A5091798887- Solar and Space Plasma Dynamics
- Stellar, planetary, and galactic studies
- Astro and Planetary Science
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Microstructure and mechanical properties
- Electromagnetic Scattering and Analysis
- Geomagnetism and Paleomagnetism Studies
- Advanced Power Generation Technologies
- Solar Radiation and Photovoltaics
- Metallurgy and Material Forming
- Matrix Theory and Algorithms
- Geophysics and Gravity Measurements
- nanoparticles nucleation surface interactions
- Theoretical and Computational Physics
- Coal and Coke Industries Research
- Block Copolymer Self-Assembly
- Industrial Engineering and Technologies
- Advanced Mathematical Modeling in Engineering
- Rheology and Fluid Dynamics Studies
- Numerical methods in engineering
- Material Dynamics and Properties
- Force Microscopy Techniques and Applications
- Astronomy and Astrophysical Research
- Numerical methods for differential equations
Lomonosov Moscow State University
2009-2022
Ben-Gurion University of the Negev
2022
Institute of Terrestrial Magnetism Ionosphere and Radio Wave Propagation
2001-2021
Troitsk Institute for Innovation and Fusion Research
2017-2021
Institute of Solar-Terrestrial Physics
2021
Moscow Center For Continuous Mathematical Education
2021
Ball State University
2007-2018
Russian Academy of Sciences
2002-2011
Astronomical Institute of the Slovak Academy of Sciences
2009
Energy Research Institute
2007
We develop an algebraic multigrid (AMG) setup scheme based on the bootstrap framework for multiscale scientific computation. Our approach uses a weighted least squares definition of interpolation, set test vectors that are computed by cycle and then improved eigensolver local residual-based adaptive relaxation process. To emphasize robustness, efficiency, flexibility individual components proposed approach, we include extensive numerical results method applied to scalar elliptic partial...
Most technologically useful materials arise as polycrystalline microstructures, composed of a myriad small crystallites, called grains, separated by their interfaces, grain boundaries. The orientations and arrangements the grains network boundaries are implicated in many properties across wide scales, for example, functional properties, like conductivity microprocessors, lifetime fracture toughness structures. Simulation is becoming an important tool understanding both processing...
Helmholtz equations with their highly oscillatory solutions play an important role in physics and engineering. These present the main computational difficulties typical to acoustic, electromagnetic, other wave problems. They are often accompanied by radiation boundary conditions considered on infinite domains. Solving them numerically using standard procedures, including multigrid, is too expensive. The wave‐ray multigrid algorithm efficiently solves naturally incorporates conditions....
A mesoscale, variational simulation of grain growth in two-dimensions has been used to explore the effects boundary properties on character distribution. Anisotropy energy a stronger influence distribution than anisotropy mobility. As proceeds from an initially random distribution, reaches steady state that depends energy. If only lattice misorientation, then population and are related by Boltzmann When both misorientation orientation, is more complex changes gradient with respect orientation.
Simulation is becoming an increasingly important tool, not only in materials science a general way, but the study of grain growth particular. Here we exhibit consistent variational approach to mesoscale simulation large systems boundaries subject Mullins Equation curvature driven growth. Simulations must be accurate and at scale enough have statistical significance. Moreover, they sufficiently flexible use very energies mobilities. We introduce this theory its discretization as dissipative...
We considered variations the dipole and quadrupole components of solar large-scale magnetic field. Both axial equatorial dipoles exhibit a systematic decrease in past four cycles accordance with general activity. The transition pole from polar region to mid latitudes occurs rather quickly, so that longitude changes little. With time, however, this inclined shifts larger longitudes, which suggests an acceleration rotation. mean rotation rate exceeds Carrington velocity by 0.6%. behavior...
We demonstrate that for weak flares the dependence on spottedness can be rather weak. The fact is such occur both in small and large active regions. At same time, powerful of classes M X much more often In energy estimates, mean magnetic field starspots also assumed equal to sunspot umbra. So effective 900 Mx/cm$^2$ sunspots 2000 starspots. Moreover, height storage cannot strictly proportional A$^{1/2}$. For stars, fitting factor an order magnitude smaller. analysis occurrence rate solar...
Abstract Helmholtz equations with variable coefficients are known to be hard solve both analytically and numerically. In this paper, we introduce a numerical multigrid solver for one‐dimensional eigenvalue problems periodic potentials solutions. The solvers employ wave–ray methodology suggested by Brandt, Livshits constant coefficients. paper concludes experiments the discussion of future efforts solving two‐dimensional problems. Copyright © 2004 John Wiley & Sons, Ltd.
In this paper we motivate, discuss the implementation and present resulting numerics for a new definition of strength connection which is based on notion algebraic distance. This distance measure, combined with compatible relaxation, used to choose suitable coarse grids accurate interpolation operators multigrid algorithms. The main tool proposed measure least squares functional defined using set relaxed test vectors. motivating application anisotropic diffusion problem, in particular...
Schrödinger equations are used to model numerous applications arising in quantum chemistry and physics. Most of these have no analytical solutions need be solved numerically, often an extremely challenging task. This paper offers efficient multigrid/multiscale solver for the one-dimensional eigenvalue problem, a preliminary step toward developing solvers application-rich two-dimensional problems. The employs gradual multiscale eigenbasis representation that allows calculation storage only...
Dynamo theory suggests that there are two types of solar dynamo, namely the conventional mean-field which produces large- and small-scale magnetic fields involved in activity cycle, also a cycle independent field. The relative contribution mechanisms to magnetism remains matter scientific debate, includes opinion dynamo is negligible. Here, we consider several tracers separate cycle-dependent contributions background field from those cycle. We call outside active regions give further...