Implementation of the FDTD algorithm on GPU using a pyramid method

Abstract

In this paper we develop a pyramid method in the context of solving time-dependent Maxwell's equations based on the finite difference time domain (FDTD) approach, which is implemented on a Реализация разностного решения уравнений Максвелла на графических процессорах … Малышева С.А., Головашкин Д.Л. Компьютерная оптика, 2016, том 40, № 2 187 graphics processing unit (GPU). Application of this method allows the impact of the GPU's limited memory capacity on the computation time to be reduced, which is significant for the FDTD method.

Application of the pyramid method in difference solution d’Alembert equations on graphic processor with the use of Matlab

“…In the early 80's of the last century [1], the difference solution of the d'Alembert equation was also applied to it, which is still being done [1,4]. We note that when solving the wave equation the problem of video memory shortage is more acute than for Maxwell's equations because of the necessity of finite-difference approximation of second, not first-order derivatives.…”