05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
;
Main publications:
Kopysov S. P., Novikov A. K., Ponomarev A. B., Rychkov V. N. Programmnaya sreda generatsii, perestroeniya, razdeleniya setok i
postroeniya raschetnykh modelei dlya parallelnykh raspredelennykh vychislenii // Vychislitelnye metody i programmirovanie, 2006. T. 7. - S. 137&ndah;150.
Kopysov S. P., Sagdeeva Yu. A. Primenenie veivlet-preobrazovaniya pri chislennom osrednenii differentsialnykh uravnenii s bystro ostsilliruyuschimi koeffitsientami // Izvestiya vuzov. Matematika, 2007. - N. 7. - S. 80–83. (2007).
Kopysov S. P., Novikov A. K. Parallelnye algoritmy adaptivnogo perestroeniya i razdeleniya nestrukturirovannykh setok // Matematicheskoe modelirovanie, 2002. - T. 14, # 9, S. 91–96.
A. S. Karavaev, S. P. Kopysov, “Method of solution composition in contact problems with friction of deformable bodies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:4 (2023), 659–674
2.
A. S. Karavaev, S. P. Kopysov, “Generation of adaptive hexahedral meshes from surface and voxel geometric models”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:3 (2023), 534–547
2020
3.
A. S. Karavaev, S. P. Kopysov, “A modification of the hexahedral mesh generator based on voxel geometry representation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:3 (2020), 468–479
N. S. Nedozhogin, S. P. Kopysov, A. K. Novikov, “Parallel solving of linear equations systems on hybrid architecture CPU + GPU”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 9:2 (2020), 40–54
2019
5.
S. P. Kopysov, I. R. Kadyrov, A. K. Novikov, “Resource efficient finite element computing on multicore architectures”, Izv. IMI UdGU, 53 (2019), 83–97
V. A. Aleksandrov, S. P. Kopysov, L. E. Tonkov, “Excitation of vortex flows on the free surface of a liquid by a vibrating plate”, Zhurnal Tekhnicheskoi Fiziki, 89:7 (2019), 998–1005; Tech. Phys., 64:7 (2019), 939–946
S. P. Kopysov, I. M. Kuz'min, N. S. Nedozhogin, A. K. Novikov, L. E. Tonkov, “Radial basis function for parallel mesh-to-mesh interpolation in solving fluid-structure interaction problem”, Izv. IMI UdGU, 51 (2018), 42–51
I. R. Kadyrov, S. P. Kopysov, A. K. Novikov, “Partitioning of triangulated multiply connected domain into subdomains without branching of inner boundaries”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:3 (2018), 544–560
A. S. Karavaev, S. P. Kopysov, “Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017), 396–413
S. P. Kopysov, I. M. Kuzmin, N. S. Nedozhogin, A. K. Novikov, V. N. Rychkov, L. E. Tonkov, “Quasi-newton method for implicit coupling in FSI problem”, CPM, 17:4 (2015), 523–530
11.
N. S. Nedozhogin, S. P. Kopysov, A. K. Novikov, “Parallel decomposition version in the AISM preconditioner”, Izv. IMI UdGU, 2015, no. 2(46), 120–126
12.
S. P. Kopysov, L. E. Tonkov, A. A. Chernova, “Application of VOF and SPH to solve problems with a developed free surface”, Izv. IMI UdGU, 2015, no. 2(46), 76–84
13.
S. P. Kopysov, I. M. Kuz'min, “Extended explicit scheme for solving dynamic structural problem”, Izv. IMI UdGU, 2015, no. 2(46), 69–75
14.
A. S. Karavaev, S. P. Kopysov, A. S. Sarmakeeva, “Construction of clumps for discrete element method”, Izv. IMI UdGU, 2015, no. 2(46), 53–59
15.
N. S. Nedozhogin, S. P. Kopysov, A. K. Novikov, “Parallel forming of preconditioners based on the approximation of the Sherman-Morrison inversion formula”, Num. Meth. Prog., 16:1 (2015), 86–93
A. S. Karavaev, S. P. Kopysov, A. S. Sarmakeeva, “A discrete element method for dynamic simulation of arbitrary bodies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015), 473–482
S. P. Kopysov, L. E. Tonkov, A. A. Chernova, A. S. Sarmakeeva, “Modeling of the incompressible liquid flow interaction with barriers using VOF and SPH methods”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:3 (2015), 405–420
S. P. Kopysov, I. M. Kuz'min, N. S. Nedozhogin, A. K. Novikov, V. N. Rychkov, Yu. A. Sagdeeva, L. E. Tonkov, “Parallel implementation of a finite-element algorithms on a graphics accelerator in the software package FEStudio”, Computer Research and Modeling, 6:1 (2014), 79–97
A. S. Karavaev, S. P. Kopysov, I. M. Kuz'min, “Conservative interpolation method between non-matching surface meshes”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4, 64–75
I. M. Kuz'min, L. E. Tonkov, S. P. Kopysov, “Algorithms and software for solving coupled fluid-structure interactionproblems on hybrid hpc platform”, Computer Research and Modeling, 5:2 (2013), 153–164
A. S. Karavaev, S. P. Kopysov, “The method of unstructured hexahedral mesh generation from volumetric data”, Computer Research and Modeling, 5:1 (2013), 11–24
A. S. Karavaev, S. P. Kopysov, “A refinement of unstructured quadrilateral and mixed meshes”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4, 62–78
S. P. Kopysov, I. M. Kuzmin, N. S. Nedozhogin, A. K. Novikov, “Parallel Algorithms for Constructing and Solving the Schur Complement on Graphics Accelerators”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:3 (2012), 202–215
S. P. Kopysov, I. M. Kuz'min, L. E. Tonkov, “Modeling of interaction of a supersonic stream and the deformable panel in a shock tube”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2, 156–165
S. P. Kopysov, A. K. Novikov, Yu. A. Sagdeeva, “Solving of discontinuous Galerkin method systems on GPU”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 121–131
S. P. Kopysov, A. K. Novikov, V. N. Rychkov, U. A. Sagdeeva, L. E. Tonkov, “Virtual laboratory for finite element modelling”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 4, 131–145
S. P. Kopysov, A. K. Novikov, “Domain decomposition for parallel adaptive finite element algorithm”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 141–154
S. P. Kopysov, A. K. Novikov, L. E. Tonkov, D. V. Beresnev, “Methods of a binding of parallel processes and threads for multicore computers”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 123–132
S. P. Kopysov, Y. A. Sagdeeva, “Two-dimensional numerical wavelet-homogenization for obtaining effective characteristics of composite materials”, Matem. Mod., 21:4 (2009), 65–78; Math. Models Comput. Simul., 2:1 (2010), 103–115
2008
31.
S. P. Kopysov, A. B. Ponomarev, V. N. Rychkov, “Model computation mesh for parallel distributed computing”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 194–196
O. I. Evstaf'ev, S. P. Kopysov, “Molecular dynamic modeling of the structure and behavior for nanocomposites with shungit”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 179–181
S. P. Kopysov, Yu. A. Sagdeeva, “The application of the wavelet transform in the numeric averaging of differential equations with quickly oscillating coefficients and in calculation of effective characteristics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 7, 80–83; Russian Math. (Iz. VUZ), 51:7 (2007), 76–79
S. P. Kopysov, Yu. A. Sagdeeva, “Numerical determination of averaged characteristics of composites based on the finite element method and the wavelet transform”, Izv. IMI UdGU, 2006, no. 3(37), 67–68
35.
O. I. Evstaf'ev, S. P. Kopysov, “Modeling of softening of filled polymer systems”, Izv. IMI UdGU, 2006, no. 3(37), 37–38
36.
S. P. Kopysov, A. K. Novikov, A. B. Ponomarev, V. N. Rychkov, “A program environment for mesh generation, refinement, and partition and for construction of computational models for
parallel distributed computing”, Num. Meth. Prog., 7:4 (2006), 137–150
2005
37.
S. P. Kopysov, Yu. A. Sagdeeva, “Numerical peculiarities of the 2D wavelet-homogenization in the problems of multiresolution analysis”, Num. Meth. Prog., 6:1 (2005), 1–8
S. P. Kopysov, I. V. Krasnoperov, V. N. Rychkov, “Implementation of an object-oriented model of domain decomposition on the
basis of parallel distributed CORBA-components”, Num. Meth. Prog., 4:2 (2003), 19–36
39.
S. P. Kopysov, I. V. Krasnoperov, V. N. Rychkov, “An object-oriented method for domain decomposition”, Num. Meth. Prog., 4:2 (2003), 1–18
V. N. Rychkov, I. V. Krasnoperov, S. P. Kopysov, “Object-oriented parallel distributed systems for finiteelement analysis”, Matem. Mod., 14:9 (2002), 81–86
V. N. Rychkov, I. V. Krasnoperov, S. P. Kopysov, “Middleware for high performance computing”, Num. Meth. Prog., 2:2 (2001), 109–124
1998
43.
M. Yu. Alies, S. P. Kopysov, A. K. Novikov, “Parallel generation of plane finite-element meshes”, Matem. Mod., 10:5 (1998), 71–76
1997
44.
M. Yu. Alies, S. P. Kopysov, A. I. Varnafskii, “Implementation of a metropolis algorithm on a parallel computation system”, Matem. Mod., 9:2 (1997), 97–101
45.
M. Yu. Alies, S. P. Kopysov, A. K. Novikov, “Generation and adaption of finite element mesh for elliptic problem of order two solution”, Matem. Mod., 9:2 (1997), 43–45
N. S. Nedozhogin, A. S. Sarmakeeva, S. P. Kopysov, “Sherman - Morrison high-performance algorithm for inverse matrix on GPU”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 3:2 (2014), 101–108