"Numerical integration of Poisson's equation using a graphics processing
unit with CUDAtechnology" Evstigneev N.M. 
A parallel implementation of the cyclic multigrid method for solving a boundary value problem for Poisson's equation in R^{3} is discussed for a graphics processor unit using NVIDIA CUDA technology. The results obtained by the graphics processing unit is compared with the analytical solution for the Dirichlet problem and with the numerical CPUsolution for the DirichletNeumann problem. The acceleration of the parallel NVIDIA GeForce 8800 GTX code compared to the AMD Athlon 64X2 4800+ serial code is found to be about 200 times for 1 000 000 discrete elements. Moreover, a 8core workstation based on two Intel(R) Xeon(R) 2.33HHz CPUs is found to be slower by 40 times than that of the GPU code. Keywords: Poisson's equation, cyclic multigrid method, parallel computing, graphics processing unit, CUDA technology

Evstigneev N.M. email: evstigneevNM@yandex.ru 