Multitrace Formulations and Dirichlet-Neumann Algorithms

摘要

Using a simple model problem and two subdomains, we explained multitrace formulations and a naturally associated iterative method of domain decomposition type. Using the formalism of Dirichlet to Neumann operators, we showed that for a particular choice of the relaxation parameter in the multitrace iteration, a combined sequence of an unrelaxed Dirichlet-Neumann and Neumann-Dirichlet algorithm is obtained. Our analysis also indicates good choices for the relaxation parameter in the multitrace iteration, which was confirmed by numerical experiments.