containing thin layers of separation. The problem here is resolution. Many degrees of freedom are needed to accu-Fast hierarchical methods for potential field evaluations have in recent years found interesting applications in computational physics rately represent the solution, if this at all is possible. In and engineering. For example, these methods have been used in such situations, and if the geometry is simple, asymptotic combination with integral equation methods for solving the electromethods may provide a viable alternative.
static and elastostatic equations for materials with inclusions. A This paper presents a general purpose algorithm that can lingering obstacle on the way to constructing a general purpose be used to solve two-dimensional electrostatic inclusion algorithm for inclusion problems is the treatment of inclusion interfaces that lie very close to each other. The difficulty is to assess the problems in the presence of strong inhomogeneity, thin need for resolution and to evaluate layer potentials close to their bridges, and narrow necks. As we shall see, the algorithm sources in a fast and accurate fashion. This paper presents an autoalso works well for corners and cusps. In seven numerical mated algorithm for such an assessment and evaluation. The roexamples we will demonstrate its versatility, speed, and bustness and speed of the algorithm is demonstrated through a accuracy. Some of these examples, involving disks and series of examples involving thin bridges, coatings, narrow necks, corners, cusps, and random mixtures.