Application of Fast Multipole VBEM to Two-Dimensional Potential Problems

Fast multipole VBEM (virtual boundary element method) is a new algorithm developed for VBEM recently. The computational cost and memory requirement of fast multipole VBEM is more than an order of magnitude lower than that of conventional VBEM without changing accuracy, which makes it possible to solve large-scale problems on a desktop. In this paper, 2-D potential problems are studied. Numerical examples are presented to demonstrate the feasibility, accuracy and efficiency of the method.