Haoyu, L.; Russer, J. A.; Wenquan, Che; Russer, P.
A Monte Carlo method approach for the solution of the Helmholtz equation
Monte Carlo Methods are non-deterministic simulation methods. In this paper, a Markov Chain Monte Carlo method (MCMC) is presented to solve the Helmholtz equation. Different from other types of Monte Carlo methods, the MCMC method can give the whole field distribution after one matrix operation. The method is investigated and applied to solve one- and two-dimensional electromagnetic wave problems.
Finite Difference method Helmholtz equation Monte Carlo methods