Abstract
A geometric multigrid solver is tested as a field solver for Particle-in-Cell simulations. The convergence of the multigrid solver for different boundary conditions is verified. The iterative solver reuses the solution from the last timestep in order to decrease the number of iterations. An electron avalanche in argon gas is a test example for the method to check the performance in a self-consistent field simulation. Performance of multigrid method was compared with LU decomposition which seems to be a viable alternative even for moderate-sized problems.
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