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Iurii Borisovich Minin's Projects

2d_gravitational_problem icon 2d_gravitational_problem

We solve 2D gravitational problem in the sphere. Particles changes their velocities in the mirrored velocities.

cugmres icon cugmres

We propose implementations of the Generalized Minimal Residual Method (GMRES) for solving linear systems based on dense, Toeplitz or mixed matrices. The software consists of a python module and a C++ library. The mixed matrices consist of the sum of the diag- onal and the Toeplitz matrices. The GMRES solver is parallelized for running on NVIDIA GPGPU accelerator. We report on the efficiency of the parallelization method applying GMRES to the Helmholtz linear system based on the use of Green’s Function Integral Equation Method (GFIEM) for computing electric field distribution in the design domain.

projectwave icon projectwave

Evolutionary Structural Optimization Algorithm based on FFT-GFIEM Solver for Inverse Design of Wave Devices

pycugmres icon pycugmres

GMRES implementation for Toeplitz-like (Toeplitz, Hankel, Circulant) matrices and mixed (combinations of Diagonal ones and Toeplitz-like ones) matrices

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