 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.
- K. Georgiev and S. 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 2003, 192-201.
- R.D. Lazarov, J.E. Pasciak, J. Schoeberl, 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 Verlag, 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.
- P. 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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 Verlag, 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.
- M.G. Neytcheva and P.S. Vassilevski, Preconditioning of indefinite
and almost singular finite element elliptic equations, SIAM
J. Sci. Comput., 19, 1998, 1471-1485.
- P.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 Verlag, 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 Verlag, 1997, 396-405.
- P.S. Vassilevski, On some applications of the
Hσ-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.
- P.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.
- R.D. Lazarov and P.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.
Година
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
2010
- Gergana Bencheva, How does Clinical Data Fit into Two Leukopoiesis
Models?, Proceedings of 4th Annual meeting of the Bulgarian Section of
SIAM, Demetra, Sofia, ISSN:1313-3357 (2010), 11-16.
- Ivan Georgiev, Svetozar Margenov, Locally Optimized MIC(0)
Preconditioning of Rotated Bilinear FEM Systems, Proceedings of 4th
Annual meeting of the Bulgarian Section of SIAM, Demetra, Sofia,
ISSN:1313-3357 (2010), 34-38.
- Nikola Kosturski, Skalable PCG Solution Algorithms for μFEM
Elasticity Systems, Proceedings of 4th Annual meeting of the Bulgarian
Section of SIAM, Demetra, Sofia, ISSN:1313-3357 (2010), 93-98.
- Ivan Lirkov, Stanislava Stoilova, Analysis of Pseudo-Random
Properties of Nonlinear Congruential Generators with Power of Two
Modulus by Numerical Computing of the b-adic Diaphony, Proceedings of
the International Multiconference on Computer Science and Information
Technology, Volume 5, M. Ganzha, M. Paprzycki eds., IEEE Computer
Society Press, Los Alamitos, USA, 2010, 309-316.
- Maya Neytcheva, Petia Boyanova, Challenges for the Iterative
Solution of Phase-Separation Flow Problems, Proceedings of 4th
Annual meeting of the Bulgarian Section of SIAM, Demetra, Sofia,
ISSN:1313-3357 (2010), 99-104.
- Peter Popov, Upscaling of Deformable Porous Media with
Applications to Bone Modelling, Proceedings of 4th Annual meeting of
the Bulgarian Section of SIAM, Demetra, Sofia, ISSN:1313-3357 (2010),
105-110.
- Rosangela Sviercoski, Svetozar Margenov, A Hybrid Multiscale
Multigrid Approach by Incorporating Analytical Results, Proceedings of
4th Annual meeting of the Bulgarian Section of SIAM, Demetra, Sofia,
ISSN:1313-3357 (2010), 111-116.
2009
- Gergana Bencheva, Towards Real-Time Data-Driven Computer Simulation of
Blood Cells Production and Regulation, Proceedings of 3rd Annual
meeting of BGSIAM'08, (2009), 15-18.
- Petia Boyanova, Svetozar Margenov, On AMLI Preconditioning of
Graph-Laplacians: Properties of the Two-Level Method, Proceedings of
3rd Annual Meeting of the Bulgarian Section of SIAM, Demetra, Sofia,
ISSN 1313-3357 (2009), 19-22.
- Petia Boyanova, Svetozar Margenov, On Multilevel Iterative Methods for
Navier-Stokes Problems, 11th National Congress on Theoretical and
Applied Mechanics, Borovets, Bulgaria, Paper ID: 244-83-1-PB.
- Nikola Kosturski, Svetozar Margenov, Yavor Vutov, Efficient
Solution of μFEM Elasticity Problems in the Case of Almost
Incompressible Materials, Proceedings of 3rd Annual Meeting of the
Bulgarian Section of SIAM, Proceedings (2009), 65-68.
- Yavor Vutov, Scalability Tests of Two Parallel PCG Solvers on Blue
Gene/P, 3rd Annual Meeting of the Bulgarian Section of SIAM,
Proceedings (2009), 87-90.
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
- G. 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.
- N. Kosturski, S. 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.
- I. Lirkov, S. Margenov, and M. 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.
- I. Lirkov and Y. 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.
- S. Margenov and Y. 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.
2004
- Peter Arbenz and Svetozar Margenov, Parallel MIC(0)
preconditioning of 3D nonconforming FEM systems, Iterative Methods,
Preconditioning and Numerical PDEs, 2004, 12-15.
- 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
- O. Axelsson and P.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.
- 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,
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Johann Radon Institute for
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discontinuous Galerkin systems, RICAM-Report Nr. 2005-28,
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