Abstract
In this paper we study a non-overlapping domain decomposition method combined with an iteration algorithm applied to the Helmholtz equation. We use a transmission type condition which has been introduced by Despres [3] on the boundaries of sub-domains. Modifying the proof in [3], we prove the convergence of the iteration scheme. We propose two algorithms of numerical calculation by finite element method based on this iteration scheme, and we demonstrate the efficiency of our algorithms.
