ABSTRACT

The Exodus method was first suggested in and was applied to heat problems. It was later developed for electromagnetics. Although the method is probabilistic in approach, it is not subject to randomness as other Monte Carlo methods (MCMs) such as fixed random walk and floating random walk. The Exodus method does not need a random generating routine, and this makes the solution independent of the computing facilities. This chapter applies the Exodus method to Laplace's equation and extends the applicability of the method to Poisson's equation. It applies the Exodus method to Dirichlet problems in rectangular and axisymmetric solution regions. The chapter presents two examples that are used to illustrate the solution of Poisson's equation by the Exodus method. The solution region of the first example is rectangular, whereas that of the second example is axisymmetric. The two examples have exact analytic solutions so that accuracy and validity of the numerical technique can be checked.