Dinara Giniyatova

Bio: Dinara Giniyatova is an academic researcher from Kazan Federal University. The author has contributed to research in topics: Diffraction & CUDA. The author has an hindex of 1, co-authored 1 publications receiving 4 citations.

Solving Problem of Electromagnetic Wave Diffraction by a Metal Plate Using CUDA

Abstract: In the present paper the problem of plane electromagnetic wave diffraction by a thin metal plate is considered. A numerical algorithm is developed using method of moments with NVIDIA CUDA technology implementation. The results of numerical modeling of a plane wave diffraction by the square thin metallic plate is shown. Comparative analysis of the performance for CPU and GPU is carried out. It is shown that the method of moments implementation by graphical processor provides a sufficient gain in the performance.

I and i

Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

Solving the Problem of Electromagnetic Wave Diffraction by a Flat Screen Using CUDA

Abstract: The problem of electromagnetic wave diffraction by a flat convex screen of arbitrary shape is considered. The numerical solution for the problem is obtained by the method of moments using the parallel programming technology CUDA. As basic and testing functions RWG functions are used. To construct the corresponding RWG elements on CUDA, a simple and fast algorithm of triangulation for a convex screen with an arbitrary boundary is developed. Numerical results are presented for the problem of diffraction by a rectangular screen, as well as by screen octagonal shape. The results obtained for the rectangle are in good correspondence with the results published in previous works. A comparative analysis of the running time of sequential and parallel algorithms is presented. The analysis shows that the method of moments implementation by GPU significantly improves the performance of the algorithm for solving the problem of electromagnetic wave diffraction by the flat metal screens.

Application of the Collocation Method for Solving the Problem of Diffraction of an Electromagnetic Wave by a Rectangular Metal Plate

Abstract: The classical problem of the electromagnetic wave diffraction by a rectangular perfectly conducting metal plate is considered. The solution of the problem is reduced to the solving integral equations for the tangential components of the magnetic intensity vector on the metal surface. The collocation method is applied to the equation with the representation of the sought functions in the form of a series in the Chebyshev polynomials of the 1st and 2nd kind. Numerical experiments have been carried out for a different number of terms of the Fourier series of the sought functions and a different number of collocation points. Graphs comparing the results obtained for various parameters are presented. It is shown that an increase in the number of collocation points leads to a greater stability of the solution. It is concluded that there is no clear-cut convergence of the solution with this choice of collocation points.