The use of DRM for inverse problems of Poisson´s equation

The paper presents the use of the dual reciprocity boundary element method (DRM) for the solution of the inverse problem described with Poisson´s equation. The DRM approach has been chosen because it is ideal for the treatment of the nonhomogeneous part of Poisson´s equation that determines the source distribution of the inverse problem. The mixed "0-1" order boundary elements were used to discretize the problem. The overdetermined system, obtained with the inverse problem, has been solved using the least square method, Powell´s method and Fletcher´s method. The presented DRM approach to the solution of the inverse problem is demonstrated on a 2D problem that has an analytical solution.