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.