Abstract
The paper focuses on one of the classes of problems concerning mass calculations – the problems of calculating the electrostatic fields of modern electronic optical systems. In a mathematical modeling process of potential fields, it is necessary to solve systems of linear algebraic equations of large dimensions. The tasks of calculating electrostatic fields can be greatly simplified by maximizing the geometric symmetry within the configuration of the electrode surfaces. The usage of the group theory technique allows to ensure the stability of the calculations, create all the prerequisites for parallelizing the procedures for solving complex three-dimensional problems concerning electrostatics in general. The application of the mathematical modeling methods of electrostatic fields along with the modern trends within the computer system development has been considered in order to reduce the calculation time. The optimisation of the computational process in solving electronic optics tasks due to the rapid development of modern nanotechnology and new requirements for the speed of calculations, has been implemented using the OpenMP parallel programming technology. The classes of systems with symmetries of the eighth and sixteenth orders have been considered.
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Mochurad, L., Solomiia, A. (2020). Optimizing the Computational Modeling of Modern Electronic Optical Systems. In: Lytvynenko, V., Babichev, S., Wójcik, W., Vynokurova, O., Vyshemyrskaya, S., Radetskaya, S. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2019. Advances in Intelligent Systems and Computing, vol 1020. Springer, Cham. https://doi.org/10.1007/978-3-030-26474-1_41
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