The Solving of a Stationary Transport Equation by Fictitious Domain Method


Mastorakis N. E. , Martin O. I.

9th WSEAS International Conference on Systems Theory and Scientific Computation, Moscow, Russia, 20 - 22 August 2009, pp.157-158 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Moscow
  • Country: Russia
  • Page Numbers: pp.157-158

Abstract

In this paper a numerical method for solving a two-dimensional stationary transport equation is presented. Using the techniques of the variational calculus and method of the fictitious domain, we create an algorithm that leads to the solution of a boundary - value problem for the set D, which has an arbitrary shape. In this approach, the initial domain D (called physical domain) is immersed in a square domain D-2. The theoretical results are verified with the help of a numerical example.