In this paper an iterative domain decomposition method for the solution of Laplace's equation is described and its effectiveness in time-domain computations of nonlinear water waves with a panel method is investigated. An important aspect of these computations is the varying shape of the free surface. The convergence of the iterative method is fast and leads to a speedup of the computations in the aforementioned application. The domain decomposition method gives a considerable reduction of memory requirements. Furthermore, it lends itself naturally for parallel computing.
de Haas, P. C. A., & Zandbergen, P. J. (1996). The Application of Domain Decomposition to Time-Domain Computations of Nonlinear Water Waves with a Panel Method. Journal of computational physics, 129(2), 332-344. https://doi.org/10.1006/jcph.1996.0253