Method for quickly realizing two-dimensional electrostatic particle simulation based on Sylvester equation

The invention discloses a method for quickly realizing two-dimensional electrostatic particle simulation based on a Sylvester equation, and belongs to the field of electromagnetic field particle simulation. According to the two-dimensional electrostatic particle simulation method based on the Sylvester equation, the Sylvester equation is used for solving the Poisson equation in two-dimensional electrostatic particle simulation, the calculation amount of the square order is reduced to the constant order of magnitude, consumption of calculation memory resources is greatly reduced, the calculation rate of the two-dimensional electrostatic particle simulation method based on the SUPERLU is far superior to the calculation rate of a two-dimensional electrostatic particle simulation method based on the SUPERLU under the same condition, and the calculation efficiency of the two-dimensional electrostatic particle simulation method based on the SUPERLU is greatly improved. Especially when the number of grids is (400, 4