Title :
Applying absorbing Markov chains to solve Poisson´s equation in inhomogeneous regions
Author :
Garcia, Raymond C. ; Sadiku, Matthew N O ; Gu, Keming
Author_Institution :
Commun. Syst. Center, Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
Monte Carlo methods are generally known for solving field problems one point at a time unlike other numerical methods such as the finite difference and finite element methods which provide simultaneously the solution at all of the grid nodes. This work presents an absorbing Markov chain method to solve Poisson´s equation with Dirichlet boundary conditions for intractable inhomogeneous problems
Keywords :
Markov processes; Poisson equation; boundary-value problems; electromagnetic fields; inhomogeneous media; matrix algebra; Dirichlet boundary conditions; Poisson´s equation; absorbing Markov chains; computational electromagnetics; electromagnetic fields; inhomogeneous regions; intractable inhomogeneous problems; Absorption; Boundary conditions; Electromagnetic scattering; Electromagnetic waveguides; Finite difference methods; Heat engines; Monte Carlo methods; Poisson equations; Power engineering; Voltage;
Conference_Titel :
SoutheastCon 2001. Proceedings. IEEE
Conference_Location :
Clemson, SC
Print_ISBN :
0-7803-6748-0
DOI :
10.1109/SECON.2001.923108
