PUBLICATIONS IN JOURNALS AND SERIES:
64. An efficient approach for upscaling properties of composite materials with high contrast of coefficients; (Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, J.) SIAM J. Sci. Comput., to appear. Also: TR No. 132 Fraunhofer ITWM 2008.
63. On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver; (D¨orfler, W.; Iliev, O.; Stoyanov, D.) Vassileva, D.; Computers and Visualization in Science, to appear. Also, ITWM Report No. 70 (2004).
62. On upscaling certain flows in deformable porous media;(Iliev, O.; Mikelic, A.; Popov, P.) SIAM J. on Multiscale Modeling and Simulation 7, No. 1, 93-123 (2008). Also, ITWM Report No. 65 (2004).
61. On numerical upscaling for flows in heterogeneous porous media;(Iliev, O.; Rybak, I.) [J] Comput. Methods Appl. Math. 8, No. 1, 60-76 (2008).
60. A parallel solver for the 3D simulation of flows through oil filters In: Parallel Scientific Computing and Optimization,(Starikovicius, V., Ciegis, R., Iliev, O., Lakdawala, Z.) Series: Springer Optimization and Its Applications, vol.27, pp.181-191 (2008)
59. Numerical study of two-grid preconditioners for 1-D elliptic problems with highly oscillating discontinuous coefficients;(Iliev, O.; Lazarov, R.; Willems, J.) [J] Comput. Methods Appl. Math. 7, No. 1, 48-67 (2007). Also, ITWM Report No. 111 (2007).
58. On a local refinement solver for coupled flow in plain and porous media; [A] Boyanov, Todor (ed.) et al., Numerical methods and applications. (Iliev, O.; Vasileva, D.) 6th international conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006. Revised papers. Berlin: Springer. Lecture Notes in Computer Science 4310, 590-598 (2007).
57. On upscaling heat conductivity for a class of industrial problems; (Iliev, O.; Rybak, I.; Willems, J.) [J] Theoretical and Applied Mechanics, to appear. Also, ITWM Report No. 119 (2007).
56. On parallel numerical algorithms for simulating industrial filtration problems; (Ciegis, R.; Iliev, O.; Lakdawala, Z.) [J] Comput. Methods Appl. Math. 7, No. 2, 118-134 (2007).
55. On iterative solvers for non-Newtonian flow equations; (Iliev, O.; Linn, J.; Moog, M.; Niedziela, D.; Starikovicius, V.) Int. J. Num. Meth. Heat and Fluid Flow 16, No. 5, 602-616 (2006).
54. Numerical algorithms for solving problems of multiphase flows in porous media;(Ciegis, R.; Iliev, O.; Starikovicius, V.; Steiner, K.) [J] Math. Model. Anal. 11, No. 2, 133-148 (2006).
53. On numerical solution of 1D poroelasticity equations in a multilayered domain; (Naumovich, A.; Iliev, O.; Gaspar, F.; Lisbona, F.; Vabishchevich, P.) [J] Math. Model. Anal. 10, No. 3, 287-304 (2005). Also, ITWM Report No. 66 (2004).
52. On convergence of certain finite difference discretizations for 1D poroelasticity interface problems; (Ewing, R.; Iliev, O.; Lazarov, R.; Naumovich, A.) Num. Meth. PDEs 23, No. 3, 652-671 (2007). Also, ITWM Report No. 69 (2004).
51. On modelling and simulation of different regimes for liquid polymer moulding; (Ciegis, R.; Iliev, O.; Rief, S.; Steiner, K.) [J] Comput. Methods Appl. Math. 4, No. 2, 131-162 (2004). Also, ITWM Report No. 63 (2004).
50. Phase-field method for 2D dendritic growth; Berlin: Springer. (Slavov, V.; Dimova, S.; Iliev, O.) Lecture Notes in Computer Science 2907, 404-411 (2004).
49. On numerical simulation of liquid polymer moulding; (Ciegis, R.; Iliev, O.) [J] Math. Model. Anal. 8, No. 3, 181-202 (2003).
48. On numerical simulation of flow through oil filters; (Iliev, O.; Laptev, V.) Computing and Visualization in Science 6, 139-146 (2004). Also, ITWM Report No. 51 (2003).
47. On second-order-accurate discretization of 3D interface problems and its fast solution with a pointwise multigrid solver; IMA J. Numerical Analysis 22, 391-406 (2002).
46. On a multigrid adaptive refinement solver for saturated non-newtonian flow in porous media; (D¨orfler, W.; Iliev, O.; Stoyanov, D.; Vassileva, D.;) ITWM Report No. 52 (2003). Also, in: Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev (Eds)., Berlin: Springer. Lecture notes in computer sciences 2502, 171-178 (2003).
45. A generalized (meshfree) finite difference discretization for elliptic interface problems; (Iliev, O.; Tiwari, S.;) In: Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev (Eds). Berlin: Springer. Lecture notes in computer sciences 2502, 480-489 (2003).
44. On second order accurate discretization of 3D elliptic equations with discontinuous coefficients and its fast solution by multigrid method with a pointwise smoother, IMA J. Numerical Analysis, to appear.
43. A modified finite volume approximation of second order elliptic equations with discontinuous coefficients, (with R.Ewing and R.Lazarov), SIAM J. Sci.Comp.,Vol.23, No.4, pp.1334-1350, 2001. Also: Technical report ISC-99-01-MATH of the Institute for Scientific Computations, The Texas A\&M University.
42. Analysis of transport processes for layered porous materials used in industrial applications, (with A.Zemitis and K.Velten), To appear in Mathematics as a key technology, 2002, Springer.
41. On Multigrid Methods for the Compressible Navier-Stokes Equations, (with D.Drikakis and D.Vassileva), In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
40. Multigrid -- adaptive local refinement solver for incompressible flows, (with D.Stoyanov), In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
39. Acceleration of multigrid flow computations through a dynamic adaptation of the smoothing procedure, ( with D.Drikakis and D.Vassileva), Journal of Compulational Physics, Vol.165, pp.566-591, 2000.
38. On a multigrid, local refinement solver for incompressible Navier-Stokes equations (with D.Stoyanov), Mathematical modeling Vol.13, No.8, 2001.
37. A moving boundary finite element method-based numerical approach for the solution of the one-dimensional problems in shape memory alloys ,(with A.Bhattacharyya and V.Stoylov), to appear, Computer Methods in Applied Mechanics and Engineering, Vol.190, pp.1741-1762, 2000
36. On a flexible tool for upscaling porous media flow problems, (with D.Stoyanov), Journal on Theoretical and Applied Mechanics, vol.31, No.1, pp.18-30, 2001.
35. A finite difference scheme of second order for elliptic problems with discontinuous coefficients, Differentsial'nye uravnenia , Vol.36, No.6, pp.837-838, 2000, in Russian (English translation in Differential Equations).
34. Domain Transformation Problems in 2D Oxidation, (with P.Entchev and D.Lagoudas), J. Mechanical Behaviour of Materials, Vol.11, No.4, pp.275-293, 2000.
33. Evaluation of structural influence on performance of shape memory alloy linear actuators by sharp phase front - based constitutive model, (with A.Bhattacharyya and V.Stoylov), Computational Merials Science , Vol.18, pp.269-282, 2000
32. Applications of mathematical modelling in metal science (with V.Manolov and A.Yotova), Journal of Materials Science and Technology, Vol.7, No.1, pp.11-20, 1999
31. On the discretization of interface problems with perfect and imperfect contact, (with T.Chernogorova, R.Ewing, R.Lazarov), In: Chen, Ewing and Shi (Eds), Lecture Notes in Physics ,Springer, 2000, Vol.552, Proc. of the workshop of computational physics, Beijing, China, August 2-6, 1999, pp.93-104.
30. On a multigrid solution of some 3D incompressible flow problems, (with D.Stoyanov and P.Stankov), Notes in Numerical Fluid Mechanics , vol.73, M.Griebel et al. (Eds), Vieweg Verlag, 2000, Proc. of Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
29. An adaptive-smoothing multigrid method for the Navier-Stokes equations,(with D.Drikakis and D.Vassileva), to appear in Lecture Notes in Computer Science, Springer, Vol. 14, 2000, E.Dick et al (Eds), Proceedings of the Europeean Conference on Multigrid Methods, Ghent, September 1999, pp.94-100.
28. On the adaptive smoothing as an approach for accelerating multigrid flow computations (with D.Vassileva), Comptes rendus de l'Academie bulgare des Sciences, Vol.53, No.3, pp.17-20, 2000.
27. A 2nd order discretization of imperfect contact problems with piecewise constant coefficients on cell-centred grids, (with T.Chernogorova), Notes in Numerical Fluid Mechanics , vol.73, M.Griebel et al. (Eds), Vieweg Verlag, 2000, Proc. of Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
26. On the efficiency of SIMPLE-type algorithms in computing incompressible flows on stretched grids, (with M.Schaefer), Technical report 99-01 of Dept. Mechanical Engineering, Darmstadt University of Technology. Also in: M.Griebel et al (Eds),Notes in Numerical Fluid Mechanics, vol.bf 73, Vieweg Verlag ,Proc. of 2nd Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
25. A nonlinear multigrid method for the incompressible Navier-Stokes equations, (with D.Drikakis and D.Vassileva), UMIST Thermo-Fluid-Dynamics Division Report, TFG/97/05. Also in Journal of Computational Physics, Vol.146, pp.310-321, 1998
24. A modified finite volumes approach for elliptic equations, Comptes rendus de l'Academie bulgare des Sciences, 51, No.3, 1998.
23. A multigrid algorithm for artifitial compressibility formulation of 3D Navier--Stokes equations, (with D. Drikakis and D. Vassielva), In: M. Griebel et al. (Eds), Large -- Scale Scientific Computations of Engineering and Environmental Problems, Notes in Numerical Fluid Mechanics, vol. 62, Vieweg Verlag, pp.260-268, 1998.
22. On numerical solution of 3D elliptic problems with highly varying coefficients, In: M. Griebel et al. (Eds), Large -- Scale Scientific Computations of Engineering and Environmental Problems, Notes in Numerical Fluid Mechanics, vol.62, Vieweg Verlag, pp.229-238, 1998.
21. Mathematical modeling of nitrogen diffusion in a solid metal particle (with V.Manolov, I.Bizhev, and Tz.Rashev), Comptes rendus de l'Academie bulgare des Sciences 1998, vol.51, No.1.
20. Numerical simulation of a 2D oxide layer propagation in an anisotropic medium (with P.Entchev and D.Lagoudas), J. Mechanical Behaviour of Materials, 7, No.1, 1996, 67-83.
19. A block-matrix numerical method for coupled solving 2D Navier-Stokes equations (with M. Makarov), Preprint No.10, Institute of Mathematics, Bulgarian Academy of Sciences, 1994, also in J. Comp. Physics, 121, No.1, 1995, 324-330.
18. Numerical study of three multilevel preconditioners for solving 2D unsteady Navier - Stokes equations. Technical report No. 1992-08 of Enhanced Oil Recovery Institute, University of Wyoming (with R.Ewing, S.Margenov and P.Vassilevski), Comp. Meth. Appl. Mech. Engng, 121(1995), 177-186.
17.Numerical investigation of 2D laminar flow and solute transport in a channel with some sudden symetric expansions and contractions. Univ. of California, Los Angeles, Dept. of Mathematics, CAM report 1993-30, July 1993. Also in Numerical Heat Transfer,Part A, 26, No.6, Dec.1994, 739-748.
16 Numerical simulation of convection/diffusion phase change problems. A review. Technical report of the Institute for Mathematical Modeling at Russian Acad. Sci., No.7, 1992 (with A.Samarskii, P.Vabishchevich, and A.Churbanov,in Russian), Int.J.Heat Mass Transfer, 36,No.17, 4095-4106(1993).
15. Numerical simulation of nitrogen diffusion in a solid chromium particle. (with V. Manolov and I. Bijev), Theoretical and Applied Mechanics, Year XXIV, No.2, 1993.
14. Numerical simulation of contaminant transport in a settle-tank, (with V.Naydenova), Theoretical and Applied Mechanics, Year XXIV, No.3, 1993.
13.Mathematical modeling of heat and mass transfer processes in mushy region during steel solidification.Comptes rendus l?Academie bulgare des Sciences 1993 No.6,pp.17-20. (with V.Manolov and A.Cherepanov, in Russian).
12. Fixed grid numerical methods for solving 2D crystallization problems taking into account the natural convection in the liquid metal. Vestnik Mosk. Univ., ser.15, Computational Mathematics and Cybernetics, 1993, No.2, pp.8-18 (with P. Vabishchevich, Russian).
11. On the usage iterative methods for solving 2D unsteady Navier-Stokes equations. Vestnik Mosk. Univ., ser.15, Computational Mathematics and Cybernetics, 1993, No.2, pp.19-28 (with P. Vassilevski and M.Makarov, Russian).
10. Mathematical modeling of non-stationary flow of liquid metal through vertical sprue tubes. Theoretical and Applied Mechanics, 1992, XXIII,No.2, pp.108-113, Sofia (with V.Videnova et al.)
9. Numerical investigation of crystallization and natural convection of liquid with temperature -- dependent viscosity. Commun. Appl. Num. Meth., 8, 857-868(1992) (with P. Vabishchevich and N. Esikova).
8. Performance of certain iterative methods in solving implicit difference schemes for 2D Navier - Stokes equations. Int.J. Num. Met. Engng., 1992, 33,No.7 (with P. Vassilevski and M. Makarov)
7. An iterative method for coupled solving 2D unsteady Navier Stokes equations. Comptes rendus de l'Academie bulgare des Sciences 1991, 44, No.7, 21-24 (with M.Makarov).
6. Numerical investigation of laminar coupled, natural and forced, convection of the liquid metal in the entrance of vertical cooling tube. Theoretical and Applied Mechanics, Sofia, 1990, Year XX, No 1.pp.36-43.
5. Numerical simulation of the natural convection of liquid with temperature dependent viscosity. Mathematical Modelling, Moscow, 1990, 2,3 15-22, (with P. Vabishchevich and N. Esikova, Russian).
4. Numerical investigation of heat and mass transfer during the crystallization of metal in a mould. Comm. Appl. Num. Meth., 5, 515-526 (1989) (with P.Vabishchevich).
3. Numerical investigation of temperature fields during the continuous casting of slyab ingots. J. Engineering Physics, 54, No 5, pp. 836-840 (1988), (with P. Vabishchevich and N. Esikova, Russian).
2. Numerical simulation of heat and mass transfer of liquid metal flow in channel. Modelling in mechanics, Novosibirsk, 2(19), 4, pp. 14-22 (1988) (with P.Vabishchevich, Russian).
1. Solving numerically coupled problems of heat and mass transfer with phase change, Differential'nye uravnenia, 23, 1127-1132 (1987) (with P. Vabishchevich, Russian, English translation: Differential Equations, 23(7), 746-750 (1987)).
PUBLICATIONS IN CONFERENCE PROCEEDINGS:
29. On new Challenges for CFD Simulation in Filtration; (Dedering, M.; Stausberg, W.; Iliev, O.; Lakdawala, Z.; Ciegis, R.; Starikovicius, V.) Proceedings of World Filtration Congress, Leipzig, 2008.
28. On Coupled Micro- and Macro Simulation for Filtration Processes; (Lakdawala, Z.; Iliev, O.; Wiegmann, A.) Proceedings of World Filtration Congress, Leipzig, 2008.
27. A Domain Decomposition Approach for Calculating the Graph Corresponding to a Fibrous Geometry; (Brandt, A.; Iliev, O.; Willems, V.) In Proceedings of DD18 Conference on Domain Decomposition, 2008.
26. Modelling and Simulation of Multiscale Poblems in Industrial Filtration Processes; (Iliev, O.; Latz, A.; Popov, P.; Rief, S.; Steiner, K.; Wiegmann, A.; Lakdawala, Z.) Proceedings of 2nd Annual meeting of Bulgarian Section of SIAM, Dec.20-21, 2007, Sofia, Bulgaria, pp.18-21, 2008.
25. On a nonlinear pressure algorithm for dilute and dense granular flow In: Proc. International Conference on Numerical Analysis and Applied Mathematics, Sept. 16-20, 2007 Corfu GREECE, Numerical Analysis and Applied Mathematics, Vol.936 pp.496-498, 2007. (Schmidt, S; Latz, A; Iliev, O.)
24. On interaction of fluid with deformable porous media; (Iliev, O.; Muntz, S.; Naumovich, A.) Proc. NAFEMS, June 2006.
23. Toward upscaling of flow in deformable porous media; (Iliev, O.; Mikelic, A.; Popov, P.) Oberwolfach Reports, Vol.2, Rep.20, 34-36 (2005).
22. On upscaling of flow in anisotropic porous media;(Iliev, O.; Rybak, I.) Oberwolfach Reports, Vol.2, Rep.20, 36-39 (2005).
21. On the Performance of Certain Iterative Solvers for Coupled Systems Arising in Discretization of Non- Newtonian Flow Equations; (Iliev, O.; Linn, J.; Moog, M.; Niedziela, D.; Starikovicius, V.) In: Neittaanmaeki et al (Eds), Proc. ECCOMAS 2004. Also: ITWM Report (62) 2004.
20. Simulations of viscoelastic polymer melt flows; (Niedziela, D.; Latz, A.; Iliev, O.) Proc. NAFEMS Seminar 'Simulation of complex flows-applications and trends', May 2004, Wiesbaden.
19. Flow simulation for plastic injection molding process; (Moog, M.; Linn, J.; Iliev, O.) Proc. NAFEMS Seminar 'Simulation of complex flows-applications and trends', May 2004, Wiesbaden.
18. Algorithms and software for computer simulation of flow through oil filters; Proc. FILTEX EUROPA: Int. Conf. and Exhibition on Filtration and Separation Technology, Oct.2003, Duesseldorf, pp.I-327-334. (Iliev, O.; Laptev, V.; Vasileva, D.)
17. On finite volume discretizations of elliptic interface problems; (Chernogorova, T.; Ewing, R.; Iliev, O.; Lazarov, R.) In: Herbin, R. and Kroener, D. (Eds) Finite Volume for Complex Applications III, Hermes Publ., 301-308 (2002).
16.On finite volume discretizations for interface problems with piecewise constant coefficients, In: O.Iliev et al (Eds), Recent Advances in Numerical Methods and Applications, Proc. of 4th Int. Conf. on Num. Meth. and Applications, August 19-23, 1998, Sofia, Bulgaria, World Scientific Publ.,1999.
15. An efficient numerical technique for simulating 3D technological solidification processes, with T.Tchernogorova, In: A.A. Samarskii, P.N. Vabishchevich, L.G. Vulkov eds, 'Finite difference methods: Theory and Applications', Proc. Conf. Finite Difference Methods, August 1997, Russe, Bulgaria. Nuova Science, USA, 1999, pp.28-37.
14.On numerical solution of 3D Navier-Stockes equation in vorticity- vector potential formulation, with P.Stankov and D.Stoyanov, In: A.A.Samarskii, P.N.Vabishevich, L.G. Vulkov eds, ?Finite differente methods: Theory and Applications?, Proc. Conf. Finite Difference Methods, August 1997, Russe, Bulgaria. Nuova Science, USA, 1999,pp.103-109.
13.A non-linear unsteady-multigrid method for 3D Navier-Stokes equations, (with D.Drikakis), In Proc. 8th Biennial Colloquium on Computational Fluid Dynamics,April 2-3, 1998, UMIST, Dept. Mechanical Engineering, 1998.
12.Heat transfer during solidification of hight-nitrogen steels, (with V.Manolov) In Proceedings of Minsk International Forum, May 1996, Section 9, (in Russian)
11. On grid-acceleration algorithms for unsteady convection -- diffusion phase change problems, In: S. Margenov and P. Vassilevski eds., Iterative Methods in Linear Algebra, II, IMACS Series in Computational and Applied Mathematics, Volume 3, 1996, 440--452.
10. Computer modelling of steel structure, In:Development of metalurgy in the Balkans at the beginning of the XXI century, Proc. of Balkan conference on metalurgy, May 28-30, 1996,Varna,Bulgaria, pp.157-162
9.Mathamatical moßdeling of solidification of ferro alloy including nitrogen. In: V.G. Gavriljuk and V.M. Nadutov (eds), Proc. of 3rd Int. Conf. on High Nitrogen Steels, Kiev, Sept. 14-16, 1993, Part 1, pp.192-197. (with V.Manolov)
8.A multilevel technique for solving 2D unsteady Navier - Stokes equations. (with R.E. Ewing, S.D. Margenov and P.S. Vassilevski) Technical report No.1991-05 of Enhanced Oil Recovery Institute, University of Wyoming. Published in: Adaptive,Multilevel and Hierarchical Computational Strategies, Proc. for the Symposium on Hierarchical Adaptive Modeling and Solution Strategies.Presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992. Edited by Ahmed K.Noor. AMD-vol.157,pp.235-247.
7.Mathematical modelling of the convection of liquid with temperature-dependent viscosity. In: Proceedings of Sixth National Congress of Theoretical and Applied Mechanics, Varna, October 1989 Sofia, Publishing house of the BAS, 1990, p.68-71 (with P. Vabishchevich and N. Esikova, Russian).
6.Mathematical modelling of steel crystallization taking into account the mushy region. In: Proceedings of Int. Conf. on Hi-Nitrogen Steels, Varna, October 1989 pp.99-101 (1990) (with V. Manolov et al., Russian,).
5.Mathematical modelling of casting under counter-pressure in gas medium. In: Proceedings of Int. Conf. on Hi-Nitrogen Steels, Varna, October 1989 pp.87-90 (1990) (with Tc. Rashev et al., Russian).
4.Numerical investigation of the influence of hydrodynamic processes on the metal crystallization. In: Proceedings of Int. Conf. on Num. Meth. and Appl., Sofia, August 1988, pp. 530-534 (1989) (with P. Vabishchevich).
3. Numerical simulation of crystallization of ingots formed by continuous casting. In: Proceedings of Int. Conf. on Num. Meth. and Appl., Sofia, August 1988, pp. 525-529 (1989) (with P. Vabishchevich and N. Esikova, Russian).
2. Mathematical modelling of temperature fields under the filling in cylindrical mould with liquid steel. In: Proceedings of Second Int. Conf. on Usage Computers in Casting Technology FOCOMP 1988, Sofia, pp. 335-347 (1989) (with V. Manolov, Russian).
1. Numerical simulation of heat and mass transfer processes during metal crystallization. In: Mathematical modelling, analytical and numerical solutions in transport theory. Proceedings of the international school. October 1986, Minsk, USSR, part 1, pp. 100-105 (1986) (with P. Vabishchevich et al., Russian).
TECHNICAL REPORTS, NOT PUBLISHED ELSEWHERE:
14. A Graph.Laplacian approach for calculating effective thermal conductivity of complicated fiber geometries, ITWM Report (142), 2008. (Iliev, O.; Lazarov, R.; Willems, J.)
13.An analysis of one regularization approach for solution of pure Neumann problem; ITWM Report (137), 2008. (Savenkov, E.; Andrae, H.; Iliev, O.)
12.On two-level preconditioners for for flow in porous media; (Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.) TR No. 121 Fraunhofer ITWM 2007.
11.On approximation property of multipoint flux approximation method; (Iliev, O.; Rybak, I.) TR No. 120 Fraunhofer ITWM 2007. Also: Mathematical Modelling, submitted.
10.On 3D numerical simulations of viscoelastic fluids; (Niedziela, D.; Iliev, O.; Latz, A.) Bericht ITWM, (90) 2006.
9.Multigrid-adaptive local refinement solver for incompressible flow; (Iliev, O.; Stoyanov, D.) Technical report No. 54 (2003) of Fraunhofer ITWM.
8. A block decoupling algorithm for solving turbulent non--isothermal incompressible Navier--Stokes equations (with J.Denev and P.Stankov), Technical report No.3, Inst. of Mathematics and Informatics, Bulgarian Acadeny of Science, November 1998.
7. A proof of 2nd order pointwise convergence for a finite volume scheme for a class of interface problems with piecewise constant coefficients, Technical report No.2, Inst. of Mathematics and Informatics, Bulgarian Acadeny of Science, June 1998.
6. Robust multigrid algorithms for 3D scalar transport equation, 1996, Preprint No.488 of Inst. Fluid Mechanics (LSTM), Univ. Erlangen--Nurnberg.
5. Efficient multigrid algorithms for 3D elliptic problems, 1996, Preprint No.501 of Inst. Fluid Mechanics (LSTM), Univ. Erlangen--Nurnberg.
4. On the tests for non--symmetric matrix equations arising in discretization of convection diffusion equation, 1995, Preprint No.465 of Inst. Fluid Mechanics (LSTM), Univ. Erlangen--Nurnberg.
3. Combined multigrid -- Krylov subspace algorithms, 1995, Preprint No.470N of Inst. Fluid Mechanics (LSTM), Univ. Erlangen--Nurnberg.
2.Numerical simulation of contamination transport due to flow in liquid and porous media, Technical report ,No. 1992-10 of Enhanced Oil Recovery Institute, University of Wyoming (with R.Ewing and R.Lazarov)
1. Mathematical modelling of the hydrodynamic processes in multistage column chemical apparatus. Technical report No.39 of Keldish Inst. of Appl. Math at USSR Academy of Sciences, Moscow, 1991 (with B. Gerasimov et al., Russian).
PAPERS IN PREPARATION AND SUBMITTED:
A nonlinear pressure correction algorithm for granular flow; in preparation. (midt, S.; Iliev, O.; Latz, A.)
On a subgrid approach for simulating oil filtration problems; (Iliev, O.; Lakdawala, Z.; Popov, P.; Starikovicius, V.; Willems, J.) in preparation.
On a multiscale finite volume approach for coupled Darcy and Stokes equations; (Iliev, O.; Lakdawala, Z.; Jenny, P., Bonfigli, G..) in preparation.