Abstract: In this paper we present a new algorithm for solving the global illumination problem, based on the mathematical framework resulting from the dual set of equations that describe light transport in a three-dimensional environment. The proposed method is a finite element algorithm and propagates radiance as well as potential, thereby focusing on the rapid and efficient computation of the flux emitted by selected patches. We will show that the method takes into account all possible light paths, and that a faster solution can be obtained compared to other radiosity algorithms.