Řešení 2D Neumannovy úlohy s Laplaceovým operátorem nepřímou metodou hraničních prvků

Abstract

In this work the Indirect Boundary Element Method and its use in solving 2D interior and exterior Neumann boundary value problem with Laplace operator is presented. Method is based on finding the solution in the form of one of the potentials and reformulating the boundary value problem into integral equations based on the potential boundary properties. In this work these equations are solved using the collocation method. For exterior boundary value problem we use the Kelvin transformation which allows us to transform the problem on unlimited domain into an interior boundary value problem. Precision of the method is consequently compared with results given by the Finite Diference Method for either inner and outer problems.