2009•International Conference on SystemsRequires access

The solving of a stationary transport equation by fictitious domain method

Nikos E. Mastorakis, Olga I. Martin

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 D2. The theoretical results are verified with the help of a numerical example.

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Key concepts: Fictitious domain method, Domain (mathematical analysis), Boundary value problem, Mathematical analysis, Mathematics, Boundary (topology), Applied mathematics, Set (abstract data type)