Abstract
Various domain decompositionmethods have been proposed for the Helmholtz equation, with the Optimized Schwarz Method (OSM) being one of them (see e.g. [7] for a review of various domain decomposition methods, and [3] for the details of OSM). In this paper, we focus on OSM, which is based on the idea of using approximated half-space Dirichlet-to-Neumann (DtN) maps to improve the convergence of the Schwarz methods; current version of the OSM is based on polynomial approximation of the half-space DtN map. See [8] for a review of various approaches to approximating the half-space DtN map (more commonly referred to as Absorbing Boundary Conditions (ABCs)).
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Guddati, M.N., Thirunavukkarasu, S. (2013). Improving the Convergence of Schwarz Methods for Helmholtz Equation. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_22
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DOI: https://doi.org/10.1007/978-3-642-35275-1_22
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