Title :
A Monte Carlo method approach for the solution of the Helmholtz equation
Author :
Liu Haoyu;Johannes A. Russer;Che Wenquan;Peter Russer
Author_Institution :
Nanjing University of Science and Technology, Nanjing, China
Abstract :
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.
Keywords :
"Monte Carlo methods","Markov processes","Mathematical model","Simulation","Finite difference methods","Finite element analysis","Electromagnetics"
Conference_Titel :
Microwave Conference (APMC), 2015 Asia-Pacific
Print_ISBN :
978-1-4799-8765-8
DOI :
10.1109/APMC.2015.7413522