• DocumentCode
    3102049
  • 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
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    166
  • Lastpage
    168
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    SoutheastCon 2001. Proceedings. IEEE
  • Conference_Location
    Clemson, SC
  • Print_ISBN
    0-7803-6748-0
  • Type

    conf

  • DOI
    10.1109/SECON.2001.923108
  • Filename
    923108